Subsumed Homoclinic Connections and Infinitely Many Coexisting Attractors in Piecewise-Linear Maps

DOI10.1142/S0218127417300105zbMath1362.37059arXiv1611.00067MaRDI QIDQ5738114

Christopher Tuffley, David J. W. Simpson

Publication date: 31 May 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00067

zbMATH Keywords

piecewise-smoothhomoclinic tangencyborder-collision bifurcationsingle-round periodic solution

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (5)

Unfolding globally resonant homoclinic tangencies ⋮ A Practice-Oriented Bifurcation Analysis for Pulse Energy Converters. Part 3: Transients ⋮ Homoclinic tangencies with infinitely many asymptotically stable single-round periodic solutions ⋮ Unfolding Codimension-Two Subsumed Homoclinic Connections in Two-Dimensional Piecewise-Linear Maps ⋮ Grazing-Sliding Bifurcations Creating Infinitely Many Attractors

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