Knot-types and bifurcation sequences of homoclinic and transient orbits of a single-degree-of-freedom driven oscillator

DOI10.1080/02681119408806180zbMath0829.34038OpenAlexW1996382644MaRDI QIDQ4698253

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

Publication date: 11 June 1995

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119408806180

zbMATH Keywords

bifurcationSmale horseshoedriven oscillatorhomoclinic and transient orbits

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (5)

Michael Thompson: his seminal contributions to nonlinear dynamics -- and beyond ⋮ On Moebius and conformal maps between boundaries of \(\mathrm{CAT}(-1)\) spaces ⋮ Dynamics of surface diffeomorphisms relative to homoclinic and heteroclinic orbits ⋮ Equilibrium states in dynamical systems via geometric measure theory ⋮ Minimal topological chaos coexisting with a finite set of homoclinic and periodic orbits

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