Unfolding Codimension-Two Subsumed Homoclinic Connections in Two-Dimensional Piecewise-Linear Maps

DOI10.1142/S0218127420300062zbMath1441.37056arXiv1907.02653MaRDI QIDQ5221676

David J. W. Simpson

Publication date: 3 April 2020

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

Full work available at URL: https://arxiv.org/abs/1907.02653

zbMATH Keywords

homoclinic tangencymultistabilitymode-lockingpiecewise-affine maphomoclinic corner

Mathematics Subject Classification ID

Dynamical systems with hyperbolic orbits and sets (37D05) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (4)

Chaos in the border-collision normal form: a computer-assisted proof using induced maps and invariant expanding cones ⋮ Bifurcation, chaos and multi-stability regions in an asset pricing model with three subsystems ⋮ Homoclinic tangencies with infinitely many asymptotically stable single-round periodic solutions ⋮ Multistability Regions and Related Basins of Multiattractors in Piecewise Linear Discontinuous Map from Financial Markets

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