Lobe dynamics and the escape from a potential well

DOI10.1098/rspa.1991.0169zbMath0742.58039OpenAlexW2096252959MaRDI QIDQ3984341

J. M. T. Thompson, F. A. McRobie

Publication date: 27 June 1992

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1991.0169

zbMATH Keywords

periodic orbitsinvariant setslobe configurations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (8)

Optimal escape from potential wells -- patterns of regular and chaotic bifurcation ⋮ Dynamics of a conducting drop in a time-periodic electric field ⋮ Computational method for phase space transport with applications to Lobe dynamics and rate of escape ⋮ Michael Thompson: his seminal contributions to nonlinear dynamics -- and beyond ⋮ Generic features of escape from a potential well under parametric excitation ⋮ A Bracing Nonlinear Walk in Applied Mechanics: Memoirs and Reflections ⋮ Global unpredictability in nonlinear dynamics: capture, dispersal and the indeterminate bifurcations ⋮ The use of manifold tangencies to predict orbits, bifurcations and estimate escape in driven systems.

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