Edit Profile Rasmussen, Martin Compute Distance To: Compute Author ID: rasmussen.martin Published as: Rasmussen, M.; Rasmussen, Martin External Links: MGP · Wikidata Documents Indexed: 40 Publications since 2005, including 2 Books Reviewing Activity: 40 Reviews all top 5 Co-Authors 9 single-authored 8 Pötzsche, Christian 6 Lamb, Jeroen S. W. 5 Kloeden, Peter Eris 4 Doan, Thai Son 4 Giesl, Peter 3 Aulbach, Bernd 3 Engel, Maximilian 3 Siegmund, Stefan 3 Webster, Kevin N. 2 Colonius, Fritz 2 Rieger, Janosch 1 Agusto, Folashade B. 1 Callaway, Mark 1 Chen-Charpentier, Benito M. 1 Cherubini, Anna Maria 1 Eldering, Jaap 1 Hamzi, Boumediene 1 Hastings, Alan 1 Hoffman, Forrest M. 1 Hüls, Thorsten 1 Jiang, Jiang 1 Kühn, Christian 1 Luo, Yiqi 1 Malavolta, Giuseppe 1 Palmer, Kenneth James 1 Pereira, Tiago Leite 1 Rodrigues, Christian S. 1 Sato, Yuzuru 1 Smith, Matthew J. 1 Todd-Brown, Katherine E. O. 1 Veneziani, Alexei M. 1 Wang, Ying-Ping 1 Wang, Ying all top 5 Serials 3 Nonlinearity 3 Journal of Difference Equations and Applications 2 Journal of Mathematical Analysis and Applications 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Journal of Dynamics and Differential Equations 2 Discrete and Continuous Dynamical Systems. Series B 1 Communications in Mathematical Physics 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Biology 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Set-Valued Analysis 1 Discrete and Continuous Dynamical Systems 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Stochastics and Dynamics 1 Communications on Pure and Applied Analysis 1 Lecture Notes in Mathematics 1 Mathematical Surveys and Monographs 1 Journal of Computational Dynamics all top 5 Fields 33 Dynamical systems and ergodic theory (37-XX) 22 Ordinary differential equations (34-XX) 10 Difference and functional equations (39-XX) 4 Numerical analysis (65-XX) 3 Probability theory and stochastic processes (60-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 35 Publications have been cited 352 times in 244 Documents Cited by ▼ Year ▼ Nonautonomous dynamical systems. Zbl 1244.37001Kloeden, Peter E.; Rasmussen, Martin 116 2011 Attractivity and bifurcation for nonautonomous dynamical systems. Zbl 1131.37001Rasmussen, Martin 38 2007 Discrete-time nonautonomous dynamical systems. Zbl 1310.37011Kloeden, P. E.; Pötzsche, C.; Rasmussen, M. 17 2013 Morse decompositions of nonautonomous dynamical systems. Zbl 1116.37013Rasmussen, Martin 12 2007 Limitations of pullback attractors for processes. Zbl 1241.39004Kloeden, Peter E.; Pötzsche, Christian; Rasmussen, Martin 11 2012 Approximation of attractors of nonautonomous dynamical systems. Zbl 1076.37011Aulbach, Bernd; Rasmussen, Martin; Siegmund, Stefan 11 2005 Towards a theory for diffusive coupling functions allowing persistent synchronization. Zbl 1288.34046Pereira, Tiago; Eldering, Jaap; Rasmussen, Martin; Veneziani, Alexei 10 2014 Nonautonomous bifurcation patterns for one-dimensional differential equations. Zbl 1125.34032Rasmussen, Martin 10 2007 Taylor approximation of integral manifolds. Zbl 1106.34029Pötzsche, Christian; Rasmussen, Martin 10 2006 The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise. Zbl 1383.37037Callaway, Mark; Doan, Thai Son; Lamb, Jeroen S. W.; Rasmussen, Martin 8 2017 Computation of nonautonomous invariant and inertial manifolds. Zbl 1169.65116Pötzsche, Christian; Rasmussen, Martin 8 2009 Dichotomy spectra and Morse decompositions of linear nonautonomous differential equations. Zbl 1177.34070Rasmussen, Martin 8 2009 All-time Morse decompositions of linear nonautonomous dynamical systems. Zbl 1128.37012Rasmussen, Martin 8 2008 Taylor approximation of invariant fiber bundles for nonautonomous difference equations. Zbl 1070.39023Pötzsche, Christian; Rasmussen, Martin 8 2005 A random dynamical systems perspective on stochastic resonance. Zbl 1379.37097Cherubini, Anna Maria; Lamb, Jeroen S. W.; Rasmussen, Martin; Sato, Yuzuru 7 2017 The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor. Zbl 1366.37122Doan, Thai Son; Rasmussen, Martin; Kloeden, Peter E. 7 2015 Areas of attraction for nonautonomous differential equations on finite time intervals. Zbl 1239.34058Giesl, Peter; Rasmussen, Martin 7 2012 Finite-time attractivity and bifurcation for nonautonomous differential equations. Zbl 1213.34070Rasmussen, Martin 7 2010 Towards a bifurcation theory for nonautonomous difference equations. Zbl 1136.37314Rasmussen, Martin 7 2006 Topological bifurcations of minimal invariant sets for set-valued dynamical systems. Zbl 1359.37118Lamb, Jeroen S. W.; Rasmussen, Martin; Rodrigues, Christian S. 5 2015 Computation of integral manifolds for Carathéodory differential equations. Zbl 1201.65218Pötzsche, Christian; Rasmussen, Martin 5 2010 Invariant manifolds as pullback attractors of nonautonomous differential equations. Zbl 1286.34068Aulbach, Bernd.; Rasmussen, Martin; Siegmund, Stefan 4 2006 Bifurcation analysis of a stochastically driven limit cycle. Zbl 1414.37027Engel, Maximilian; Lamb, Jeroen S. W.; Rasmussen, Martin 3 2019 Hopf bifurcation with additive noise. Zbl 1396.37062Doan, Thai Son; Engel, Maximilian; Lamb, Jeroen S. W.; Rasmussen, Martin 3 2018 Transit times and mean ages for nonautonomous and autonomous compartmental systems. Zbl 1358.34019Rasmussen, Martin; Hastings, Alan; Smith, Matthew J.; Agusto, Folashade B.; Chen-Charpentier, Benito M.; Hoffman, Forrest M.; Jiang, Jiang; Todd-Brown, Katherine E. O.; Wang, Ying; Wang, Ying-Ping; Luo, Yiqi 3 2016 An alternative approach to Sacker-Sell spectral theory. Zbl 1222.39010Rasmussen, Martin 3 2010 Morse spectrum for nonautonomous differential equations. Zbl 1152.37012Colonius, Fritz; Kloeden, Peter E.; Rasmussen, Martin 3 2008 Invariant manifolds as pullback attractors of nonautonomous difference equations. Zbl 1125.37009Aulbach, Bernd; Rasmussen, Martin; Siegmund, Stefan 3 2005 The Bohl spectrum for linear nonautonomous differential equations. Zbl 1383.34019Doan, Thai Son; Palmer, Kenneth J.; Rasmussen, Martin 2 2017 A note on almost periodic variational equations. Zbl 1233.34015Giesl, Peter; Rasmussen, Martin 2 2011 Borg’s criterion for almost periodic differential equations. Zbl 1166.34023Giesl, Peter; Rasmussen, Martin 2 2008 Early-warning signals for bifurcations in random dynamical systems with bounded noise. Zbl 1386.37051Kuehn, Christian; Malavolta, Giuseppe; Rasmussen, Martin 1 2018 Connecting orbits in perturbed systems. Zbl 1189.70096Colonius, Fritz; Hüls, Thorsten; Rasmussen, Martin 1 2010 Bifurcations of asymptotically autonomous differential equations. Zbl 1175.34051Rasmussen, Martin 1 2008 Local approximation of invariant fiber bundles: an algorithmic approach. Zbl 1094.65128Pötzsche, Christian; Rasmussen, Martin 1 2005 Bifurcation analysis of a stochastically driven limit cycle. Zbl 1414.37027Engel, Maximilian; Lamb, Jeroen S. W.; Rasmussen, Martin 3 2019 Hopf bifurcation with additive noise. Zbl 1396.37062Doan, Thai Son; Engel, Maximilian; Lamb, Jeroen S. W.; Rasmussen, Martin 3 2018 Early-warning signals for bifurcations in random dynamical systems with bounded noise. Zbl 1386.37051Kuehn, Christian; Malavolta, Giuseppe; Rasmussen, Martin 1 2018 The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise. Zbl 1383.37037Callaway, Mark; Doan, Thai Son; Lamb, Jeroen S. W.; Rasmussen, Martin 8 2017 A random dynamical systems perspective on stochastic resonance. Zbl 1379.37097Cherubini, Anna Maria; Lamb, Jeroen S. W.; Rasmussen, Martin; Sato, Yuzuru 7 2017 The Bohl spectrum for linear nonautonomous differential equations. Zbl 1383.34019Doan, Thai Son; Palmer, Kenneth J.; Rasmussen, Martin 2 2017 Transit times and mean ages for nonautonomous and autonomous compartmental systems. Zbl 1358.34019Rasmussen, Martin; Hastings, Alan; Smith, Matthew J.; Agusto, Folashade B.; Chen-Charpentier, Benito M.; Hoffman, Forrest M.; Jiang, Jiang; Todd-Brown, Katherine E. O.; Wang, Ying; Wang, Ying-Ping; Luo, Yiqi 3 2016 The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor. Zbl 1366.37122Doan, Thai Son; Rasmussen, Martin; Kloeden, Peter E. 7 2015 Topological bifurcations of minimal invariant sets for set-valued dynamical systems. Zbl 1359.37118Lamb, Jeroen S. W.; Rasmussen, Martin; Rodrigues, Christian S. 5 2015 Towards a theory for diffusive coupling functions allowing persistent synchronization. Zbl 1288.34046Pereira, Tiago; Eldering, Jaap; Rasmussen, Martin; Veneziani, Alexei 10 2014 Discrete-time nonautonomous dynamical systems. Zbl 1310.37011Kloeden, P. E.; Pötzsche, C.; Rasmussen, M. 17 2013 Limitations of pullback attractors for processes. Zbl 1241.39004Kloeden, Peter E.; Pötzsche, Christian; Rasmussen, Martin 11 2012 Areas of attraction for nonautonomous differential equations on finite time intervals. Zbl 1239.34058Giesl, Peter; Rasmussen, Martin 7 2012 Nonautonomous dynamical systems. Zbl 1244.37001Kloeden, Peter E.; Rasmussen, Martin 116 2011 A note on almost periodic variational equations. Zbl 1233.34015Giesl, Peter; Rasmussen, Martin 2 2011 Finite-time attractivity and bifurcation for nonautonomous differential equations. Zbl 1213.34070Rasmussen, Martin 7 2010 Computation of integral manifolds for Carathéodory differential equations. Zbl 1201.65218Pötzsche, Christian; Rasmussen, Martin 5 2010 An alternative approach to Sacker-Sell spectral theory. Zbl 1222.39010Rasmussen, Martin 3 2010 Connecting orbits in perturbed systems. Zbl 1189.70096Colonius, Fritz; Hüls, Thorsten; Rasmussen, Martin 1 2010 Computation of nonautonomous invariant and inertial manifolds. Zbl 1169.65116Pötzsche, Christian; Rasmussen, Martin 8 2009 Dichotomy spectra and Morse decompositions of linear nonautonomous differential equations. Zbl 1177.34070Rasmussen, Martin 8 2009 All-time Morse decompositions of linear nonautonomous dynamical systems. Zbl 1128.37012Rasmussen, Martin 8 2008 Morse spectrum for nonautonomous differential equations. Zbl 1152.37012Colonius, Fritz; Kloeden, Peter E.; Rasmussen, Martin 3 2008 Borg’s criterion for almost periodic differential equations. Zbl 1166.34023Giesl, Peter; Rasmussen, Martin 2 2008 Bifurcations of asymptotically autonomous differential equations. Zbl 1175.34051Rasmussen, Martin 1 2008 Attractivity and bifurcation for nonautonomous dynamical systems. Zbl 1131.37001Rasmussen, Martin 38 2007 Morse decompositions of nonautonomous dynamical systems. Zbl 1116.37013Rasmussen, Martin 12 2007 Nonautonomous bifurcation patterns for one-dimensional differential equations. Zbl 1125.34032Rasmussen, Martin 10 2007 Taylor approximation of integral manifolds. Zbl 1106.34029Pötzsche, Christian; Rasmussen, Martin 10 2006 Towards a bifurcation theory for nonautonomous difference equations. Zbl 1136.37314Rasmussen, Martin 7 2006 Invariant manifolds as pullback attractors of nonautonomous differential equations. Zbl 1286.34068Aulbach, Bernd.; Rasmussen, Martin; Siegmund, Stefan 4 2006 Approximation of attractors of nonautonomous dynamical systems. Zbl 1076.37011Aulbach, Bernd; Rasmussen, Martin; Siegmund, Stefan 11 2005 Taylor approximation of invariant fiber bundles for nonautonomous difference equations. Zbl 1070.39023Pötzsche, Christian; Rasmussen, Martin 8 2005 Invariant manifolds as pullback attractors of nonautonomous difference equations. Zbl 1125.37009Aulbach, Bernd; Rasmussen, Martin; Siegmund, Stefan 3 2005 Local approximation of invariant fiber bundles: an algorithmic approach. Zbl 1094.65128Pötzsche, Christian; Rasmussen, Martin 1 2005 all cited Publications top 5 cited Publications all top 5 Cited by 300 Authors 31 Kloeden, Peter Eris 21 Rasmussen, Martin 17 Caraballo Garrido, Tomás 14 Langa, Jose’ Antonio 12 Pötzsche, Christian 11 Li, Yangrong 10 Han, Xiaoying 8 Cui, Hongyong 8 Doan, Thai Son 8 Hüls, Thorsten 8 Wang, Bixiang 7 Nolasco de Carvalho, Alexandre 6 Giesl, Peter 6 Lorenz, Thomas 6 Pereira, Tiago Leite 6 Siegmund, Stefan 6 Yang, Meihua 6 Yin, Jinyan 5 Colucci, Renato 5 She, Lianbing 4 Bortolan, Matheus Cheque 4 Castañeda, Alvaro 4 Duan, Jinqiao 4 Kühn, Christian 4 Lamb, Jeroen S. W. 4 Li, Desheng 4 Obaya, Rafael 4 Robledo, Gonzalo 4 Souza, Josiney A. 4 Sun, Chunyou 4 Tan, Wen 4 Wang, Yejuan 3 Braga Barros, Carlos José 3 Engel, Maximilian 3 Feng, Chunrong 3 Freitas, Mirelson M. 3 Gu, Anhui 3 Roberts, Anthony John 3 Wang, Renhai 3 Zhao, Huaizhong 2 Anguiano, María 2 Balasuriya, Sanjeeva 2 Bick, Christian 2 Chekroun, Mickaël D. 2 Chen, Guanrong 2 Church, Kevin E. M. 2 Dijkstra, Henk A. 2 Girod, Alina 2 Guzik, Grzegorz 2 Hafstein, Sigurður Freyr 2 Huang, Jianhua 2 Ju, Xuewei 2 Kalita, Piotr 2 Ke, Tran Dinh 2 Krause, Andrew L. 2 Liu, Xinzhi 2 Longo, Iacopo P. 2 Macau, Elbert E. N. 2 Maia, Daniel M. N. 2 Manjunath, G. 2 Marín-Rubio, Pedro 2 Morales, Carlos Arnoldo 2 Novo, Sylvia 2 Pade, Jan Philipp 2 Poignard, Camille 2 Rieger, Janosch 2 Robinson, James Cooper 2 Shi, Yuming 2 Simsen, Jacson 2 Son, Doan Thai 2 Steyer, Andrew J. 2 Tantet, Alexis 2 Van Vleck, Erik S. 2 Zhang, Zhen 1 Akhmet, Marat Ubaydulla 1 Alkhayuon, Hassan M. 1 Alves, João Ferreira 1 Amigó, José María 1 Aragão-Costa, Eder R. 1 Arnaudon, Alexis 1 Asai, Yusuke 1 Ashwin, Peter 1 Balibrea-Iniesta, Francisco 1 Berger, Arno 1 Bianchi, Luigi Amedeo 1 Blömker, Dirk 1 Blumenthal, Alex 1 Bonckaert, Patrick 1 Bonotto, Everaldo M. 1 Bunder, J. E. 1 Callaway, Mark 1 Canadell, Marta 1 Cao, Daomin 1 Cao, Meng 1 Carelli, Pedro V. 1 Carvalho, Maria Conceição 1 Castillo, Jorge A. 1 Chen, Li 1 Chen, Xiaoli 1 Cheskidov, Alexey ...and 200 more Authors all top 5 Cited in 79 Serials 25 Journal of Differential Equations 23 Discrete and Continuous Dynamical Systems. Series B 15 Journal of Mathematical Analysis and Applications 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 Journal of Difference Equations and Applications 9 Discrete and Continuous Dynamical Systems 7 Journal of Dynamics and Differential Equations 6 Communications on Pure and Applied Analysis 5 Journal of Statistical Physics 5 Nonlinearity 5 Stochastics and Dynamics 4 Physica D 4 Journal of Nonlinear Science 4 Nonlinear Analysis. Real World Applications 4 SIAM Journal on Applied Dynamical Systems 4 Discrete and Continuous Dynamical Systems. Series S 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Computation 3 Proceedings of the American Mathematical Society 3 Abstract and Applied Analysis 3 Chaos 3 Discrete Dynamics in Nature and Society 3 Set-Valued and Variational Analysis 2 Mathematical Methods in the Applied Sciences 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 Transactions of the American Mathematical Society 2 Stochastic Analysis and Applications 2 Neural Computation 2 Differential Equations and Dynamical Systems 2 Nonlinear Dynamics 2 Advances in Difference Equations 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 International Journal of Control 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Physics Reports 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 BIT 1 Fuzzy Sets and Systems 1 Integral Equations and Operator Theory 1 Journal of the Korean Mathematical Society 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Ergodic Theory and Dynamical Systems 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Forum Mathematicum 1 Glasnik Matematički. Serija III 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 SIAM Journal on Scientific Computing 1 Set-Valued Analysis 1 Mathematical Problems in Engineering 1 Fractional Calculus & Applied Analysis 1 Revista Matemática Complutense 1 Journal of Dynamical and Control Systems 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Entropy 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Central European Journal of Mathematics 1 International Journal of Computational Methods 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China 1 Mathematical Geosciences 1 International Journal of Differential Equations 1 The Journal of Mathematical Neuroscience 1 Journal of Computational Dynamics 1 Journal of Operators 1 Results in Applied Mathematics all top 5 Cited in 26 Fields 167 Dynamical systems and ergodic theory (37-XX) 90 Ordinary differential equations (34-XX) 69 Partial differential equations (35-XX) 31 Probability theory and stochastic processes (60-XX) 26 Biology and other natural sciences (92-XX) 23 Numerical analysis (65-XX) 21 Difference and functional equations (39-XX) 11 Operator theory (47-XX) 9 Systems theory; control (93-XX) 7 Fluid mechanics (76-XX) 6 Mechanics of particles and systems (70-XX) 4 General topology (54-XX) 3 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.