Uncountably many cases of Filippov's sewed focus

DOI10.1007/s00332-023-09910-4zbMath1525.34057arXiv2306.09743MaRDI QIDQ6166002

Paul Glendinning, Mike R. Jeffrey, Robert Szalai, Martin Homer, S. John Hogan

Publication date: 6 July 2023

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.09743

zbMATH Keywords

switching manifoldpiecewise smooth dynamical systemsstable periodic orbitssewed focus

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Discontinuous ordinary differential equations (34A36) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

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• Piecewise smooth dynamical systems theory: the case of the missing boundary equilibrium bifurcations
• On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
• The formation of a limit cycle at a merged focus
• Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center
• The number of limit cycles for regularized piecewise polynomial systems is unbounded
• Piecewise-smooth dynamical systems. Theory and applications
• Sequences of Periodic Solutions and Infinitely Many Coexisting Attractors in the Border-Collision Normal Form
• Hidden Dynamics

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