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Martin Rasmussen
Martin Rasmussen
Verified email at imperial.ac.uk
Title
Cited by
Cited by
Year
Nonautonomous Dynamical Systems
PE Kloeden, M Rasmussen
American Mathematical Soc., 2011
7242011
Attractivity and bifurcation for nonautonomous dynamical systems
M Rasmussen
Springer, 2007
1482007
Oscillatory behavior of two nonlinear microbial models of soil carbon decomposition
YP Wang, BC Chen, WR Wieder, M Leite, BE Medlyn, M Rasmussen, ...
Biogeosciences 11 (7), 1817-1831, 2014
882014
Transient dynamics of terrestrial carbon storage: mathematical foundation and its applications
Y Luo, Z Shi, X Lu, J Xia, J Liang, J Jiang, Y Wang, MJ Smith, L Jiang, ...
Biogeosciences 14 (1), 145, 2017
772017
Towards a theory for diffusive coupling functions allowing persistent synchronization
T Pereira, J Eldering, M Rasmussen, A Veneziani
Nonlinearity 27 (3), 501, 2014
652014
Taylor approximation of integral manifolds
C Pötzsche, M Rasmussen
Journal of Dynamics and Differential Equations 18, 427-460, 2006
602006
Transit times and mean ages for nonautonomous and autonomous compartmental systems
M Rasmussen, A Hastings, MJ Smith, FB Agusto, BM Chen-Charpentier, ...
Journal of Mathematical Biology 73, 1379-1398, 2016
512016
Approximation of Lyapunov Functions from Noisy Data
P Giesl, B Hamzi, M Rasmussen, KN Webster
arXiv preprint arXiv:1601.01568, 2016
502016
Hopf bifurcation with additive noise
TS Doan, M Engel, JSW Lamb, M Rasmussen
Nonlinearity 31 (10), 4567, 2018
422018
Approximation of attractors of nonautonomous dynamical systems
B Aulbach, M Rasmussen, S Siegmund
Discrete Contin. Dyn. Syst. Ser. B 5 (2), 215-238, 2005
392005
Morse decompositions of nonautonomous dynamical systems
M Rasmussen
Transactions of the American Mathematical Society 359 (10), 5091-5115, 2007
382007
Limitations of pullback attractors for processes
PE Kloeden, C Pötzsche, M Rasmussen
Journal of Difference Equations and Applications 18 (4), 693-701, 2012
372012
The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise
M Callaway, TS Doan, JSW Lamb, M Rasmussen
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 53 (4 …, 2017
362017
Finite-time attractivity and bifurcation for nonautonomous differential equations
M Rasmussen
Differential Equations and Dynamical Systems 18 (1-2), 57-78, 2010
362010
A random dynamical systems perspective on stochastic resonance
AM Cherubini, JSW Lamb, M Rasmussen, Y Sato
Nonlinearity 30 (7), 2835, 2017
322017
Responses of two nonlinear microbial models to warming and increased carbon input
YP Wang, J Jiang, B Chen-Charpentier, FB Agusto, A Hastings, ...
Biogeosciences 13 (4), 887, 2016
322016
Topological bifurcations of minimal invariant sets for set-valued dynamical systems
J Lamb, M Rasmussen, C Rodrigues
Proceedings of the American Mathematical Society 143 (9), 3927-3937, 2015
322015
Towards a bifurcation theory for nonautonomous difference equations
M Rasmussen
Journal of Difference Equations and Applications 12 (3-4), 297-312, 2006
312006
Nonautonomous bifurcation patterns for one-dimensional differential equations
M Rasmussen
Journal of Differential Equations 234 (1), 267-288, 2007
302007
Bifurcation analysis of a stochastically driven limit cycle
M Engel, JSW Lamb, M Rasmussen
Communications in Mathematical Physics 365, 935-942, 2019
292019
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