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Author ID: ortega.rafael Recent zbMATH articles by "Ortega, Rafael"
Published as: Ortega, Rafael; Ortega, R.
External Links: MGP · ResearchGate · dblp
all top 5

Serials

11 Journal of Differential Equations
8 Proceedings of the American Mathematical Society
5 Journal of Mathematical Analysis and Applications
5 Nonlinearity
5 Differential and Integral Equations
5 Journal of Dynamics and Differential Equations
5 Nonlinear Analysis. Theory, Methods & Applications
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Ergodic Theory and Dynamical Systems
4 Advanced Nonlinear Studies
3 Proceedings of the London Mathematical Society. Third Series
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Celestial Mechanics and Dynamical Astronomy
3 Discrete and Continuous Dynamical Systems
3 Communications in Contemporary Mathematics
3 Discrete and Continuous Dynamical Systems. Series B
3 SIAM Journal on Applied Dynamical Systems
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Archiv der Mathematik
2 Journal of the London Mathematical Society. Second Series
2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
2 Numerical Methods for Partial Differential Equations
2 Topological Methods in Nonlinear Analysis
2 Regular and Chaotic Dynamics
2 Qualitative Theory of Dynamical Systems
2 Portugaliae Mathematica. Nova Série
1 Applicable Analysis
1 Journal of Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Advances in Mathematics
1 Bulletin of the London Mathematical Society
1 Czechoslovak Mathematical Journal
1 Journal of Functional Analysis
1 Journal of Mathematics of Kyoto University
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Transactions of the American Mathematical Society
1 Topology and its Applications
1 Bulletin de la Classe des Sciences. 5e Série
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid
1 SIAM Journal on Mathematical Analysis
1 Bollettino della Unione Matemàtica Italiana. Serie VII. B
1 Nonlinear World
1 NoDEA. Nonlinear Differential Equations and Applications
1 Advances in Differential Equations
1 Journal of the European Mathematical Society (JEMS)
1 Annales Henri Poincaré
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas
1 Communications on Pure and Applied Analysis
1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino
1 De Gruyter Series in Nonlinear Analysis and Applications
1 Annals of the University of Bucharest. Mathematical Series
1 Electronic Research Archive

Publications by Year

Citations contained in zbMATH Open

122 Publications have been cited 1,466 times in 827 Documents Cited by Year
Asymmetric oscillators and twist mappings. Zbl 0860.34017
Ortega, Rafael
79
1996
Boundedness in a piecewise linear oscillator and a variant of the small twist theorem. Zbl 1030.34035
Ortega, Rafael
67
1999
Roots of unity and unbounded motions of an asymmetric oscillator. Zbl 0899.34023
Alonso, José Miguel; Ortega, Rafael
55
1998
The periodic predator-prey Lotka-Volterra model. Zbl 0849.34026
López-Gómez, Julián; Ortega, Rafael; Tineo, Antonio
42
1996
Periodic solutions of a Newtonian equation: Stability by the third approximation. Zbl 0855.34058
Ortega, Rafael
42
1996
Unbounded solutions of semilinear equations at resonance. Zbl 0896.34026
Alonso, José Miguel; Ortega, Rafael
40
1996
Almost periodic linear differential equations with non-separated solutions. Zbl 1108.34008
Ortega, Rafael; Tarallo, Massimo
37
2006
The stability of the equilibrium of a nonlinear Hill’s equation. Zbl 0807.34065
Ortega, Rafael
35
1994
Stability and index of periodic solutions of an equation of Duffing type. Zbl 0686.34052
Ortega, Rafael
32
1989
A maximum principle for periodic solutions of the telegraph equation. Zbl 0932.35016
Ortega, Rafael; Robles-Pérez, Aureliano M.
31
1998
The index of Lyapunov stable fixed points in two dimensions. Zbl 0811.34018
Dancer, E. N.; Ortega, R.
27
1994
Some applications of the topological degree to stability theory. Zbl 0834.34058
Ortega, Rafael
26
1995
A periodic prey-predator system. Zbl 0808.34043
Amine, Zitan; Ortega, Rafael
26
1994
Invariant curves of mappings with averaged small twist. Zbl 1136.37336
Ortega, Rafael
24
2001
Topological degree and stability of periodic solutions for certain differential equations. Zbl 0677.34042
Ortega, Rafael
23
1990
On the families of periodic orbits of the Sitnikov problem. Zbl 1159.70010
Llibre, Jaume; Ortega, Rafael
23
2008
A maximum principle for bounded solutions of the telegraph equations and applications to nonlinear forcings. Zbl 0972.35016
Mawhin, Jean; Ortega, Rafael; Robles-Pérez, Aureliano M.
21
2000
Optimal bounds for bifurcation values of a superlinear periodic problem. Zbl 1088.34036
Ortega, Rafael; Zhang, Meirong
18
2005
The twist coefficient of periodic solutions of a time-dependent Newton’s equation. Zbl 0761.34036
Ortega, Rafael
18
1992
Maximum principles for bounded solutions of the telegraph equation in space dimensions two and three and applications. Zbl 1082.35040
Mawhin, Jean; Ortega, Rafael; Robles-Pérez, Aureliano M.
18
2005
Parabolic fixed points and stability criteria for nonlinear Hill’s equation. Zbl 0973.34046
Núñez, Daniel; Ortega, Rafael
18
2000
A counterexample for the damped pendulum equation. Zbl 0679.70022
Ortega, R.
18
1987
Periodic differential equations in the plane. A topological perspective. Zbl 1427.34052
Ortega, Rafael
16
2019
Abstract competitive systems and orbital stability in \(\mathbb R^3\). Zbl 0951.34032
Ortega, Rafael; Sánchez, Luis Ángel
16
2000
Existence of asymptotically stable periodic solutions of a forced equation of Liénard type. Zbl 0802.34050
Zitan, Amine; Ortega, Rafael
16
1994
Dynamics of a forced oscillator having an obstacle. Zbl 1054.34057
Ortega, R.
16
2002
Linear motions in a periodically forced Kepler problem. Zbl 1235.34136
Ortega, Rafael
15
2011
Bounded solutions of second order semilinear evolution equations and applications to the telegraph equation. Zbl 0927.34048
Alonso, Jose Miguel; Mawhin, Jean; Ortega, Rafael
15
1999
Homeomorphisms of the disk with trivial dynamics and extinction of competitive systems. Zbl 0886.34025
Campos, Juan; Ortega, Rafael; Tineo, Antonio
15
1997
Almost periodic upper and lower solutions. Zbl 1043.34046
Ortega, Rafael; Tarallo, Massimo
15
2003
Boundedness and global asymptotic stability of a forced oscillator. Zbl 0826.34043
Alonso, Jose Miguel; Ortega, Rafael
14
1995
The first interval of stability of a periodic equation of Duffing type. Zbl 0757.34035
Ortega, Rafael
14
1992
Non-continuation of the periodic oscillations of a forced pendulum in the presence of friction. Zbl 0970.34037
Ortega, Rafael; Serra, Enrico; Tarallo, Massimo
14
2000
A variational method for the existence of bounded solutions of a sublinear forced oscillator. Zbl 1072.34038
Ortega, Rafael; Verzini, Gianmaria
14
2004
Global bifurcations from the center of mass in the Sitnikov problem. Zbl 1380.70028
Ortega, Rafael; Rivera, Andrés
14
2010
The number of stable periodic solutions of time-dependent Hamiltonian systems with one degree of freedom. Zbl 0946.34036
Ortega, Rafael
13
1998
Periodic perturbations of an isochronous center. Zbl 1043.34049
Ortega, Rafael
13
2002
Complete orbits for twist maps on the plane: extensions and applications. Zbl 1228.37035
Kunze, Markus; Ortega, Rafael
12
2011
Complete orbits for twist maps on the plane: the case of small twist. Zbl 1276.37035
Kunze, Markus; Ortega, Rafael
12
2011
A criterion for asymptotic stability based on topological degree. Zbl 0846.34056
Ortega, Rafael
12
1996
Differential equations with limit-periodic forcings. Zbl 1021.34015
Alonso, Ana I.; Obaya, Rafael; Ortega, Rafael
12
2003
Degree theory and almost periodic problems. Zbl 1204.34054
Ortega, Rafael
12
2008
Regularized variational principles for the perturbed Kepler problem. Zbl 1482.70016
Barutello, Vivina; Ortega, Rafael; Verzini, Gianmaria
12
2021
Periodic solutions and regularization of a Kepler problem with time-dependent perturbation. Zbl 1422.37041
Boscaggin, Alberto; Ortega, Rafael; Zhao, Lei
11
2019
Monotone twist maps and periodic solutions of systems of Duffing type. Zbl 1331.34070
Boscaggin, Alberto; Ortega, Rafael
11
2014
On the spectrum of some linear noncooperative elliptic systems with radial symmetry. Zbl 0841.35031
Dancer, E. N.; López-Gómez, J.; Ortega, R.
11
1995
Generic results for the existence of nondegenerate periodic solutions of some differential systems with periodic nonlinearities. Zbl 0742.34043
Martinez-Amores, P.; Mawhin, J.; Ortega, R.; Willem, M.
11
1991
Symmetric periodic solutions in the Sitnikov problem. Zbl 1354.34072
Ortega, Rafael
11
2016
Massera’s theorem for quasi-periodic differential equations. Zbl 1005.37021
Ortega, Rafael; Tarallo, Massimo
11
2002
Superlinear elliptic boundary value problems. Zbl 0668.35032
Kannan, Rangachary; Ortega, Rafael
11
1987
Stability of a periodic problem of Ambrosetti-Prodi type. Zbl 0724.34059
Ortega, Rafael
11
1990
Global asymptotic stability of a forced Newtonian system with dissipation. Zbl 0844.34047
Alonso, José Miguel; Ortega, Rafael
11
1995
Twist mappings with non-periodic angles. Zbl 1326.37032
Kunze, Markus; Ortega, Rafael
10
2013
An exclusion principle for periodic competitive systems in three dimensions. Zbl 0901.34049
Ortega, Rafael; Tineo, Antonio
10
1998
Nonexistence of periodic solutions of a complex Riccati equation. Zbl 0842.34046
Campos, Juan; Ortega, Rafael
10
1996
Periodic solutions of pendulum-type equations. Zbl 0608.34047
Kannan, Rangachary; Ortega, Rafael
10
1985
Landesman-Lazer conditions for problems with “one-side unbounded” nonlinearities. Zbl 0624.35033
Kannan, Rangachary; Ortega, Rafael
10
1985
Existence of solutions of \(x''+x+g(x)=p(t)\), \(x(0)=0=x(\pi)\). Zbl 0585.34001
Kannan, Rangachary; Ortega, Rafael
10
1986
Attractors with vanishing rotation number. Zbl 1253.37048
Ortega, Rafael; Ruiz del Portal, Francisco R.
9
2011
On the number of positive periodic solutions for planar competing Lotka-Volterra systems. Zbl 0903.34037
Ortega, Rafael; Tineo, Antonio
9
1995
Resonance and non-resonance in a problem of boundedness. Zbl 0858.34018
Ortega, Rafael; Tineo, Antonio
9
1996
Escaping orbits are rare in the quasi-periodic Fermi-Ulam ping-pong. Zbl 1437.37028
Kunze, Markus; Ortega, Rafael
9
2020
Almost periodic equations and conditions of Ambrosetti-Prodi type. Zbl 1055.34085
Ortega, Rafael; Tarallo, Massimo
9
2003
Complete orbits for twist maps on the plane. Zbl 1149.37024
Kunze, Markus; Ortega, Rafael
9
2008
Periodic solutions of a perturbed Kepler problem in the plane: from existence to stability. Zbl 1343.37045
Boscaggin, Alberto; Ortega, Rafael
8
2016
A duality theorem for periodic solutions of a class of second order evolution equations. Zbl 1010.34054
Ortega, Rafael; Robles-Pérez, Aureliano M.
8
2001
Twist mappings, invariant curves and periodic differential equations. Zbl 1172.34326
Ortega, Rafael
8
2001
Maximum principles around an eigenvalue with constant eigenfunctions. Zbl 1170.35029
Campos, J.; Mawhin, J.; Ortega, R.
8
2008
Prevalence of non-degenerate periodic solutions in the forced pendulum equation. Zbl 1278.34042
Ortega, Rafael
7
2013
Subharmonic solutions of the forced pendulum equation: a symplectic approach. Zbl 1303.34028
Boscaggin, A.; Ortega, R.; Zanolin, F.
7
2014
A forced pendulum equation with many periodic solutions. Zbl 0899.34031
Ortega, Rafael
7
1997
A boundedness result of Landesman-Lazer type. Zbl 0817.34017
Ortega, Rafael
7
1995
Existence theorems for equations in normed spaces and boundary value problems for nonlinear vector ordinary differential equations. Zbl 0558.47046
Cañada, A.; Ortega, R.
7
1984
Asymptotic stability of forced oscillations emanating from a limit cycle. Zbl 1213.34060
Makarenkov, Oleg; Ortega, Rafael
7
2011
Generalized periodic orbits in some restricted three-body problems. Zbl 1498.70015
Ortega, Rafael; Zhao, Lei
7
2021
Some analytical results about periodic orbits in the restricted three body problem with dissipation. Zbl 1266.70014
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota
6
2012
Dynamics of Kepler problem with linear drag. Zbl 1298.70010
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota
6
2014
The pendulum equation: from periodic to almost periodic forcings. Zbl 1240.34222
Ortega, Rafael
5
2009
Persistence of equilibria as periodic solutions of forced systems. Zbl 1237.34077
Buică, Adriana; Ortega, Rafael
5
2012
Long-time stability estimates for the non-periodic Littlewood boundedness problem. Zbl 1272.34043
Kunze, Markus; Ortega, Rafael
5
2013
Stable periodic solutions in the forced pendulum equation. Zbl 1303.34031
Ortega, Rafael
5
2013
Degenerate equations of pendulum-type. Zbl 0958.34033
Ortega, Rafael; Tarallo, Massimo
5
2000
On Littlewood’s problem for the asymmetric oscillator. Zbl 1020.34032
Ortega, Rafael
5
1998
Periodic solutions of forced oscillators with several degrees of freedom. Zbl 1041.34003
Ortega, Rafael; Sánchez, Luis A.
5
2002
Nonexistence of radial solutions of two elliptic boundary value problems. Zbl 0721.35022
Ortega, Rafael
5
1990
Variations on Lyapunov’s stability criterion and periodic prey-predator systems. Zbl 1493.34153
Ortega, Rafael
5
2021
On a family of Kepler problems with linear dissipation. Zbl 1473.70028
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota
5
2017
Periodic motions in forced problems of Kepler type. Zbl 1246.34035
Amster, Pablo; Haddad, Julián; Ortega, Rafael; Ureña, Antonio J.
5
2011
Point-vortex stability under the influence of an external periodic flow. Zbl 1393.37068
Ortega, Rafael; Ortega, Víctor; Torres, Pedro J.
4
2018
First integrals for the Kepler problem with linear drag. Zbl 1374.70025
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota
4
2017
A homotopical property of attractors. Zbl 1362.37036
Ortega, Rafael; Sánchez-Gabites, Jaime J.
4
2015
Instability of periodic solutions obtained by minimization. Zbl 1210.37042
Ortega, Rafael
4
2004
On the number of solutions to semilinear boundary value problem. Zbl 1142.35425
Kunze, Markus; Ortega, Rafael
4
2004
A finite difference approach to the equations of age-dependent population dynamics. Zbl 0677.65142
Kannan, Rangachary; Ortega, Rafael
4
1989
Stability and index of periodic solutions of a nonlinear telegraph equation. Zbl 1089.37046
Ortega, Rafael
4
2005
Attractors with irrational rotation number. Zbl 1267.37040
Hernández-Corbato, Luis; Ortega, Rafael; Ruiz del Portal, Francisco R.
4
2012
Stability of periodic solutions of Hamiltonian systems with low dimension. Zbl 1440.37059
Ortega, Rafael
4
2017
Functions with average and bounded motions of a forced discontinuous oscillator. Zbl 1443.34020
Enguiça, Ricardo; Ortega, Rafael
3
2019
Smooth linearisation of planar periodic maps. Zbl 1423.37027
Cima, A.; Gasull, A.; Mañosas, F.; Ortega, R.
3
2019
A forced pendulum equation without stable periodic solutions of a fixed period. Zbl 1323.34057
Ortega, Rafael
3
2014
A two-point boundary value problem associated with Hamiltonian systems on a cylinder. Zbl 1533.37131
Fonda, Alessandro; Ortega, Rafael
3
2023
Regularized variational principles for the perturbed Kepler problem. Zbl 1482.70016
Barutello, Vivina; Ortega, Rafael; Verzini, Gianmaria
12
2021
Generalized periodic orbits in some restricted three-body problems. Zbl 1498.70015
Ortega, Rafael; Zhao, Lei
7
2021
Variations on Lyapunov’s stability criterion and periodic prey-predator systems. Zbl 1493.34153
Ortega, Rafael
5
2021
Escaping orbits are rare in the quasi-periodic Fermi-Ulam ping-pong. Zbl 1437.37028
Kunze, Markus; Ortega, Rafael
9
2020
Some rigorous results on the 1:1 resonance of the spin-orbit problem. Zbl 1476.70051
Misquero, Mauricio; Ortega, Rafael
2
2020
Periodic differential equations in the plane. A topological perspective. Zbl 1427.34052
Ortega, Rafael
16
2019
Periodic solutions and regularization of a Kepler problem with time-dependent perturbation. Zbl 1422.37041
Boscaggin, Alberto; Ortega, Rafael; Zhao, Lei
11
2019
Functions with average and bounded motions of a forced discontinuous oscillator. Zbl 1443.34020
Enguiça, Ricardo; Ortega, Rafael
3
2019
Smooth linearisation of planar periodic maps. Zbl 1423.37027
Cima, A.; Gasull, A.; Mañosas, F.; Ortega, R.
3
2019
Periodic oscillators, isochronous centers and resonance. Zbl 1411.34051
Ortega, Rafael; Rojas, David
3
2019
A proof of Bertrand’s theorem using the theory of isochronous potentials. Zbl 1481.34046
Ortega, Rafael; Rojas, David
2
2019
Stability of periodic solutions of the \(N\)-vortex problem in general domains. Zbl 1436.37065
Gebhard, Björn; Ortega, Rafael
2
2019
Point-vortex stability under the influence of an external periodic flow. Zbl 1393.37068
Ortega, Rafael; Ortega, Víctor; Torres, Pedro J.
4
2018
On a family of Kepler problems with linear dissipation. Zbl 1473.70028
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota
5
2017
First integrals for the Kepler problem with linear drag. Zbl 1374.70025
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota
4
2017
Stability of periodic solutions of Hamiltonian systems with low dimension. Zbl 1440.37059
Ortega, Rafael
4
2017
Symmetric periodic solutions in the Sitnikov problem. Zbl 1354.34072
Ortega, Rafael
11
2016
Periodic solutions of a perturbed Kepler problem in the plane: from existence to stability. Zbl 1343.37045
Boscaggin, Alberto; Ortega, Rafael
8
2016
A homotopical property of attractors. Zbl 1362.37036
Ortega, Rafael; Sánchez-Gabites, Jaime J.
4
2015
Linearization of planar involutions in \(\mathcal C^1\). Zbl 1352.37053
Cima, A.; Gasull, A.; Mañosas, F.; Ortega, R.
2
2015
Monotone twist maps and periodic solutions of systems of Duffing type. Zbl 1331.34070
Boscaggin, Alberto; Ortega, Rafael
11
2014
Subharmonic solutions of the forced pendulum equation: a symplectic approach. Zbl 1303.34028
Boscaggin, A.; Ortega, R.; Zanolin, F.
7
2014
Dynamics of Kepler problem with linear drag. Zbl 1298.70010
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota
6
2014
A forced pendulum equation without stable periodic solutions of a fixed period. Zbl 1323.34057
Ortega, Rafael
3
2014
Twist mappings with non-periodic angles. Zbl 1326.37032
Kunze, Markus; Ortega, Rafael
10
2013
Prevalence of non-degenerate periodic solutions in the forced pendulum equation. Zbl 1278.34042
Ortega, Rafael
7
2013
Long-time stability estimates for the non-periodic Littlewood boundedness problem. Zbl 1272.34043
Kunze, Markus; Ortega, Rafael
5
2013
Stable periodic solutions in the forced pendulum equation. Zbl 1303.34031
Ortega, Rafael
5
2013
Some analytical results about periodic orbits in the restricted three body problem with dissipation. Zbl 1266.70014
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota
6
2012
Persistence of equilibria as periodic solutions of forced systems. Zbl 1237.34077
Buică, Adriana; Ortega, Rafael
5
2012
Attractors with irrational rotation number. Zbl 1267.37040
Hernández-Corbato, Luis; Ortega, Rafael; Ruiz del Portal, Francisco R.
4
2012
The complex periodic problem for a Riccati equation. Zbl 1274.34128
Ortega, Rafael
2
2012
Index and persistence of stable Cantor sets. Zbl 1268.37069
Ortega, Rafael; Ruiz-Herrera, Alfonso
2
2012
Linear motions in a periodically forced Kepler problem. Zbl 1235.34136
Ortega, Rafael
15
2011
Complete orbits for twist maps on the plane: extensions and applications. Zbl 1228.37035
Kunze, Markus; Ortega, Rafael
12
2011
Complete orbits for twist maps on the plane: the case of small twist. Zbl 1276.37035
Kunze, Markus; Ortega, Rafael
12
2011
Attractors with vanishing rotation number. Zbl 1253.37048
Ortega, Rafael; Ruiz del Portal, Francisco R.
9
2011
Asymptotic stability of forced oscillations emanating from a limit cycle. Zbl 1213.34060
Makarenkov, Oleg; Ortega, Rafael
7
2011
Periodic motions in forced problems of Kepler type. Zbl 1246.34035
Amster, Pablo; Haddad, Julián; Ortega, Rafael; Ureña, Antonio J.
5
2011
A dynamical characterization of planar symmetries. Zbl 1273.37012
Ortega, Rafael
2
2011
Global bifurcations from the center of mass in the Sitnikov problem. Zbl 1380.70028
Ortega, Rafael; Rivera, Andrés
14
2010
The pendulum equation: from periodic to almost periodic forcings. Zbl 1240.34222
Ortega, Rafael
5
2009
On the families of periodic orbits of the Sitnikov problem. Zbl 1159.70010
Llibre, Jaume; Ortega, Rafael
23
2008
Degree theory and almost periodic problems. Zbl 1204.34054
Ortega, Rafael
12
2008
Complete orbits for twist maps on the plane. Zbl 1149.37024
Kunze, Markus; Ortega, Rafael
9
2008
Maximum principles around an eigenvalue with constant eigenfunctions. Zbl 1170.35029
Campos, J.; Mawhin, J.; Ortega, R.
8
2008
Retracts, fixed point index and differential equations. Zbl 1160.34049
Ortega, Rafael
3
2008
Location of fixed points and periodic solutions in the plane. Zbl 1360.34090
Campos, Juan; Ortega, Rafael
1
2008
Topological translations and nonlinear resonance. Zbl 1120.37025
Dambrosio, Walter; Ortega, Rafael
1
2007
Almost periodic linear differential equations with non-separated solutions. Zbl 1108.34008
Ortega, Rafael; Tarallo, Massimo
37
2006
Unbounded motions in forced Newtonian equations. Zbl 1103.34042
Ortega, Rafael
2
2006
Optimal bounds for bifurcation values of a superlinear periodic problem. Zbl 1088.34036
Ortega, Rafael; Zhang, Meirong
18
2005
Maximum principles for bounded solutions of the telegraph equation in space dimensions two and three and applications. Zbl 1082.35040
Mawhin, Jean; Ortega, Rafael; Robles-Pérez, Aureliano M.
18
2005
Stability and index of periodic solutions of a nonlinear telegraph equation. Zbl 1089.37046
Ortega, Rafael
4
2005
A variational method for the existence of bounded solutions of a sublinear forced oscillator. Zbl 1072.34038
Ortega, Rafael; Verzini, Gianmaria
14
2004
Instability of periodic solutions obtained by minimization. Zbl 1210.37042
Ortega, Rafael
4
2004
On the number of solutions to semilinear boundary value problem. Zbl 1142.35425
Kunze, Markus; Ortega, Rafael
4
2004
The first 60 years of nonlinear analysis of Jean Mawhin. Papers from the conference, Sevilla, Spain, April 2003. Zbl 1064.35002
2
2004
Almost periodic upper and lower solutions. Zbl 1043.34046
Ortega, Rafael; Tarallo, Massimo
15
2003
Differential equations with limit-periodic forcings. Zbl 1021.34015
Alonso, Ana I.; Obaya, Rafael; Ortega, Rafael
12
2003
Almost periodic equations and conditions of Ambrosetti-Prodi type. Zbl 1055.34085
Ortega, Rafael; Tarallo, Massimo
9
2003
Dynamics of a forced oscillator having an obstacle. Zbl 1054.34057
Ortega, R.
16
2002
Periodic perturbations of an isochronous center. Zbl 1043.34049
Ortega, Rafael
13
2002
Massera’s theorem for quasi-periodic differential equations. Zbl 1005.37021
Ortega, Rafael; Tarallo, Massimo
11
2002
Periodic solutions of forced oscillators with several degrees of freedom. Zbl 1041.34003
Ortega, Rafael; Sánchez, Luis A.
5
2002
A maximum principle for bounded solutions of the telegraph equation in space dimension three. Zbl 1002.35027
Mawhin, Jean; Ortega, Rafael; Robles-Pérez, Aureliano M.
3
2002
Invariant curves of mappings with averaged small twist. Zbl 1136.37336
Ortega, Rafael
24
2001
A duality theorem for periodic solutions of a class of second order evolution equations. Zbl 1010.34054
Ortega, Rafael; Robles-Pérez, Aureliano M.
8
2001
Twist mappings, invariant curves and periodic differential equations. Zbl 1172.34326
Ortega, Rafael
8
2001
A maximum principle for bounded solutions of the telegraph equations and applications to nonlinear forcings. Zbl 0972.35016
Mawhin, Jean; Ortega, Rafael; Robles-Pérez, Aureliano M.
21
2000
Parabolic fixed points and stability criteria for nonlinear Hill’s equation. Zbl 0973.34046
Núñez, Daniel; Ortega, Rafael
18
2000
Abstract competitive systems and orbital stability in \(\mathbb R^3\). Zbl 0951.34032
Ortega, Rafael; Sánchez, Luis Ángel
16
2000
Non-continuation of the periodic oscillations of a forced pendulum in the presence of friction. Zbl 0970.34037
Ortega, Rafael; Serra, Enrico; Tarallo, Massimo
14
2000
Degenerate equations of pendulum-type. Zbl 0958.34033
Ortega, Rafael; Tarallo, Massimo
5
2000
Positively homogeneous equations in the plane. Zbl 1079.34011
Fonda, Alessandro; Ortega, Rafael
3
2000
Counting periodic solutions of the forced pendulum equation. Zbl 0967.34037
Ortega, Rafael
3
2000
Boundedness in a piecewise linear oscillator and a variant of the small twist theorem. Zbl 1030.34035
Ortega, Rafael
67
1999
Bounded solutions of second order semilinear evolution equations and applications to the telegraph equation. Zbl 0927.34048
Alonso, Jose Miguel; Mawhin, Jean; Ortega, Rafael
15
1999
Roots of unity and unbounded motions of an asymmetric oscillator. Zbl 0899.34023
Alonso, José Miguel; Ortega, Rafael
55
1998
A maximum principle for periodic solutions of the telegraph equation. Zbl 0932.35016
Ortega, Rafael; Robles-Pérez, Aureliano M.
31
1998
The number of stable periodic solutions of time-dependent Hamiltonian systems with one degree of freedom. Zbl 0946.34036
Ortega, Rafael
13
1998
An exclusion principle for periodic competitive systems in three dimensions. Zbl 0901.34049
Ortega, Rafael; Tineo, Antonio
10
1998
On Littlewood’s problem for the asymmetric oscillator. Zbl 1020.34032
Ortega, Rafael
5
1998
Homeomorphisms of the disk with trivial dynamics and extinction of competitive systems. Zbl 0886.34025
Campos, Juan; Ortega, Rafael; Tineo, Antonio
15
1997
A forced pendulum equation with many periodic solutions. Zbl 0899.34031
Ortega, Rafael
7
1997
Nonexistence of invariant curves of mappings with small twist. Zbl 0907.58058
Ortega, Rafael
2
1997
Asymmetric oscillators and twist mappings. Zbl 0860.34017
Ortega, Rafael
79
1996
The periodic predator-prey Lotka-Volterra model. Zbl 0849.34026
López-Gómez, Julián; Ortega, Rafael; Tineo, Antonio
42
1996
Periodic solutions of a Newtonian equation: Stability by the third approximation. Zbl 0855.34058
Ortega, Rafael
42
1996
Unbounded solutions of semilinear equations at resonance. Zbl 0896.34026
Alonso, José Miguel; Ortega, Rafael
40
1996
A criterion for asymptotic stability based on topological degree. Zbl 0846.34056
Ortega, Rafael
12
1996
Nonexistence of periodic solutions of a complex Riccati equation. Zbl 0842.34046
Campos, Juan; Ortega, Rafael
10
1996
Resonance and non-resonance in a problem of boundedness. Zbl 0858.34018
Ortega, Rafael; Tineo, Antonio
9
1996
Some applications of the topological degree to stability theory. Zbl 0834.34058
Ortega, Rafael
26
1995
Boundedness and global asymptotic stability of a forced oscillator. Zbl 0826.34043
Alonso, Jose Miguel; Ortega, Rafael
14
1995
On the spectrum of some linear noncooperative elliptic systems with radial symmetry. Zbl 0841.35031
Dancer, E. N.; López-Gómez, J.; Ortega, R.
11
1995
Global asymptotic stability of a forced Newtonian system with dissipation. Zbl 0844.34047
Alonso, José Miguel; Ortega, Rafael
11
1995
On the number of positive periodic solutions for planar competing Lotka-Volterra systems. Zbl 0903.34037
Ortega, Rafael; Tineo, Antonio
9
1995
A boundedness result of Landesman-Lazer type. Zbl 0817.34017
Ortega, Rafael
7
1995
...and 22 more Documents
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Cited by 779 Authors

55 Ortega, Rafael
29 Torres Villarroya, Pedro José
22 Fonda, Alessandro
20 Zhang, Meirong
18 Obaya, Rafael
15 Amster, Pablo
15 Boscaggin, Alberto
15 Liang, Zaitao
15 Liu, Bin
14 Li, Xiong
14 Yang, Xiaojing
13 Mawhin, Jean
13 Nuñez, Daniel E.
13 Qian, Dingbian
12 Campos, Juan
12 Ruiz-Herrera, Alfonso
12 Zanolin, Fabio
11 An, Yukun
11 Makarenkov, Oleg Yuryĭovych
11 Tarallo, Massimo
11 Ureña, Antonio J.
11 Wang, Fanglei
11 Wang, Yiqian
10 Chu, Jifeng
10 Liu, Qihuai
10 López-Gómez, Julián
10 Wang, Feng
9 Andres, Jan
9 Dambrosio, Walter
9 Kunze, Markus
9 Marò, Stefano
9 Piao, Daxiong
9 Sfecci, Andrea
8 Gazzola, Filippo
8 Núñez Jiménez, Carmen
8 Rivera, Andrés M.
8 Ruiz del Portal, Francisco Romero
8 Teng, Zhi-dong
8 Tineo, Antonio R.
8 Wang, Zhiguo
7 Llibre, Jaume
7 Wang, Yi
6 Barge Yáñez, Héctor
6 Chen, Lansun
6 Drábek, Pavel
6 Essebbar, Brahim
6 Feltrin, Guglielmo
6 Frauenfelder, Urs Adrian
6 Li, Shengjun
6 Muñoz-Hernández, Eduardo
6 Rojas, David
5 Cao, Zhenbang
5 Cheng, Zhibo
5 Kannan, Rangachary
5 Korman, Philip L.
5 Krasnosel’skiĭ, Aleksandr Markovich
5 Li, Denghui
5 Liao, Fangfang
5 Lisena, Benedetta
5 Miguel-Alonso, Jose
5 Niu, Lei
5 Peng, Yaqun
5 Sovrano, Elisa
5 Toader, Rodica
5 Xu, Junxiang
5 Zhang, Xinli
4 Cen, Xiuli
4 Chen, Hongbin
4 Cheng, Xuhua
4 Cid, José Ángel
4 de la Llave, Rafael
4 Garrione, Maurizio
4 Gidoni, Paolo
4 Jiang, Jifa
4 Jiang, Shunjun
4 Kokocki, Piotr
4 Kuo, Chungcheng
4 Langa, Jose’ Antonio
4 Ma, Zhichao
4 Mariani, Maria Cristina
4 Meng, Gang
4 Murcia, Larry
4 Nieto Roig, Juan Jose
4 Novo, Sylvia
4 Robles-Pérez, Aureliano M.
4 Salazar, José Miguel
4 Sanchez, Luis Angel
4 Sanz, Ana M.
4 Shao, Jianying
4 Wang, Chao
4 Wang, Zaihong
4 Xie, Jianhua
4 Zhou, Zhe
3 Barutello, Vivina L.
3 Beltritti, Gastón
3 Berchio, Elvise
3 Cañada Villar, Antonio
3 Cao, Junfei
3 Caraballo Garrido, Tomás
3 de Nápoli, Pablo Luis
...and 679 more Authors
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Cited in 174 Serials

101 Journal of Differential Equations
68 Journal of Mathematical Analysis and Applications
52 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
28 Nonlinear Analysis. Real World Applications
23 Journal of Dynamics and Differential Equations
19 Proceedings of the American Mathematical Society
18 Qualitative Theory of Dynamical Systems
15 Applied Mathematics and Computation
15 Nonlinear Analysis. Theory, Methods & Applications
14 Discrete and Continuous Dynamical Systems
13 Mathematical Methods in the Applied Sciences
13 Celestial Mechanics and Dynamical Astronomy
12 Nonlinearity
12 Abstract and Applied Analysis
11 Discrete and Continuous Dynamical Systems. Series B
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Physica D
10 Applied Mathematics Letters
10 Acta Mathematica Sinica. English Series
10 Advanced Nonlinear Studies
10 Boundary Value Problems
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Chaos, Solitons and Fractals
8 Communications on Pure and Applied Analysis
7 Communications in Contemporary Mathematics
7 SIAM Journal on Applied Dynamical Systems
6 Computers & Mathematics with Applications
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Topological Methods in Nonlinear Analysis
6 NoDEA. Nonlinear Differential Equations and Applications
6 Journal of Difference Equations and Applications
6 Advances in Difference Equations
5 Applicable Analysis
5 Mathematische Nachrichten
5 Ergodic Theory and Dynamical Systems
5 Acta Mathematicae Applicatae Sinica. English Series
5 Mathematical and Computer Modelling
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 SIAM Journal on Mathematical Analysis
5 Mediterranean Journal of Mathematics
5 Journal of Fixed Point Theory and Applications
4 Communications in Mathematical Physics
4 Journal of Mathematical Physics
4 Archiv der Mathematik
4 Science in China. Series A
4 Regular and Chaotic Dynamics
4 Frontiers of Mathematics in China
4 Science China. Mathematics
4 Electronic Research Archive
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Transactions of the American Mathematical Society
3 Topology and its Applications
3 Zeitschrift für Analysis und ihre Anwendungen
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Numerical Methods for Partial Differential Equations
3 Applications of Mathematics
3 Calculus of Variations and Partial Differential Equations
3 Mathematical Problems in Engineering
3 Differential Equations and Dynamical Systems
3 Journal of Inequalities and Applications
3 Discrete Dynamics in Nature and Society
3 Communications in Nonlinear Science and Numerical Simulation
3 Annales Henri Poincaré
3 Differential Equations
3 Discrete and Continuous Dynamical Systems. Series S
3 Advances in Nonlinear Analysis
2 Archive for Rational Mechanics and Analysis
2 Israel Journal of Mathematics
2 Physica A
2 Rocky Mountain Journal of Mathematics
2 Advances in Mathematics
2 Czechoslovak Mathematical Journal
2 Journal of Functional Analysis
2 Mathematica Slovaca
2 Monatshefte für Mathematik
2 Applied Mathematics and Mechanics. (English Edition)
2 Chinese Annals of Mathematics. Series B
2 Applied Mathematical Modelling
2 Journal of Nonlinear Science
2 Electronic Journal of Differential Equations (EJDE)
2 Doklady Mathematics
2 Nonlinear Dynamics
2 Taiwanese Journal of Mathematics
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Dynamical and Control Systems
2 Journal of Nonlinear Mathematical Physics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Cubo
2 Acta Mathematica Sinica. Chinese Series
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of Applied Analysis and Computation
2 Evolution Equations and Control Theory
2 Journal of Function Spaces
2 Open Mathematics
2 Applied Mathematics and Nonlinear Sciences
1 Acta Mechanica
1 Journal of Mathematical Biology
...and 74 more Serials
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Cited in 41 Fields

553 Ordinary differential equations (34-XX)
291 Dynamical systems and ergodic theory (37-XX)
130 Partial differential equations (35-XX)
114 Mechanics of particles and systems (70-XX)
108 Operator theory (47-XX)
94 Biology and other natural sciences (92-XX)
22 Mechanics of deformable solids (74-XX)
19 Difference and functional equations (39-XX)
16 Abstract harmonic analysis (43-XX)
16 Numerical analysis (65-XX)
12 General topology (54-XX)
12 Global analysis, analysis on manifolds (58-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Probability theory and stochastic processes (60-XX)
9 Systems theory; control (93-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Fluid mechanics (76-XX)
7 Integral equations (45-XX)
6 Algebraic topology (55-XX)
6 Optics, electromagnetic theory (78-XX)
6 Quantum theory (81-XX)
5 Real functions (26-XX)
5 Functions of a complex variable (30-XX)
5 Differential geometry (53-XX)
5 Statistical mechanics, structure of matter (82-XX)
3 Potential theory (31-XX)
3 Functional analysis (46-XX)
3 Manifolds and cell complexes (57-XX)
2 Field theory and polynomials (12-XX)
2 Algebraic geometry (14-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Relativity and gravitational theory (83-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Nonassociative rings and algebras (17-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Approximations and expansions (41-XX)
1 Computer science (68-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)

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