Found 160 Documents (Results 1–100)
Phase portraits of a class of cubic systems with an ellipse and a straight line as invariant algebraic curves. (English) Zbl 07878132
The cyclicity of a class of quadratic reversible systems with hyperelliptic curves. (English) Zbl 07863177
Reviewer: Joan C. Artés (Barcelona)
Surfaces with central configuration and Dulac’s problem for a three dimensional isolated Hopf singularity. arXiv:2401.16484
Preprint, arXiv:2401.16484 [math.DS] (2024).
Estimating the number of zeros of abelian integrals for the perturbed cubic \(Z_4\)-equivariant planar Hamiltonian system. (English) Zbl 07847369
Geodesic flow on an intersection of several confocal quadrics in \(\mathbb{R}^n\). (English. Russian original) Zbl 1543.37058
Sb. Math. 214, No. 7, 897-918 (2023); translation from Mat. Sb. 214, No. 7, 3-26 (2023).
Reviewer: Milena Radnović (Sydney)
Real algebraic geometry with a view toward Koopman operator methods. Abstracts from the workshop held March 12–17, 2023. (English) Zbl 1525.00020
MSC:
00B05
00B25
14-06
14Pxx
12D15
13J30
14M12
14Q30
37M25
44A60
46N10
47A57
49M29
49N35
52A20
52A27
52A41
90C22
90C25
90C26
93B28
Initial Application of SONC to Lyapunov Stability of Dynamical Systems. arXiv:2303.02031
Preprint, arXiv:2303.02031 [math.OC] (2023).
Abelian integrals for a kind of quadratic reversible centers of genus one \((r7)\). (English) Zbl 07906573
On the cyclicity of quasi-homogeneous polynomial systems. (English) Zbl 1507.34036
Reviewer: Iliya Iliev (Sofia)
Corrigendum to: “Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems”. (English) Zbl 1493.34107
Limit cycles bifurcating from a class of cubic Hamiltonian systems. (English) Zbl 1502.34038
Reviewer: Yong Ye (Shenzhen)
Upper bound on the number of zeros of abelian integrals for hyperbolic Hamiltonian systems of degree seven. (English) Zbl 1506.37078
Reviewer: Maite Grau (Lleida)
Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system. (English) Zbl 1525.34041
Isospectral connections, ergodicity of frame flows, and polynomial maps between spheres. arXiv:2209.11109
Preprint, arXiv:2209.11109 [math.DS] (2022).
Tau functions and KP solutions on families of algebraic curves. arXiv:2208.07013
Preprint, arXiv:2208.07013 [math.AG] (2022).
Discovering Poncelet invariants in the plane. Paper from the 33rd Brazilian mathematics colloquium – 33°Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, August 2–6, 2021. (English) Zbl 1511.14001
Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-65-89124-43-6). 250 p., open access (2021).
Reviewer: Hans-Peter Schröcker (Innsbruck)
Nilpotence of orbits under monodromy and the length of Melnikov functions. (English) Zbl 1493.37057
Reviewer: Jesus Muciño Raymundo (Morelia)
Some open problems in low dimensional dynamical systems. (English) Zbl 1487.37024
Reviewer: William J. Satzer Jr. (St. Paul)
Number of zeros of abelian integrals perturbed by piecewise \(n\)-degree polynomials for a class of Hamiltonian systems with \(1:2\) resonance. (Chinese. English summary) Zbl 1488.34230
Cyclicity of a class of Hamiltonian systems under perturbations of piecewise smooth polynomials. (English) Zbl 1486.37032
Reviewer: Iliya Iliev (Sofia)
The complex orthogonal Gelfand-Zeitlin system. (English) Zbl 1490.37082
Reviewer: Ivailo M. Mladenov (Sofia)
Parameter identification on abelian integrals to achieve Chebyshev property. (English) Zbl 1484.34094
Reviewer: Maite Grau (Lleida)
Sharp bound of the number of zeros for a Liénard system with a heteroclinic loop. (English) Zbl 1465.34043
The number of limit cycles bifurcating from the period annulus of quasi-homogeneous Hamiltonian systems at any order. (English) Zbl 1465.34042
Reviewer: Yanqin Xiong (Nanjing)
Real hypersurfaces with isometric Reeb flow in Kähler manifolds. (English) Zbl 1456.53042
Reviewer: Gabriel Eduard Vilcu (Ploieşti)
Superintegrable geodesic flows on the hyperbolic plane. arXiv:2110.02703
Preprint, arXiv:2110.02703 [math-ph] (2021).
Various results in relation with the hypergeometric equations and the hypergeometric functions in the complex plane. (English) Zbl 1513.30003
The number of zeros of abelian integral for a quintic Hamiltonian systems with a rose-figure loop. (English) Zbl 1499.34227
A linear estimation to the number of zeros for abelian integrals in a kind of quadratic reversible centers of genus one. (English) Zbl 1455.34029
Linear type global centers of cubic Hamiltonian systems symmetric with respect to the \(x\)-axis. (English) Zbl 1448.37071
Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems. (English) Zbl 1444.34058
Nonlinearity 33, No. 6, 2723-2754 (2020); corrigendum ibid. 35, No. 8, C13-C17 (2022).
New family of abelian integrals satisfying Chebyshev property. (English) Zbl 1464.34056
Reviewer: Maite Grau (Lleida)
Perturbation of a period annulus bounded by a saddle-saddle cycle in a hyperelliptic Hamiltonian systems of degree seven. (English) Zbl 1446.34055
Reviewer: Iliya Iliev (Sofia)
On the monotonicity of the ratio of some hyperelliptic integrals of order 7. (English) Zbl 1434.34032
Reviewer: Maite Grau (Lleida)
Poincaré bifurcation of limit cycles from a Liénard system with a homoclinic loop passing through a nilpotent saddle. (English) Zbl 1453.34049
On the number of zeros of abelian integral for a class of cubic Hamilton systems with the phase portrait “butterfly”. (English) Zbl 1431.34043
Infinite orbit depth and length of Melnikov functions. (English) Zbl 1435.37086
Reviewer: Alexander Grin (Grodno)
On the number of zeros of abelian integral for a class of cubic Hamiltonian systems. (English) Zbl 1440.34035
Reviewer: Valery A. Gaiko (Minsk)
Exact bound on the number of zeros of abelian integrals for two hyper-elliptic Hamiltonian systems of degree 4. (English) Zbl 1435.37077
Reviewer: Valery A. Gaiko (Minsk)
On the number of limit cycles bifurcated from some Hamiltonian systems with a non-elementary heteroclinic loop. (English) Zbl 1404.34034
Suprintegrable models on riemannian surfaces of revolution with integrals of any integer degree (II). arXiv:1806.10978
Preprint, arXiv:1806.10978 [math-ph] (2018).
The number of zeros of abelian integrals for a perturbation of a hyper-elliptic Hamiltonian system with a nilpotent center and a cuspidal loop. (English) Zbl 1413.34136
Limit cycles, Abelian integral and Hilbert’s sixteenth problem. Paper from the 31st Brazilian mathematics colloquium – 31\(^{\text o}\) Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, July 30 – August 5, 2017. (English) Zbl 1406.37005
Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0437-5/pbk). 106 p., open access (2017).
Reviewer: Alexander Grin (Grodno)
The perturbation of a class of hyper-elliptic Hamilton system with a double eight figure loop. (English) Zbl 1384.37079
Reviewer: Valery A. Gaiko (Minsk)
On the number of zeros of abelian integrals for a kind of Hamiltonian systems of degree three. (Chinese. English summary) Zbl 1389.34104
Normal forms and global phase portraits of quadratic and cubic integrable vector fields having two nonconcentric circles as invariant algebraic curves. (English) Zbl 1386.34057
Integrability of dynamical systems: algebra and analysis. (English) Zbl 1373.37053
Developments in Mathematics 47. Singapore: Springer (ISBN 978-981-10-4225-6/hbk; 978-981-10-4226-3/ebook). xv, 380 p. (2017).
Reviewer: Arsen Melikyan (Brasília)
Bifurcation diagrams for Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields. (English) Zbl 1369.34057
Reviewer: Jaume Giné (Lleida)
Book review of: F. Bracci (ed.) et al., Complex analysis and geometry. KSCV 10, Gyeongju, Korea, August 2014. (English) Zbl 1354.00017
MSC:
00A17
32-06
32A25
32F45
32H02
32H50
32M05
32M15
32T15
32T27
32Q15
32U05
32V20
32W05
32C35
14P99
37F10
00B25
Bifurcation of limit cycles in a class of Liénard systems with a cusp and nilpotent saddle. (English) Zbl 1513.34153
Bound the number of limit cycles bifurcating from center of polynomial Hamiltonian system via interval analysis. (English) Zbl 1355.34058
On the number of limit cycles for perturbed pendulum equations. (English) Zbl 1346.34029
Reviewer: Maite Grau (Lleida)
Zeros of Abelian integrals for a quartic Hamiltonian with figure-of-eight loop through a nilpotent saddle. (English) Zbl 1345.34041
Reviewer: M. A. M. Alwash (Culver City)
Periodic orbits in 3-dimensional systems and application to a perturbed Volterra system. (English) Zbl 1382.34033
Reviewer: Klaus R. Schneider (Berlin)
Global resolution of singularities subordinated to a 1-dimensional foliation. (English) Zbl 1336.14010
Reviewer: Aleksandr G. Aleksandrov (Moskva)
A family of projectively natural polygon iterations. arXiv:1602.02699
Preprint, arXiv:1602.02699 [math.DS] (2016).
The sharp bound on the number of zeros of abelian integral for a perturbation of hyper-elliptic Hamiltonian system. (Chinese. English summary) Zbl 1488.34229
On complexified analytic Hamiltonian flows and geodesics on the space of Kähler metrics. (English) Zbl 1333.58003
Reviewer: Nicolai K. Smolentsev (Kemerovo)
Complex analysis and geometry. KSCV 10. Proceedings of the 10th symposium, Gyeongju, South Korea, August 7–11, 2014. (English) Zbl 1328.32001
Springer Proceedings in Mathematics & Statistics 144. Tokyo: Springer (ISBN 978-4-431-55743-2/hbk; 978-4-431-55744-9/ebook). ix, 377 p. (2015).
MSC:
32-06
32A25
32F45
32H02
32H50
32M05
32M15
32T15
32T27
32Q15
32U05
32V20
32W05
32C35
14P99
37F10
00B25
Cubic homogeneous polynomial centers. (English) Zbl 1321.34048
Reviewer: Alexander Grin (Grodno)
Slow divergence integral and its application to classical Liénard equations of degree 5. (English) Zbl 1312.34073
Reviewer: Xiang Zhang (Shanghai)
On the limit cycles bifurcating from a quadratic reversible center of genus one. (English) Zbl 1417.34076
The perturbations of a class of hyper-elliptic Hamilton systems with a double homoclinic loop through a nilpotent saddle. (English) Zbl 1288.34050
Reviewer: Valery A. Gaiko (Minsk)
On restricted analytic gradients on analytic isolated surface singularities. (English) Zbl 1326.37019
Reviewer: Themistocles M. Rassias (Athens)
Poincaré bifurcation of a kind of Hamiltonian system under polynomial perturbation. (English) Zbl 1288.34038
Reviewer: Valery A. Gaiko (Minsk)
Bifurcation of isolated closed orbits from degenerated singularity in \(\mathbb{R}^{3}\). (English) Zbl 1316.34043
Reviewer: Iliya Iliev (Sofia)
The number of zeros of abelian integrals for a perturbation of hyperelliptic Hamiltonian system with degenerated polycycle. (English) Zbl 1270.34057
Quadratic perturbations of a class of quadratic reversible center of genus one. (English) Zbl 1281.34056
Alien limit cycles in Liénard equations. (English) Zbl 1262.34036
Reviewer: Jaume Giné (Lleida)
Bifurcation of limit cycles in small perturbations of a hyper-elliptic Hamiltonian system with two nilpotent saddles. (English) Zbl 1319.34067
Bifurcation of limit cycles for a class of quintic Hamiltonian systems with double heteroclinic loops. (Chinese. English summary) Zbl 1289.34108
Abelian integrals and limit cycles. (English) Zbl 1270.34004
Reviewer: Valery Romanovski (Maribor)
Limit cycles bifurcated from some reversible quadratic centres with a non-algebraic first integral. (English) Zbl 1250.34026
Reviewer: Valery A. Gaiko (Minsk)
Real and complex singularities. Collected papers of the 11th international workshop on real and complex singularities in honor of David Mond’s 60th birthday, Instituto de Ciências Matemáticas e de Computação Universidade de São Paulo, São Carlos, Brazil, July 26–30, 2010. (English) Zbl 1241.00014
Contemporary Mathematics 569. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5359-7/pbk). xiii, 202 p. (2012).
Limit cycle bifurcation by perturbing a cuspidal loop of order 2 in a Hamiltonian system. (English) Zbl 1244.34048
Reviewer: Eugene Ershov (St. Petersburg)
On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems. (English) Zbl 1236.34038
Reviewer: Alexander Grin (Grodno)
Cyclicity of several quadratic reversible systems with center of genus one. (English) Zbl 1304.34059
Bifurcation of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems of degree 5 with a cusp. (English) Zbl 1304.34058
Quadratic perturbations of a quadratic reversible center of genus one. (English) Zbl 1232.34050
Reviewer: Iliya Iliev (Sofia)
The cyclicity of the period annulus of a quadratic reversible system with a hemicycle. (English) Zbl 1228.34052
Reviewer: Iliya Iliev (Sofia)
On the number of limit cycles which appear by perturbation of Hamiltonian two-saddle cycles of planar vector fields. (English) Zbl 1234.34025
Reviewer: Iliya Iliev (Sofia)
Existence, number, and stability of limit cycles in weakly dissipative, strongly nonlinear oscillators. (English) Zbl 1219.34043
Reviewer: M. A. M. Alwash (Culver City)
An improved lower bound on the number of limit cycles bifurcating from a Hamiltonian planar vector field of degree 7. (English) Zbl 1193.34061
Bifurcations and distribution of limit cycles which appear from two nests of periodic orbits. (English) Zbl 1211.34041
Reviewer: Armengol Gasull (Barcelona)
On the number of critical periods for planar polynomial systems of arbitrary degree. (English) Zbl 1203.34049
Reviewer: Jaume Giné (Lleida)
Bifurcations of limit cycles in a reversible quadratic system with a center, a saddle and two nodes. (English) Zbl 1198.34049
Reviewer: M. A. M. Alwash (Culver City)
Quadratic perturbations of a class of quadratic reversible systems with one center. (English) Zbl 1198.34050
Reviewer: Alexander Grin (Grodno)
A criterion of the monotonicity of the ratio of two Abelian integrals in a class of Hamilton system. (Chinese. English summary) Zbl 1212.34105
Bifurcations of limit cycles in a class of hyper-elliptic Liénard systems. (English) Zbl 1189.34067
Reviewer: Douglas S. Shafer (Charlotte)
The cyclicity of period annulus of a quadratic reversible Lotka-Volterra system. (English) Zbl 1193.34062
Reviewer: Iliya Iliev (Sofia)
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