Topological bifurcations of minimal invariant sets for set-valued dynamical systems

DOI10.1090/S0002-9939-2015-12544-0zbMath1359.37118arXiv1105.5018OpenAlexW1984944129MaRDI QIDQ5264174

Jeroen S. W. Lamb, Christian S. Rodrigues, Martin Rasmussen

Publication date: 20 July 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5018

zbMATH Keywords

invariant setsrandom dynamical systemstopological bifurcationsMorse-like decompositions

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Ordinary differential inclusions (34A60) Dynamical aspects of attractors and their bifurcations (37G35) Bifurcation theory for random and stochastic dynamical systems (37H20) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items

Equivalence of topological dynamics without well-posedness, Local stable and unstable manifolds and their control in nonautonomous finite-time flows, Intensity---A Metric Approach to Quantifying Attractor Robustness in ODEs, Hopf bifurcation with additive noise, On set-valued discrete dynamical systems, Supports of invariant measures for piecewise deterministic Markov processes, Minimal invariant closed sets of set-valued semiflows, Controllability near a homoclinic bifurcation, Early-warning signals for bifurcations in random dynamical systems with bounded noise, Approximation of reachable sets using optimal control and support vector machines

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