Shilnikov chaos, Filippov sliding and boundary equilibrium bifurcations

DOI10.1017/S0956792518000335zbMath1412.37054OpenAlexW2808561865WikidataQ129689996 ScholiaQ129689996MaRDI QIDQ4962509

Paul Glendinning

Publication date: 5 November 2018

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792518000335

zbMATH Keywords

homoclinic orbitbifurcation theorypiecewise smooth dynamics

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items

Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems, A general framework for boundary equilibrium bifurcations of Filippov systems, Generating Shilnikov chaos in 3D piecewise linear systems, Chains in \(3D\) Filippov systems: a chaotic phenomenon, Limit cycles and bifurcations in a class of planar piecewise linear systems with a nonregular separation line, Degenerate T-singularity bifurcation and crossing periodic orbits in a 3-dimensional piecewise smooth system, Global dynamics of a Filippov system with general parameters and saddle structure of a regular-SN, The pseudo-Hopf bifurcation and derived attractors in 3D Filippov linear systems with a Teixeira singularity, On the stability of boundary equilibria in Filippov systems, Two-parameter boundary equilibrium bifurcations in 3D-Filippov systems, Shilnikov problem in Filippov dynamical systems, Heteroclinic cycles and chaos in a class of 3D three-zone piecewise affine systems, Sliding homoclinic bifurcations in a Lorenz-type system: Analytic proofs, Hopf-like boundary equilibrium bifurcations involving two foci in Filippov systems, Bifurcations of a generalized heteroclinic loop in a planar piecewise smooth system with periodic perturbations

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