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Rasmussen, Martin

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Author ID: rasmussen.martin Recent zbMATH articles by "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

Publications by Year

Citations contained in zbMATH

35 Publications have been cited 352 times in 244 Documents Cited by Year
Nonautonomous dynamical systems. Zbl 1244.37001
Kloeden, Peter E.; Rasmussen, Martin
116
2011
Attractivity and bifurcation for nonautonomous dynamical systems. Zbl 1131.37001
Rasmussen, Martin
38
2007
Discrete-time nonautonomous dynamical systems. Zbl 1310.37011
Kloeden, P. E.; Pötzsche, C.; Rasmussen, M.
17
2013
Morse decompositions of nonautonomous dynamical systems. Zbl 1116.37013
Rasmussen, Martin
12
2007
Limitations of pullback attractors for processes. Zbl 1241.39004
Kloeden, Peter E.; Pötzsche, Christian; Rasmussen, Martin
11
2012
Approximation of attractors of nonautonomous dynamical systems. Zbl 1076.37011
Aulbach, Bernd; Rasmussen, Martin; Siegmund, Stefan
11
2005
Towards a theory for diffusive coupling functions allowing persistent synchronization. Zbl 1288.34046
Pereira, Tiago; Eldering, Jaap; Rasmussen, Martin; Veneziani, Alexei
10
2014
Nonautonomous bifurcation patterns for one-dimensional differential equations. Zbl 1125.34032
Rasmussen, Martin
10
2007
Taylor approximation of integral manifolds. Zbl 1106.34029
Pötzsche, Christian; Rasmussen, Martin
10
2006
The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise. Zbl 1383.37037
Callaway, Mark; Doan, Thai Son; Lamb, Jeroen S. W.; Rasmussen, Martin
8
2017
Computation of nonautonomous invariant and inertial manifolds. Zbl 1169.65116
Pötzsche, Christian; Rasmussen, Martin
8
2009
Dichotomy spectra and Morse decompositions of linear nonautonomous differential equations. Zbl 1177.34070
Rasmussen, Martin
8
2009
All-time Morse decompositions of linear nonautonomous dynamical systems. Zbl 1128.37012
Rasmussen, Martin
8
2008
Taylor approximation of invariant fiber bundles for nonautonomous difference equations. Zbl 1070.39023
Pötzsche, Christian; Rasmussen, Martin
8
2005
A random dynamical systems perspective on stochastic resonance. Zbl 1379.37097
Cherubini, 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 1366.37122
Doan, Thai Son; Rasmussen, Martin; Kloeden, Peter E.
7
2015
Areas of attraction for nonautonomous differential equations on finite time intervals. Zbl 1239.34058
Giesl, Peter; Rasmussen, Martin
7
2012
Finite-time attractivity and bifurcation for nonautonomous differential equations. Zbl 1213.34070
Rasmussen, Martin
7
2010
Towards a bifurcation theory for nonautonomous difference equations. Zbl 1136.37314
Rasmussen, Martin
7
2006
Topological bifurcations of minimal invariant sets for set-valued dynamical systems. Zbl 1359.37118
Lamb, Jeroen S. W.; Rasmussen, Martin; Rodrigues, Christian S.
5
2015
Computation of integral manifolds for Carathéodory differential equations. Zbl 1201.65218
Pötzsche, Christian; Rasmussen, Martin
5
2010
Invariant manifolds as pullback attractors of nonautonomous differential equations. Zbl 1286.34068
Aulbach, Bernd.; Rasmussen, Martin; Siegmund, Stefan
4
2006
Bifurcation analysis of a stochastically driven limit cycle. Zbl 1414.37027
Engel, Maximilian; Lamb, Jeroen S. W.; Rasmussen, Martin
3
2019
Hopf bifurcation with additive noise. Zbl 1396.37062
Doan, Thai Son; Engel, Maximilian; Lamb, Jeroen S. W.; Rasmussen, Martin
3
2018
Transit times and mean ages for nonautonomous and autonomous compartmental systems. Zbl 1358.34019
Rasmussen, 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 1222.39010
Rasmussen, Martin
3
2010
Morse spectrum for nonautonomous differential equations. Zbl 1152.37012
Colonius, Fritz; Kloeden, Peter E.; Rasmussen, Martin
3
2008
Invariant manifolds as pullback attractors of nonautonomous difference equations. Zbl 1125.37009
Aulbach, Bernd; Rasmussen, Martin; Siegmund, Stefan
3
2005
The Bohl spectrum for linear nonautonomous differential equations. Zbl 1383.34019
Doan, Thai Son; Palmer, Kenneth J.; Rasmussen, Martin
2
2017
A note on almost periodic variational equations. Zbl 1233.34015
Giesl, Peter; Rasmussen, Martin
2
2011
Borg’s criterion for almost periodic differential equations. Zbl 1166.34023
Giesl, Peter; Rasmussen, Martin
2
2008
Early-warning signals for bifurcations in random dynamical systems with bounded noise. Zbl 1386.37051
Kuehn, Christian; Malavolta, Giuseppe; Rasmussen, Martin
1
2018
Connecting orbits in perturbed systems. Zbl 1189.70096
Colonius, Fritz; Hüls, Thorsten; Rasmussen, Martin
1
2010
Bifurcations of asymptotically autonomous differential equations. Zbl 1175.34051
Rasmussen, Martin
1
2008
Local approximation of invariant fiber bundles: an algorithmic approach. Zbl 1094.65128
Pötzsche, Christian; Rasmussen, Martin
1
2005
Bifurcation analysis of a stochastically driven limit cycle. Zbl 1414.37027
Engel, Maximilian; Lamb, Jeroen S. W.; Rasmussen, Martin
3
2019
Hopf bifurcation with additive noise. Zbl 1396.37062
Doan, 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 1386.37051
Kuehn, Christian; Malavolta, Giuseppe; Rasmussen, Martin
1
2018
The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise. Zbl 1383.37037
Callaway, Mark; Doan, Thai Son; Lamb, Jeroen S. W.; Rasmussen, Martin
8
2017
A random dynamical systems perspective on stochastic resonance. Zbl 1379.37097
Cherubini, Anna Maria; Lamb, Jeroen S. W.; Rasmussen, Martin; Sato, Yuzuru
7
2017
The Bohl spectrum for linear nonautonomous differential equations. Zbl 1383.34019
Doan, Thai Son; Palmer, Kenneth J.; Rasmussen, Martin
2
2017
Transit times and mean ages for nonautonomous and autonomous compartmental systems. Zbl 1358.34019
Rasmussen, 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 1366.37122
Doan, Thai Son; Rasmussen, Martin; Kloeden, Peter E.
7
2015
Topological bifurcations of minimal invariant sets for set-valued dynamical systems. Zbl 1359.37118
Lamb, Jeroen S. W.; Rasmussen, Martin; Rodrigues, Christian S.
5
2015
Towards a theory for diffusive coupling functions allowing persistent synchronization. Zbl 1288.34046
Pereira, Tiago; Eldering, Jaap; Rasmussen, Martin; Veneziani, Alexei
10
2014
Discrete-time nonautonomous dynamical systems. Zbl 1310.37011
Kloeden, P. E.; Pötzsche, C.; Rasmussen, M.
17
2013
Limitations of pullback attractors for processes. Zbl 1241.39004
Kloeden, Peter E.; Pötzsche, Christian; Rasmussen, Martin
11
2012
Areas of attraction for nonautonomous differential equations on finite time intervals. Zbl 1239.34058
Giesl, Peter; Rasmussen, Martin
7
2012
Nonautonomous dynamical systems. Zbl 1244.37001
Kloeden, Peter E.; Rasmussen, Martin
116
2011
A note on almost periodic variational equations. Zbl 1233.34015
Giesl, Peter; Rasmussen, Martin
2
2011
Finite-time attractivity and bifurcation for nonautonomous differential equations. Zbl 1213.34070
Rasmussen, Martin
7
2010
Computation of integral manifolds for Carathéodory differential equations. Zbl 1201.65218
Pötzsche, Christian; Rasmussen, Martin
5
2010
An alternative approach to Sacker-Sell spectral theory. Zbl 1222.39010
Rasmussen, Martin
3
2010
Connecting orbits in perturbed systems. Zbl 1189.70096
Colonius, Fritz; Hüls, Thorsten; Rasmussen, Martin
1
2010
Computation of nonautonomous invariant and inertial manifolds. Zbl 1169.65116
Pötzsche, Christian; Rasmussen, Martin
8
2009
Dichotomy spectra and Morse decompositions of linear nonautonomous differential equations. Zbl 1177.34070
Rasmussen, Martin
8
2009
All-time Morse decompositions of linear nonautonomous dynamical systems. Zbl 1128.37012
Rasmussen, Martin
8
2008
Morse spectrum for nonautonomous differential equations. Zbl 1152.37012
Colonius, Fritz; Kloeden, Peter E.; Rasmussen, Martin
3
2008
Borg’s criterion for almost periodic differential equations. Zbl 1166.34023
Giesl, Peter; Rasmussen, Martin
2
2008
Bifurcations of asymptotically autonomous differential equations. Zbl 1175.34051
Rasmussen, Martin
1
2008
Attractivity and bifurcation for nonautonomous dynamical systems. Zbl 1131.37001
Rasmussen, Martin
38
2007
Morse decompositions of nonautonomous dynamical systems. Zbl 1116.37013
Rasmussen, Martin
12
2007
Nonautonomous bifurcation patterns for one-dimensional differential equations. Zbl 1125.34032
Rasmussen, Martin
10
2007
Taylor approximation of integral manifolds. Zbl 1106.34029
Pötzsche, Christian; Rasmussen, Martin
10
2006
Towards a bifurcation theory for nonautonomous difference equations. Zbl 1136.37314
Rasmussen, Martin
7
2006
Invariant manifolds as pullback attractors of nonautonomous differential equations. Zbl 1286.34068
Aulbach, Bernd.; Rasmussen, Martin; Siegmund, Stefan
4
2006
Approximation of attractors of nonautonomous dynamical systems. Zbl 1076.37011
Aulbach, Bernd; Rasmussen, Martin; Siegmund, Stefan
11
2005
Taylor approximation of invariant fiber bundles for nonautonomous difference equations. Zbl 1070.39023
Pötzsche, Christian; Rasmussen, Martin
8
2005
Invariant manifolds as pullback attractors of nonautonomous difference equations. Zbl 1125.37009
Aulbach, Bernd; Rasmussen, Martin; Siegmund, Stefan
3
2005
Local approximation of invariant fiber bundles: an algorithmic approach. Zbl 1094.65128
Pötzsche, Christian; Rasmussen, Martin
1
2005
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

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