On typical homoclinic-like loops in 3D Filippov systems

DOI10.1016/j.jde.2021.10.053zbMath1491.34055arXiv1906.07814OpenAlexW3212009995MaRDI QIDQ2051749

Otávio M. L. Gomide, Marco Antonio Teixeira

Publication date: 25 November 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.07814

zbMATH Keywords

bifurcationFilippov systemsnonsmooth dynamical systemshomoclinic-like loops

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items

Chains in \(3D\) Filippov systems: a chaotic phenomenon

Cites Work

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• Regularization of sliding global bifurcations derived from the local fold singularity of Filippov systems
• On the critical crossing cycle bifurcation in planar Filippov systems
• Generic bifurcations of low codimension of planar Filippov systems
• On structural stability of 3D Filippov systems. A semi-local approach
• THE STABILITY OF SOME KINDS OF GENERALIZED HOMOCLINIC LOOPS IN PLANAR PIECEWISE SMOOTH SYSTEMS
• ON THE SLIDING BIFURCATION OF A CLASS OF PLANAR FILIPPOV SYSTEMS
• Singularities of vector fields on
• The generic unfolding of a codimension-two connection to a two-fold singularity of planar Filippov systems
• ON THREE-PARAMETER FAMILIES OF FILIPPOV SYSTEMS — THE FOLD–SADDLE SINGULARITY
• Synchronous Glacial Cycles in a Nonsmooth Conceptual Climate Model with Asymmetric Hemispheres