Bifurcations of asymptotically autonomous differential equations

DOI10.1007/s11228-008-0089-5zbMath1175.34051OpenAlexW2079003701MaRDI QIDQ1005148

Martin Rasmussen

Publication date: 16 March 2009

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/635

zbMATH Keywords

bifurcationattractorrepellertransitionasymptotically autonomous differential equation

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45) Dynamical aspects of attractors and their bifurcations (37G35) Stability theory for smooth dynamical systems (37C75) Topological dynamics of nonautonomous systems (37B55)

Related Items (11)

Bifurcations in Asymptotically Autonomous Hamiltonian Systems Subject to Multiplicative Noise ⋮ Capture into resonance in nonlinear oscillatory systems with decaying perturbations ⋮ Rate-induced tipping from periodic attractors: Partial tipping and connecting orbits ⋮ Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise ⋮ Asymptotic analysis of systems with damped oscillatory perturbations ⋮ Decaying oscillatory perturbations of Hamiltonian systems in the plane ⋮ Bifurcations in asymptotically autonomous Hamiltonian systems under oscillatory perturbations ⋮ Compactification for asymptotically autonomous dynamical systems: theory, applications and invariant manifolds ⋮ Damped Perturbations of Systems with Center-Saddle Bifurcation ⋮ Resonances in asymptotically autonomous systems with a decaying chirped-frequency excitation ⋮ Stability and bifurcation phenomena in asymptotically Hamiltonian systems

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