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Pötzsche, Christian

Co-Author Distance
Author ID: potzsche.christian Recent zbMATH articles by "Pötzsche, Christian"
Published as: Pötzsche, Christian; Pötzsche, C.; Pötzsche, Ch.; Poetzsche, Christian
Homepage: https://wwwu.uni-klu.ac.at/cpoetzsc/Christian_Potzsche/
External Links: MGP · dblp
Documents Indexed: 99 Publications since 2001, including 3 Books and 2 Additional arXiv Preprints
6 Contributions as Editor
Reviewing Activity: 325 Reviews
Co-Authors: 35 Co-Authors with 52 Joint Publications
1,153 Co-Co-Authors
all top 5

Co-Authors

53 single-authored
9 Rasmussen, Martin
8 Kloeden, Peter Eris
6 Siegmund, Stefan
4 Russ, Evamaria
4 Skiba, Robert
3 Aulbach, Bernd
3 Nockowska-Rosiak, Magdalena
3 Pituk, Mihály
2 Aarset, Christian
2 Elaydi, Saber Nasr
2 Garab, Ábel
2 Heuberger, Clemens
2 Huynh, Huy
2 Kaltenbacher, Barbara
2 Müller, Johannes
2 Rendl, Franz
1 Anagnostopoulou, Vasso
1 Duan, Jinqiao
1 Ey, Kristine
1 Fuchs, Thilo M.
1 Hamaya, Yoshihiro
1 Henkel, A.
1 Hense, Burkhard A.
1 Horn, Martin Erik
1 Hüls, Thorsten
1 Keller, Stefan
1 Liz, Eduardo
1 Longo, Iacopo P.
1 Matsunaga, Hideaki
1 Palmer, Kenneth James
1 Sasu, Adina Luminiţa
1 Seeber, Richard
1 Steinberger, Martin
1 Tranninger, Markus
1 Wirth, Fabian Roger
all top 5

Serials

8 Internationale Mathematische Nachrichten
7 Journal of Difference Equations and Applications
5 Journal of Dynamics and Differential Equations
4 Journal of Mathematical Analysis and Applications
4 Discrete and Continuous Dynamical Systems. Series B
3 Journal of Differential Equations
3 Mathematische Nachrichten
3 Discrete and Continuous Dynamical Systems
2 Mathematical Methods in the Applied Sciences
2 Applied Mathematics and Computation
2 Journal of Computational and Applied Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Numerische Mathematik
2 Physica D
2 Communications on Pure and Applied Analysis
2 Advances in Difference Equations
2 Lecture Notes in Mathematics
2 Springer Proceedings in Mathematics & Statistics
2 Journal of Computational Dynamics
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 IMA Journal of Numerical Analysis
1 Journal of Mathematical Biology
1 Integral Equations and Operator Theory
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Control and Optimization
1 SIAM Journal on Numerical Analysis
1 Zeitschrift für Analysis und ihre Anwendungen
1 Applied Mathematics Letters
1 Journal of Integral Equations and Applications
1 Dynamic Systems and Applications
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Tatra Mountains Mathematical Publications
1 Topological Methods in Nonlinear Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 Functional Differential Equations
1 Differential Equations and Dynamical Systems
1 Positivity
1 Electronic Journal of Qualitative Theory of Differential Equations
1 Analysis (München)
1 Nonlinear Analysis. Real World Applications
1 Dynamical Systems
1 Stochastics and Dynamics
1 SIAM Journal on Applied Dynamical Systems
1 Discrete and Continuous Dynamical Systems. Series S
1 IFIP Advances in Information and Communication Technology
1 Journal of Theoretical Biology
1 Nonautonomous Dynamical Systems
1 Frontiers in Applied Dynamical Systems: Reviews and Tutorials
all top 5

Fields

66 Dynamical systems and ergodic theory (37-XX)
58 Difference and functional equations (39-XX)
33 Ordinary differential equations (34-XX)
19 Numerical analysis (65-XX)
18 Operator theory (47-XX)
16 Biology and other natural sciences (92-XX)
13 General and overarching topics; collections (00-XX)
13 Integral equations (45-XX)
6 Systems theory; control (93-XX)
5 Partial differential equations (35-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Functional analysis (46-XX)
1 Probability theory and stochastic processes (60-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)
1 Geophysics (86-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

77 Publications have been cited 635 times in 422 Documents Cited by ▼ Year ▼
A spectral characterization of exponential stability for linear time-invariant systems on time scales. Zbl 1054.34086
Pötzsche, Christian; Siegmund, Stefan; Wirth, Fabian
73
2003
Geometric theory of discrete nonautonomous dynamical systems. Zbl 1247.37003
Pötzsche, Christian
70
2010
Chain rule and invariance principle on measure chains. Zbl 1011.34045
Pötzsche, Christian
25
2002
Nonautonomous bifurcation of bounded solutions. I: a Lyapunov-Schmidt approach. Zbl 1215.37017
Pötzsche, Christian
23
2010
Discrete-time nonautonomous dynamical systems. Zbl 1310.37011
Kloeden, P. E.; Pötzsche, C.; Rasmussen, M.
22
2013
Limitations of pullback attractors for processes. Zbl 1241.39004
Kloeden, Peter E.; Pötzsche, Christian; Rasmussen, Martin
19
2012
Fine structure of the dichotomy spectrum. Zbl 1483.47011
Pötzsche, Christian
18
2012
Topological decoupling, linearization and perturbation on inhomogeneous time scales. Zbl 1190.34120
Pötzsche, Christian
18
2008
Nonautonomous continuation of bounded solutions. Zbl 1237.39005
Pötzsche, Christian
17
2011
Taylor approximation of integral manifolds. Zbl 1106.34029
Pötzsche, Christian; Rasmussen, Martin
17
2006
Exponential dichotomies of linear dynamic equations on measure chains under slowly varying coefficients. Zbl 1046.34076
Pötzsche, Christian
17
2004
Nonautonomous dynamical systems in the life sciences. Zbl 1311.37075
Kloeden, Peter E.; Pötzsche, Christian
15
2013
Exponential dichotomies for dynamic equations on measure chains. Zbl 1042.34510
Pötzsche, Christian
15
2001
Slow fiber bundles of dynamic equations on measure chains. (Langsame Faserbündel dynamischer Gleichungen auf Maßketten.) Zbl 1198.37024
Pötzsche, Christian
15
2002
Dichotomy spectra of triangular equations. Zbl 1364.39016
Pötzsche, Christian
15
2016
A note on the dichotomy spectrum. Zbl 1180.39030
Pötzsche, Christian
14
2009
A smoothness theorem for invariant fiber bundles. Zbl 1037.37013
Aulbach, Bernd; Pötzsche, Christian; Siegmund, Stefan
12
2002
Computation of nonautonomous invariant and inertial manifolds. Zbl 1169.65116
Pötzsche, Christian; Rasmussen, Martin
10
2009
Nonautonomous bifurcation of bounded solutions. II: A shovel-bifurcation pattern. Zbl 1258.37029
Pötzsche, Christian
10
2011
Asymptotic behavior of recursions via fixed point theory. Zbl 1138.39007
Ey, Kristine; Pötzsche, Christian
10
2008
Bifurcations in nonautonomous dynamical systems: results and tools in discrete time. Zbl 1242.39026
Pötzsche, Christian
9
2011
Bet-hedging in stochastically switching environments. Zbl 1411.92219
Müller, Johannes; Hense, Burkhard A.; Fuchs, Thilo M.; Utz, M.; Pötzsche, Christian
9
2013
Taylor approximation of invariant fiber bundles for nonautonomous difference equations. Zbl 1070.39023
Pötzsche, Christian; Rasmussen, Martin
9
2005
\(C^m\)-smoothness of invariant fiber bundles. Zbl 1075.39014
Pötzsche, Christian; Siegmund, Stefan
9
2004
Numerical dynamics of integrodifference equations: basics and discretization errors in a \(C^0\)-setting. Zbl 1429.65322
Pötzsche, Christian
8
2019
Reducibility of linear dynamic equations on measure chains. Zbl 1032.39008
Aulbach, Bernd; Pötzsche, Christian
8
2002
PBC-based pulse stabilization of periodic orbits. Zbl 1286.39008
Liz, Eduardo; Pötzsche, Christian
8
2014
Qualitative analysis of a nonautonomous Beverton-Holt Ricker model. Zbl 1326.37017
Hüls, Thorsten; Pötzsche, Christian
8
2014
Bifurcations in a periodic discrete-time environment. Zbl 1278.39023
Pötzsche, Christian
7
2013
Nonautonomous bifurcation scenarios in SIR models. Zbl 1357.37090
Kloeden, P. E.; Pötzsche, C.
7
2015
Continuity and invariance of the Sacker-Sell spectrum. Zbl 1366.39013
Pötzsche, Christian; Russ, Evamaria
6
2016
Nonautonomous dynamical systems in the life sciences. Zbl 1282.37004
5
2013
Integral manifolds under explicit variable time-step discretization. Zbl 1104.34037
Keller, Stefan; Pötzsche, Christian
5
2006
Numerical dynamics of integrodifference equations: global attractivity in a \(C^0\)-setting. Zbl 1429.45004
Poetzsche, Christian
5
2019
Computation of integral manifolds for Carathéodory differential equations. Zbl 1201.65218
Pötzsche, Christian; Rasmussen, Martin
5
2010
Order-preserving nonautonomous discrete dynamics: attractors and entire solutions. Zbl 1327.39004
Pötzsche, Christian
5
2015
Bifurcations in periodic integrodifference equations in \(C(\Omega)\). I: Analytical results and applications. Zbl 1473.37063
Aarset, Christian; Pötzsche, Christian
4
2021
Modeling the spread of Phytophthora. Zbl 1271.92036
Henkel, A.; Müller, J.; Pötzsche, C.
4
2012
Slow and fast variables in non-autonomous difference equations. Zbl 1044.39011
Pötzsche, Christian
4
2003
Linearized stability in the context of an example by Rodrigues and Solà-Morales. Zbl 1450.39008
Garab, Ábel; Pituk, Mihály; Pötzsche, Christian
4
2020
Forward and pullback dynamics of nonautonomous integrodifference equations: basic constructions. Zbl 1495.37025
Huynh, Huy; Kloeden, Peter E.; Pötzsche, Christian
3
2022
Dynamics of modified predator-prey models. Zbl 1202.34086
Kloeden, P. E.; Pötzsche, C.
3
2010
Extended hierarchies of invariant fiber bundles for dynamic equations on measure chains. Zbl 1213.37048
Pötzsche, Christian
3
2010
A functional-analytical approach to the asymptotics of recursions. Zbl 1180.39019
Pötzsche, Christian
3
2009
Invariant foliations and stability in critical cases. Zbl 1139.39034
Pötzsche, Christian
3
2006
Global continuation of homoclinic solutions. Zbl 1420.37010
Pötzsche, Christian; Skiba, Robert
3
2018
Morse decompositions for delay-difference equations. Zbl 1414.39002
Garab, Ábel; Pötzsche, Christian
3
2019
Ergodicity in nonautonomous linear ordinary differential equations. Zbl 1417.37051
Pituk, Mihály; Pötzsche, Christian
3
2019
\(\mathcal{C}^m\)-smoothness of invariant fiber bundles for dynamic equations on measure chains. Zbl 1086.37016
Pötzsche, Christian; Siegmund, Stefan
3
2004
Smooth roughness of exponential dichotomies, revisited. Zbl 1334.39021
Pötzsche, Christian
3
2015
Corrigendum on: “A note on the dichotomy spectrum”. Zbl 1257.39016
Pötzsche, Christian
2
2012
Persistence and imperfection of nonautonomous bifurcation patterns. Zbl 1218.37035
Pötzsche, Christian
2
2011
Robustness of hyperbolic solutions under parametric perturbations. Zbl 1207.39017
Pötzsche, Christian
2
2009
Attractive invariant fiber bundles. Zbl 1127.37023
Pötzsche, Christian
2
2007
Positivity and discretization of Fredholm integral operators. Zbl 1512.65309
Nockowska-Rosiak, Magdalena; Pötzsche, Christian
2
2023
Monotonicity and discretization of Hammerstein integrodifference equations. Zbl 1521.45009
Nockowska-Rosiak, Magdalena; Pötzsche, Christian
2
2023
Bifurcations in periodic integrodifference equations in \(C(\Omega)\): II. Discrete torus bifurcations. Zbl 1441.39011
Aarset, Christian; Pötzsche, Christian
2
2020
Pseudo-stable and pseudo-unstable fiber bundles for dynamic equations on measure chains. Zbl 1046.39011
Pötzsche, Christian
2
2003
Monotonicity and discretization of Urysohn integral operators. Zbl 07428138
Nockowska-Rosiak, Magdalena; Pötzsche, Christian
2
2022
Stability of center fiber bundles for nonautonomous difference equations. Zbl 1074.37018
Pötzsche, Christian
2
2004
Nonautonomous bifurcation theory. Concepts and tools. Zbl 1530.37003
Anagnostopoulou, Vasso; Pötzsche, Christian; Rasmussen, Martin
2
2023
Delay equations on measure chains: basics and linearized stability. Zbl 1117.39324
Pötzsche, Christian
2
2005
Urysohn and Hammerstein operators on Hölder spaces. Zbl 1511.47063
Pötzsche, Christian
2
2022
Uniform convergence of Nyström discretization on Hölder spaces. Zbl 1498.45015
Pötzsche, Christian
2
2022
Ergodicity beyond asymptotically autonomous linear difference equations. Zbl 1409.39005
Pituk, Mihály; Pötzsche, Christian
1
2018
Dissipative delay endomorphisms and asymptotic equivalence. Zbl 1182.39009
Pötzsche, Christian
1
2009
Detectability conditions and state estimation for linear time-varying and nonlinear systems. Zbl 1498.93066
Tranninger, Markus; Seeber, Richard; Steinberger, Martin; Horn, Martin; Pötzsche, Christian
1
2022
Local approximation of invariant fiber bundles: an algorithmic approach. Zbl 1094.65128
Pötzsche, Christian; Rasmussen, Martin
1
2005
Discrete inertial manifolds. Zbl 1146.39030
Pötzsche, Christian
1
2008
A continuation principle for Fredholm maps. I: Theory and basics. Zbl 1523.37030
Pötzsche, Christian; Skiba, Robert
1
2020
Dichotomy spectra of nonautonomous linear integrodifference equations. Zbl 1382.45002
Pötzsche, Christian
1
2017
On periodic dynamic equations on measure chains. Zbl 1089.34035
Pötzsche, Christian
1
2004
Invariant manifolds with asymptotic phase for nonautonomous difference equations. Zbl 1067.39031
Aulbach, B.; Pötzsche, C.
1
2003
A limit set trichotomy for order-preserving systems on time scales. Zbl 1059.37016
Poetzsche, Christian; Siegmund, Stefan
1
2004
System modeling and optimization. 26th IFIP TC 7 conference, CSMO 2013, Klagenfurt, Austria, September 9–13, 2013. Revised selected papers. Zbl 1304.00054
1
2014
Nonautonomous bifurcation of bounded solutions: crossing curve situations. Zbl 1284.37024
Pötzsche, Christian
1
2012
Book review of: K. Nipp and D. Stoffer, Invariant manifolds in discrete and continuous dynamical systems. Zbl 1335.00072
Pötzsche, C.
1
2014
Positivity and discretization of Fredholm integral operators. Zbl 1512.65309
Nockowska-Rosiak, Magdalena; Pötzsche, Christian
2
2023
Monotonicity and discretization of Hammerstein integrodifference equations. Zbl 1521.45009
Nockowska-Rosiak, Magdalena; Pötzsche, Christian
2
2023
Nonautonomous bifurcation theory. Concepts and tools. Zbl 1530.37003
Anagnostopoulou, Vasso; Pötzsche, Christian; Rasmussen, Martin
2
2023
Forward and pullback dynamics of nonautonomous integrodifference equations: basic constructions. Zbl 1495.37025
Huynh, Huy; Kloeden, Peter E.; Pötzsche, Christian
3
2022
Monotonicity and discretization of Urysohn integral operators. Zbl 07428138
Nockowska-Rosiak, Magdalena; Pötzsche, Christian
2
2022
Urysohn and Hammerstein operators on Hölder spaces. Zbl 1511.47063
Pötzsche, Christian
2
2022
Uniform convergence of Nyström discretization on Hölder spaces. Zbl 1498.45015
Pötzsche, Christian
2
2022
Detectability conditions and state estimation for linear time-varying and nonlinear systems. Zbl 1498.93066
Tranninger, Markus; Seeber, Richard; Steinberger, Martin; Horn, Martin; Pötzsche, Christian
1
2022
Bifurcations in periodic integrodifference equations in \(C(\Omega)\). I: Analytical results and applications. Zbl 1473.37063
Aarset, Christian; Pötzsche, Christian
4
2021
Linearized stability in the context of an example by Rodrigues and Solà-Morales. Zbl 1450.39008
Garab, Ábel; Pituk, Mihály; Pötzsche, Christian
4
2020
Bifurcations in periodic integrodifference equations in \(C(\Omega)\): II. Discrete torus bifurcations. Zbl 1441.39011
Aarset, Christian; Pötzsche, Christian
2
2020
A continuation principle for Fredholm maps. I: Theory and basics. Zbl 1523.37030
Pötzsche, Christian; Skiba, Robert
1
2020
Numerical dynamics of integrodifference equations: basics and discretization errors in a \(C^0\)-setting. Zbl 1429.65322
Pötzsche, Christian
8
2019
Numerical dynamics of integrodifference equations: global attractivity in a \(C^0\)-setting. Zbl 1429.45004
Poetzsche, Christian
5
2019
Morse decompositions for delay-difference equations. Zbl 1414.39002
Garab, Ábel; Pötzsche, Christian
3
2019
Ergodicity in nonautonomous linear ordinary differential equations. Zbl 1417.37051
Pituk, Mihály; Pötzsche, Christian
3
2019
Global continuation of homoclinic solutions. Zbl 1420.37010
Pötzsche, Christian; Skiba, Robert
3
2018
Ergodicity beyond asymptotically autonomous linear difference equations. Zbl 1409.39005
Pituk, Mihály; Pötzsche, Christian
1
2018
Dichotomy spectra of nonautonomous linear integrodifference equations. Zbl 1382.45002
Pötzsche, Christian
1
2017
Dichotomy spectra of triangular equations. Zbl 1364.39016
Pötzsche, Christian
15
2016
Continuity and invariance of the Sacker-Sell spectrum. Zbl 1366.39013
Pötzsche, Christian; Russ, Evamaria
6
2016
Nonautonomous bifurcation scenarios in SIR models. Zbl 1357.37090
Kloeden, P. E.; Pötzsche, C.
7
2015
Order-preserving nonautonomous discrete dynamics: attractors and entire solutions. Zbl 1327.39004
Pötzsche, Christian
5
2015
Smooth roughness of exponential dichotomies, revisited. Zbl 1334.39021
Pötzsche, Christian
3
2015
PBC-based pulse stabilization of periodic orbits. Zbl 1286.39008
Liz, Eduardo; Pötzsche, Christian
8
2014
Qualitative analysis of a nonautonomous Beverton-Holt Ricker model. Zbl 1326.37017
Hüls, Thorsten; Pötzsche, Christian
8
2014
System modeling and optimization. 26th IFIP TC 7 conference, CSMO 2013, Klagenfurt, Austria, September 9–13, 2013. Revised selected papers. Zbl 1304.00054
1
2014
Book review of: K. Nipp and D. Stoffer, Invariant manifolds in discrete and continuous dynamical systems. Zbl 1335.00072
Pötzsche, C.
1
2014
Discrete-time nonautonomous dynamical systems. Zbl 1310.37011
Kloeden, P. E.; Pötzsche, C.; Rasmussen, M.
22
2013
Nonautonomous dynamical systems in the life sciences. Zbl 1311.37075
Kloeden, Peter E.; Pötzsche, Christian
15
2013
Bet-hedging in stochastically switching environments. Zbl 1411.92219
Müller, Johannes; Hense, Burkhard A.; Fuchs, Thilo M.; Utz, M.; Pötzsche, Christian
9
2013
Bifurcations in a periodic discrete-time environment. Zbl 1278.39023
Pötzsche, Christian
7
2013
Nonautonomous dynamical systems in the life sciences. Zbl 1282.37004
5
2013
Limitations of pullback attractors for processes. Zbl 1241.39004
Kloeden, Peter E.; Pötzsche, Christian; Rasmussen, Martin
19
2012
Fine structure of the dichotomy spectrum. Zbl 1483.47011
Pötzsche, Christian
18
2012
Modeling the spread of Phytophthora. Zbl 1271.92036
Henkel, A.; Müller, J.; Pötzsche, C.
4
2012
Corrigendum on: “A note on the dichotomy spectrum”. Zbl 1257.39016
Pötzsche, Christian
2
2012
Nonautonomous bifurcation of bounded solutions: crossing curve situations. Zbl 1284.37024
Pötzsche, Christian
1
2012
Nonautonomous continuation of bounded solutions. Zbl 1237.39005
Pötzsche, Christian
17
2011
Nonautonomous bifurcation of bounded solutions. II: A shovel-bifurcation pattern. Zbl 1258.37029
Pötzsche, Christian
10
2011
Bifurcations in nonautonomous dynamical systems: results and tools in discrete time. Zbl 1242.39026
Pötzsche, Christian
9
2011
Persistence and imperfection of nonautonomous bifurcation patterns. Zbl 1218.37035
Pötzsche, Christian
2
2011
Geometric theory of discrete nonautonomous dynamical systems. Zbl 1247.37003
Pötzsche, Christian
70
2010
Nonautonomous bifurcation of bounded solutions. I: a Lyapunov-Schmidt approach. Zbl 1215.37017
Pötzsche, Christian
23
2010
Computation of integral manifolds for Carathéodory differential equations. Zbl 1201.65218
Pötzsche, Christian; Rasmussen, Martin
5
2010
Dynamics of modified predator-prey models. Zbl 1202.34086
Kloeden, P. E.; Pötzsche, C.
3
2010
Extended hierarchies of invariant fiber bundles for dynamic equations on measure chains. Zbl 1213.37048
Pötzsche, Christian
3
2010
A note on the dichotomy spectrum. Zbl 1180.39030
Pötzsche, Christian
14
2009
Computation of nonautonomous invariant and inertial manifolds. Zbl 1169.65116
Pötzsche, Christian; Rasmussen, Martin
10
2009
A functional-analytical approach to the asymptotics of recursions. Zbl 1180.39019
Pötzsche, Christian
3
2009
Robustness of hyperbolic solutions under parametric perturbations. Zbl 1207.39017
Pötzsche, Christian
2
2009
Dissipative delay endomorphisms and asymptotic equivalence. Zbl 1182.39009
Pötzsche, Christian
1
2009
Topological decoupling, linearization and perturbation on inhomogeneous time scales. Zbl 1190.34120
Pötzsche, Christian
18
2008
Asymptotic behavior of recursions via fixed point theory. Zbl 1138.39007
Ey, Kristine; Pötzsche, Christian
10
2008
Discrete inertial manifolds. Zbl 1146.39030
Pötzsche, Christian
1
2008
Attractive invariant fiber bundles. Zbl 1127.37023
Pötzsche, Christian
2
2007
Taylor approximation of integral manifolds. Zbl 1106.34029
Pötzsche, Christian; Rasmussen, Martin
17
2006
Integral manifolds under explicit variable time-step discretization. Zbl 1104.34037
Keller, Stefan; Pötzsche, Christian
5
2006
Invariant foliations and stability in critical cases. Zbl 1139.39034
Pötzsche, Christian
3
2006
Taylor approximation of invariant fiber bundles for nonautonomous difference equations. Zbl 1070.39023
Pötzsche, Christian; Rasmussen, Martin
9
2005
Delay equations on measure chains: basics and linearized stability. Zbl 1117.39324
Pötzsche, Christian
2
2005
Local approximation of invariant fiber bundles: an algorithmic approach. Zbl 1094.65128
Pötzsche, Christian; Rasmussen, Martin
1
2005
Exponential dichotomies of linear dynamic equations on measure chains under slowly varying coefficients. Zbl 1046.34076
Pötzsche, Christian
17
2004
\(C^m\)-smoothness of invariant fiber bundles. Zbl 1075.39014
Pötzsche, Christian; Siegmund, Stefan
9
2004
\(\mathcal{C}^m\)-smoothness of invariant fiber bundles for dynamic equations on measure chains. Zbl 1086.37016
Pötzsche, Christian; Siegmund, Stefan
3
2004
Stability of center fiber bundles for nonautonomous difference equations. Zbl 1074.37018
Pötzsche, Christian
2
2004
On periodic dynamic equations on measure chains. Zbl 1089.34035
Pötzsche, Christian
1
2004
A limit set trichotomy for order-preserving systems on time scales. Zbl 1059.37016
Poetzsche, Christian; Siegmund, Stefan
1
2004
A spectral characterization of exponential stability for linear time-invariant systems on time scales. Zbl 1054.34086
Pötzsche, Christian; Siegmund, Stefan; Wirth, Fabian
73
2003
Slow and fast variables in non-autonomous difference equations. Zbl 1044.39011
Pötzsche, Christian
4
2003
Pseudo-stable and pseudo-unstable fiber bundles for dynamic equations on measure chains. Zbl 1046.39011
Pötzsche, Christian
2
2003
Invariant manifolds with asymptotic phase for nonautonomous difference equations. Zbl 1067.39031
Aulbach, B.; Pötzsche, C.
1
2003
Chain rule and invariance principle on measure chains. Zbl 1011.34045
Pötzsche, Christian
25
2002
Slow fiber bundles of dynamic equations on measure chains. (Langsame Faserbündel dynamischer Gleichungen auf Maßketten.) Zbl 1198.37024
Pötzsche, Christian
15
2002
A smoothness theorem for invariant fiber bundles. Zbl 1037.37013
Aulbach, Bernd; Pötzsche, Christian; Siegmund, Stefan
12
2002
Reducibility of linear dynamic equations on measure chains. Zbl 1032.39008
Aulbach, Bernd; Pötzsche, Christian
8
2002
Exponential dichotomies for dynamic equations on measure chains. Zbl 1042.34510
Pötzsche, Christian
15
2001
all cited Publications top 5 cited Publications
all top 5

Cited by 530 Authors

49 Pötzsche, Christian
21 Kloeden, Peter Eris
16 Xia, Yonghui
11 Rasmussen, Martin
11 Shah, Syed Omar
11 Zada, Akbar
9 Braverman, Elena
9 Caraballo Garrido, Tomás
9 Davis, John M.
9 Defoort, Michael
9 Djemai, Mohamed
9 Hüls, Thorsten
8 Langa, Jose’ Antonio
7 Bartosiewicz, Zbigniew
7 Doan, Thai Son
7 Robledo, Gonzalo
7 Sasu, Adina Luminiţa
7 Sasu, Bogdan
7 Siegmund, Stefan
6 Gravagne, Ian A.
6 Lorenz, Thomas
6 Nolasco de Carvalho, Alexandre
6 Obaya, Rafael
6 Palmer, Kenneth James
6 Pinto, Manuel
6 Rodkina, Alexandra
6 Taousser, Fatima Zohra
5 Cui, Hongyong
5 DaCunha, Jeffrey J.
5 Erbe, Lynn Harry
5 Koo, Namjip
5 Longo, Iacopo P.
5 Megan, Mihail
5 Nguyen Huu Du
5 Popa, Ioan-Lucian
5 Sacker, Robert J.
5 Skiba, Robert
5 Stehlík, Petr
5 Zhang, Jimin
4 Battelli, Flaviano
4 Bortolan, Matheus Cheque
4 Castañeda, Alvaro
4 Choi, Sungkyu
4 Han, Xiaoying
4 Kühn, Christian
4 Liz, Eduardo
4 Nockowska-Rosiak, Magdalena
4 Núñez Jiménez, Carmen
4 Peterson, Allan C.
4 Roberts, Anthony John
4 Wu, Mengda
4 Yang, Meihua
3 Ashwin, Peter
3 Babuţia, Mihai Gabriel
3 Beyn, Wolf-Jürgen
3 Chekroun, Mickaël D.
3 Czornik, Adam
3 Djouadi, Seddik M.
3 Fan, Meng
3 Garab, Ábel
3 Hamza, Alaa E.
3 Jackson, Billy J.
3 Karpuz, Başak
3 Li, Yangrong
3 Liem, Nguyen Chi
3 Lupa, Nicolae
3 Manjunath, G.
3 Müller, Johannes
3 O’Regan, Donal
3 Pervaiz, Bakhtawar
3 Poulsen, Dylan
3 Russ, Evamaria
3 Silva, César M.
3 Slavík, Antonín
3 Steyer, Andrew J.
3 Sultanov, Oskar A.
3 Tisdell, Christopher C.
3 Tomsovic, Kevin
3 Van Vleck, Erik S.
3 Volek, Jonáš
3 Yin, Jinyan
2 Aarset, Christian
2 Agarwal, Ravi P.
2 Amster, Pablo
2 Anh, Pham The
2 Aulbach, Bernd
2 Babenko, Serhii
2 Babiarz, Artur
2 Bai, Yuzhen
2 Ben Nasser, Bacem
2 Bento, António J. G.
2 Biriş, Larisa Elena
2 Bohner, Martin J.
2 Bouin, Emeric
2 Ceauşu, Traian
2 Chang, Xiaoyuan
2 Chu, Jifeng
2 Cui, Yinhua
2 Cuong, Le Viet
2 Do Duc Thuan
...and 430 more Authors
all top 5

Cited in 142 Serials

27 Journal of Difference Equations and Applications
25 Journal of Mathematical Analysis and Applications
23 Journal of Differential Equations
21 Discrete and Continuous Dynamical Systems. Series B
15 Journal of Dynamics and Differential Equations
11 Applied Mathematics and Computation
11 Discrete and Continuous Dynamical Systems
11 SIAM Journal on Applied Dynamical Systems
9 Advances in Difference Equations
8 Qualitative Theory of Dynamical Systems
7 Computers & Mathematics with Applications
7 Mathematical Methods in the Applied Sciences
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Systems & Control Letters
7 Physica D
7 Nonlinear Analysis. Hybrid Systems
6 Nonlinearity
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Journal of Mathematical Biology
5 Automatica
5 Abstract and Applied Analysis
5 Communications on Pure and Applied Analysis
4 International Journal of Control
4 Journal of Computational and Applied Mathematics
4 Proceedings of the American Mathematical Society
4 Bulletin des Sciences Mathématiques
4 Chaos
4 Stochastics and Dynamics
3 Mathematical Biosciences
3 Chaos, Solitons and Fractals
3 Mathematische Nachrichten
3 Numerische Mathematik
3 Differential Equations and Dynamical Systems
3 Discrete Dynamics in Nature and Society
3 Communications in Nonlinear Science and Numerical Simulation
3 Dynamical Systems
3 Journal of Applied Analysis and Computation
2 Journal of the Franklin Institute
2 Journal of Statistical Physics
2 Physica A
2 Bulletin of Mathematical Biology
2 BIT
2 SIAM Journal on Numerical Analysis
2 Mathematical and Computer Modelling
2 MCSS. Mathematics of Control, Signals, and Systems
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Turkish Journal of Mathematics
2 Positivity
2 Nonlinear Analysis. Real World Applications
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Mediterranean Journal of Mathematics
2 Journal of Biological Dynamics
2 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică
2 Journal of Nonlinear Science and Applications
2 Differential Equations and Applications
2 Journal of Theoretical Biology
2 Journal of Computational Dynamics
2 Advances in Nonlinear Analysis
2 Nonautonomous Dynamical Systems
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 Discrete Applied Mathematics
1 General Relativity and Gravitation
1 Inverse Problems
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Engineering Mathematics
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Acta Mathematica Vietnamica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Collectanea Mathematica
1 Fuzzy Sets and Systems
1 Integral Equations and Operator Theory
1 Journal of Functional Analysis
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Monatshefte für Mathematik
1 Numerical Functional Analysis and Optimization
1 Results in Mathematics
1 SIAM Journal on Control and Optimization
1 Note di Matematica
1 Stochastic Analysis and Applications
1 Applied Numerical Mathematics
1 Applied Mathematics Letters
1 Asymptotic Analysis
1 Journal of Integral Equations and Applications
1 Neural Computation
1 Applications of Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 International Journal of Computer Mathematics
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 International Journal of Robust and Nonlinear Control
1 Tatra Mountains Mathematical Publications
1 Set-Valued Analysis
1 Topological Methods in Nonlinear Analysis
...and 42 more Serials
all top 5

Cited in 39 Fields

183 Ordinary differential equations (34-XX)
178 Dynamical systems and ergodic theory (37-XX)
115 Difference and functional equations (39-XX)
60 Biology and other natural sciences (92-XX)
59 Systems theory; control (93-XX)
45 Operator theory (47-XX)
43 Partial differential equations (35-XX)
37 Numerical analysis (65-XX)
23 Integral equations (45-XX)
20 Probability theory and stochastic processes (60-XX)
18 Real functions (26-XX)
6 Computer science (68-XX)
6 Mechanics of particles and systems (70-XX)
5 Combinatorics (05-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Functional analysis (46-XX)
4 General topology (54-XX)
3 Measure and integration (28-XX)
3 Integral transforms, operational calculus (44-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Fluid mechanics (76-XX)
2 Geophysics (86-XX)
1 History and biography (01-XX)
1 \(K\)-theory (19-XX)
1 Functions of a complex variable (30-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Differential geometry (53-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Quantum theory (81-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year