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Tiago Pereira
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Dongchen Li
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Bernat Bassols-Cornudella
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Michal Fedorowicz
David Fox
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Amir Khodaeian Karim
Victoria Klein
Chek Lau
Ziyu Li
Tianyi Liu
Dmitrii Mints
Leon Staresinic
Giuseppe Tenaglia
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RELATED STAFF
Mauricio Barahona
Davoud Cheraghi
Martin Hairer
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Xue-Mei Li
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PUBLICATIONS




Complete List

BY SUBJECT
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Nonautonomous dynamical systems

Preprints
  • Lea Oljaca, Peter Ashwin, and Martin Rasmussen, Measure and statistical attractors for nonautonomous dynamical systems. DynamIC Preprint 2022-3
  • Flavia Remo, Gabriel Fuhrmann, and Tobias Jäger, On the effect of forcing of fold bifurcations and early-warning signals in population dynamics. DynamIC Preprint 2019-6
  • Matthieu Astorg and Fabrizio Bianchi, Bifurcations in families of polynomial skew products. DynamIC Preprint 2018-1
  • Alexander M. Henderson, Eric J. Olson, James C. Robinson, and Nicholas Sharples, Equi-homogeneity, Assouad dimension and non-autonomous dynamics. DynamIC Preprint 2014-7
2023
  • George Chappelle, Alan Hastings, and Martin Rasmussen, Pool dynamics of time-dependent compartmental systems with application to the terrestrial carbon cycle, Journal of the Royal Society Interface 20(2023), 20220843. Article
2022
  • George Chappelle, Alan Hastings, and Martin Rasmussen, Occupancy times for time-dependent stage-structured models, Journal of Mathematical Biology 84, 3 (2022), Paper No. 16, 17. Article MathSciNet Preprint
2021
  • Iacopo P. Longo, Carmen Núñez, Rafael Obaya, and Martin Rasmussen, Rate-induced tipping and saddle-node bifurcation for quadratic differential equations with nonautonomous asymptotic dynamics, SIAM Journal on Applied Dynamical Systems 20, 1 (2021), 500−540. Article MathSciNet Preprint
  • Moussa Ndour, Kathrin Padberg-Gehle, and Martin Rasmussen, Spectral early-warning signals for sudden changes in time-dependent flow patterns., Fluids 6(2021), 49. Article Preprint
2020
  • Genadi Levin, Weixiao Shen, and Sebastian van Strien, Positive transversality via transfer operators and holomorphic motions with applications to monotonicity for interval maps, Nonlinearity 33, 8 (2020), 3970−4012. Article MathSciNet
2017
  • Anna Maria Cherubini, Jeroen S. W. Lamb, Martin Rasmussen, and Yuzuru Sato, A random dynamical systems perspective on stochastic resonance, Nonlinearity 30, 7 (2017), 2835−2853. Article MathSciNet Preprint
  • Thai Son Doan, Kenneth J. Palmer, and Martin Rasmussen, The Bohl spectrum for linear nonautonomous differential equations, Journal of Dynamics and Differential Equations 29, 4 (2017), 1459−1485. Article MathSciNet Preprint
2016
  • Martin Rasmussen, Alan Hastings, Matthew J. Smith, Folashade B. Agusto, Benito M. Chen-Charpentier, Forrest M. Hoffman, Jiang Jiang, Katherine E. O. Todd-Brown, Ying Wang, Ying-Ping Wang, and Yiqi Luo, Transit times and mean ages for nonautonomous and autonomous compartmental systems, Journal of Mathematical Biology 73, 6−7 (2016), 1379−1398. Article MathSciNet Preprint
2015
  • Vasso Anagnostopoulou, Tobias Jäger, and Gerhard Keller, A model for the nonautonomous Hopf bifurcation, Nonlinearity 28, 7 (2015), 2587−2616. MathSciNet Preprint
  • Patrick Bonckaert, Peter De Maesschalck, Thai Son Doan, and Stefan Siegmund, Partial linearization for planar nonautonomous differential equations, Journal of Differential Equations 258, 5 (2015), 1618−1652. Article MathSciNet
  • Thai Son Doan, Martin Rasmussen, and Peter E. Kloeden, The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor, Discrete and Continuous Dynamical Systems B 20, 3 (2015), 875−887. Article MathSciNet Preprint
2014
  • Nguyen Dinh Cong, Thai Son Doan, Stefan Siegmund, and Hoang The Tuan, On stable manifolds for planar fractional differential equations, Applied Mathematics and Computation 226(2014), 157−168. Article MathSciNet
  • Tiago Pereira, Jaap Eldering, Martin Rasmussen, and Alexei Veneziani, Towards a theory for diffusive coupling functions allowing persistent synchronization, Nonlinearity 27, 3 (2014), 501−525. Article MathSciNet Preprint
  • Dmitry Turaev, Christopher Warner, and Sergey Zelik, Energy growth for a nonlinear oscillator coupled to a monochromatic wave, Regular and Chaotic Dynamics 19, 4 (2014), 513−522. Article MathSciNet
2013
  • Thai Son Doan, Anke Kalauch, and Stefan Siegmund, A constructive approach to linear Lyapunov functions for positive switched systems using Collatz-Wielandt sets, Institute of Electrical and Electronics Engineers. Transactions on Automatic Control 58, 3 (2013), 748−751. Article MathSciNet
  • Peter E. Kloeden, Christian Pötzsche, and Martin Rasmussen, Discrete-time nonautonomous dynamical systems, in: Stability and bifurcation theory for non-autonomous differential equations, Lecture Notes in Mathematics, 35−102, Springer, Heidelberg, 2013. Article MathSciNet
  • James C. Robinson and Nicholas Sharples, Dimension prints and the avoidance of sets for flow solutions of non-autonomous ordinary differential equations, Journal of Differential Equations 254, 10 (2013), 4144−4167. Article MathSciNet
2012
  • Vasso Anagnostopoulou and Tobias Jäger, Nonautonomous saddle-node bifurcations: random and deterministic forcing, Journal of Differential Equations 253, 2 (2012), 379−399. Article MathSciNet
  • Peter Giesl and Martin Rasmussen, Areas of attraction for nonautonomous differential equations on finite time intervals, Journal of Mathematical Analysis and Applications 390, 1 (2012), 27−46. Article MathSciNet
  • Peter E. Kloeden, Christian Pötzsche, and Martin Rasmussen, Limitations of pullback attractors for processes, Journal of Difference Equations and Applications 18, 4 (2012), 693−701. Article MathSciNet
2011
  • Peter Giesl and Martin Rasmussen, A note on almost periodic variational equations, Communications on Pure and Applied Analysis 10, 3 (2011), 983−994. Article MathSciNet
  • Peter E. Kloeden and Martin Rasmussen, Nonautonomous dynamical systems, Mathematical Surveys and Monographs 176, American Mathematical Society, Providence, RI, 2011. MathSciNet
2010
  • Fritz Colonius, Thorsten Hüls, and Martin Rasmussen, Connecting orbits in perturbed systems, Nonlinear Dynamics 59, 4 (2010), 569−578. Article MathSciNet
  • Christian Pötzsche and Martin Rasmussen, Computation of integral manifolds for Carathéodory differential equations, IMA Journal of Numerical Analysis 30, 2 (2010), 401−430. Article MathSciNet
  • Martin Rasmussen, An alternative approach to Sacker-Sell spectral theory, Journal of Difference Equations and Applications 16, 2−3 (2010), 227−242. Article MathSciNet
  • Martin Rasmussen, Finite-time attractivity and bifurcation for nonautonomous differential equations, Differential Equations and Dynamical Systems 18, 1−2 (2010), 57−78. Article MathSciNet
2009
  • Christian Pötzsche and Martin Rasmussen, Computation of nonautonomous invariant and inertial manifolds, Numerische Mathematik 112, 3 (2009), 449−483. Article MathSciNet
  • Christian Pötzsche and Martin Rasmussen, Hibernation prevents chaos: a logistic case study, in: Difference equations and applications (M. Bohner, Z. Doslá, G. Ladas, M. Ünal, A. Zafer), 259−274, Uğur-Bahçeşehir Univ. Publ. Co., Istanbul, 2009. MathSciNet
  • Martin Rasmussen, Dichotomy spectra and Morse decompositions of linear nonautonomous differential equations, Journal of Differential Equations 246, 6 (2009), 2242−2263. Article MathSciNet
2008
  • Fritz Colonius, Peter E. Kloeden, and Martin Rasmussen, Morse spectrum for nonautonomous differential equations, Stochastics and Dynamics 8, 3 (2008), 351−363. Article MathSciNet
  • Vassili Gelfreich and Dmitry Turaev, Unbounded energy growth in Hamiltonian systems with a slowly varying parameter, Communications in Mathematical Physics 283, 3 (2008), 769−794. Article MathSciNet
  • Peter Giesl and Martin Rasmussen, Borg's criterion for almost periodic differential equations, Nonlinear Analysis. Theory, Methods & Applications 69, 11 (2008), 3722−3733. Article MathSciNet
  • Martin Rasmussen, All-time Morse decompositions of linear nonautonomous dynamical systems, Proceedings of the American Mathematical Society 136, 3 (2008), 1045−1055. Article MathSciNet
  • Martin Rasmussen, Bifurcations of asymptotically autonomous differential equations, Set-Valued Analysis 16, 7−8 (2008), 821−849. Article MathSciNet
2007
  • Martin Rasmussen, Nonautonomous bifurcation patterns for one-dimensional differential equations, Journal of Differential Equations 234, 1 (2007), 267−288. Article MathSciNet
  • Martin Rasmussen, Attractivity and bifurcation for nonautonomous dynamical systems, Lecture Notes in Mathematics 1907, Springer, Berlin, 2007. MathSciNet
  • Martin Rasmussen, Morse decompositions of nonautonomous dynamical systems, Transactions of the American Mathematical Society 359, 10 (2007), 5091−5115. Article MathSciNet
2006
  • Bernd Aulbach, Martin Rasmussen, and Stefan Siegmund, Invariant manifolds as pullback attractors of nonautonomous differential equations, Discrete and Continuous Dynamical Systems A 15, 2 (2006), 579−596. Article MathSciNet
  • Tobias H. Jäger and Jaroslav Stark, Towards a classification for quasiperiodically forced circle homeomorphisms, Journal of the London Mathematical Society 73, 3 (2006), 727−744. Article MathSciNet
  • Christian Pötzsche and Martin Rasmussen, Taylor approximation of integral manifolds, Journal of Dynamics and Differential Equations 18, 2 (2006), 427−460. Article MathSciNet
  • Martin Rasmussen, Towards a bifurcation theory for nonautonomous difference equations, Journal of Difference Equations and Applications 12, 3−4 (2006), 297−312. Article MathSciNet
2005
  • Bernd Aulbach, Martin Rasmussen, and Stefan Siegmund, Approximation of attractors of nonautonomous dynamical systems, Discrete and Continuous Dynamical Systems B 5, 2 (2005), 215−238. Article MathSciNet
  • Bernd Aulbach, Martin Rasmussen, and Stefan Siegmund, Invariant manifolds as pullback attractors of nonautonomous difference equations, in: Proceedings of the Eighth International Conference on Difference Equations and Applications (S. Elaydi, G. Ladas, B. Aulbach, O. Dosly), 23−37, CRC, Boca Raton, 2005. Article MathSciNet
  • Christian Pötzsche and Martin Rasmussen, Taylor approximation of invariant fiber bundles for nonautonomous difference equations, Nonlinear Analysis. Theory, Methods & Applications 60, 7 (2005), 1303−1330. Article MathSciNet
  • Christian Pötzsche and Martin Rasmussen, Local approximation of invariant fiber bundles: an algorithmic approach, in: Difference equations and discrete dynamical systems (L. Allen, B. Aulbach, S. Elaydi, R. Sacker), 155−170, World Scientific, Singapore, 2005. Article MathSciNet
2003
  • Jaroslav Stark, Transitive sets for quasi-periodically forced monotone maps, Dynamical Systems 18, 4 (2003), 351−364. Article MathSciNet