Edit Profile (opens in new tab) Pötzsche, Christian Co-Author Distance Author ID: potzsche.christian Published as: Pötzsche, Christian; Pötzsche, C.; Pötzsche, Ch.; Poetzsche, Christian more...less 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 634 times in 421 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 Topological decoupling, linearization and perturbation on inhomogeneous time scales. Zbl 1190.34120 Pötzsche, Christian 18 2008 Fine structure of the dichotomy spectrum. Zbl 1483.47011 Pötzsche, Christian 18 2012 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 continuation of bounded solutions. Zbl 1237.39005 Pötzsche, Christian 17 2011 Slow fiber bundles of dynamic equations on measure chains. (Langsame Faserbündel dynamischer Gleichungen auf Maßketten.) Zbl 1198.37024 Pötzsche, Christian 15 2002 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 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 Asymptotic behavior of recursions via fixed point theory. Zbl 1138.39007 Ey, Kristine; Pötzsche, Christian 10 2008 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 Bet-hedging in stochastically switching environments. Zbl 1411.92219 Müller, Johannes; Hense, Burkhard A.; Fuchs, Thilo M.; Utz, M.; Pötzsche, Christian 9 2013 \(C^m\)-smoothness of invariant fiber bundles. Zbl 1075.39014 Pötzsche, Christian; Siegmund, Stefan 9 2004 Taylor approximation of invariant fiber bundles for nonautonomous difference equations. Zbl 1070.39023 Pötzsche, Christian; Rasmussen, Martin 9 2005 Bifurcations in nonautonomous dynamical systems: results and tools in discrete time. Zbl 1242.39026 Pötzsche, Christian 9 2011 Reducibility of linear dynamic equations on measure chains. Zbl 1032.39008 Aulbach, Bernd; Pötzsche, Christian 8 2002 Qualitative analysis of a nonautonomous Beverton-Holt Ricker model. Zbl 1326.37017 Hüls, Thorsten; Pötzsche, Christian 8 2014 PBC-based pulse stabilization of periodic orbits. Zbl 1286.39008 Liz, Eduardo; Pötzsche, Christian 8 2014 Numerical dynamics of integrodifference equations: basics and discretization errors in a \(C^0\)-setting. Zbl 1429.65322 Pötzsche, Christian 8 2019 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 Integral manifolds under explicit variable time-step discretization. Zbl 1104.34037 Keller, Stefan; Pötzsche, Christian 5 2006 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 Numerical dynamics of integrodifference equations: global attractivity in a \(C^0\)-setting. Zbl 1429.45004 Poetzsche, Christian 5 2019 Modeling the spread of Phytophthora. Zbl 1271.92036 Henkel, A.; Müller, J.; Pötzsche, C. 4 2012 Nonautonomous dynamical systems in the life sciences. Zbl 1282.37004 4 2013 Slow and fast variables in non-autonomous difference equations. Zbl 1044.39011 Pötzsche, Christian 4 2003 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 Extended hierarchies of invariant fiber bundles for dynamic equations on measure chains. Zbl 1213.37048 Pötzsche, Christian 3 2010 Dynamics of modified predator-prey models. Zbl 1202.34086 Kloeden, P. E.; Pötzsche, C. 3 2010 Invariant foliations and stability in critical cases. Zbl 1139.39034 Pötzsche, Christian 3 2006 A functional-analytical approach to the asymptotics of recursions. Zbl 1180.39019 Pötzsche, Christian 3 2009 Morse decompositions for delay-difference equations. Zbl 1414.39002 Garab, Ábel; 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 Global continuation of homoclinic solutions. Zbl 1420.37010 Pötzsche, Christian; Skiba, Robert 3 2018 Smooth roughness of exponential dichotomies, revisited. Zbl 1334.39021 Pötzsche, Christian 3 2015 Forward and pullback dynamics of nonautonomous integrodifference equations: basic constructions. Zbl 1495.37025 Huynh, Huy; Kloeden, Peter E.; Pötzsche, Christian 3 2022 Ergodicity in nonautonomous linear ordinary differential equations. Zbl 1417.37051 Pituk, Mihály; Pötzsche, Christian 3 2019 Corrigendum on: “A note on the dichotomy spectrum”. Zbl 1257.39016 Pötzsche, Christian 2 2012 Attractive invariant fiber bundles. Zbl 1127.37023 Pötzsche, Christian 2 2007 Persistence and imperfection of nonautonomous bifurcation patterns. Zbl 1218.37035 Pötzsche, Christian 2 2011 Stability of center fiber bundles for nonautonomous difference equations. Zbl 1074.37018 Pötzsche, Christian 2 2004 Delay equations on measure chains: basics and linearized stability. Zbl 1117.39324 Pötzsche, Christian 2 2005 Uniform convergence of Nyström discretization on Hölder spaces. Zbl 1498.45015 Pötzsche, Christian 2 2022 Robustness of hyperbolic solutions under parametric perturbations. Zbl 1207.39017 Pötzsche, Christian 2 2009 Pseudo-stable and pseudo-unstable fiber bundles for dynamic equations on measure chains. Zbl 1046.39011 Pötzsche, Christian 2 2003 Bifurcations in periodic integrodifference equations in \(C(\Omega)\): II. Discrete torus bifurcations. Zbl 1441.39011 Aarset, Christian; Pötzsche, Christian 2 2020 Nonautonomous bifurcation theory. Concepts and tools. Zbl 1530.37003 Anagnostopoulou, Vasso; Pötzsche, Christian; Rasmussen, Martin 2 2023 Urysohn and Hammerstein operators on Hölder spaces. Zbl 1511.47063 Pötzsche, Christian 2 2022 Monotonicity and discretization of Urysohn integral operators. Zbl 07428138 Nockowska-Rosiak, Magdalena; Pötzsche, Christian 2 2022 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 Dissipative delay endomorphisms and asymptotic equivalence. Zbl 1182.39009 Pötzsche, Christian 1 2009 Discrete inertial manifolds. Zbl 1146.39030 Pötzsche, Christian 1 2008 Local approximation of invariant fiber bundles: an algorithmic approach. Zbl 1094.65128 Pötzsche, Christian; Rasmussen, Martin 1 2005 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 Dichotomy spectra of nonautonomous linear integrodifference equations. Zbl 1382.45002 Pötzsche, Christian 1 2017 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 A continuation principle for Fredholm maps. I: Theory and basics. Zbl 1523.37030 Pötzsche, Christian; Skiba, Robert 1 2020 Ergodicity beyond asymptotically autonomous linear difference equations. Zbl 1409.39005 Pituk, Mihály; Pötzsche, Christian 1 2018 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 Nonautonomous bifurcation theory. Concepts and tools. Zbl 1530.37003 Anagnostopoulou, Vasso; Pötzsche, Christian; Rasmussen, Martin 2 2023 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 Forward and pullback dynamics of nonautonomous integrodifference equations: basic constructions. Zbl 1495.37025 Huynh, Huy; Kloeden, Peter E.; Pötzsche, Christian 3 2022 Uniform convergence of Nyström discretization on Hölder spaces. Zbl 1498.45015 Pötzsche, Christian 2 2022 Urysohn and Hammerstein operators on Hölder spaces. Zbl 1511.47063 Pötzsche, Christian 2 2022 Monotonicity and discretization of Urysohn integral operators. Zbl 07428138 Nockowska-Rosiak, Magdalena; 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 Qualitative analysis of a nonautonomous Beverton-Holt Ricker model. Zbl 1326.37017 Hüls, Thorsten; Pötzsche, Christian 8 2014 PBC-based pulse stabilization of periodic orbits. Zbl 1286.39008 Liz, Eduardo; 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 4 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 Extended hierarchies of invariant fiber bundles for dynamic equations on measure chains. Zbl 1213.37048 Pötzsche, Christian 3 2010 Dynamics of modified predator-prey models. Zbl 1202.34086 Kloeden, P. E.; Pötzsche, C. 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 528 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 428 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 182 Ordinary differential equations (34-XX) 177 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) 44 Operator theory (47-XX) 42 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