Creation of limit cycles in piecewise smooth vector fields tangent to nested tori

DOI10.1007/s12346-021-00491-9zbMath1479.34027OpenAlexW3168427792MaRDI QIDQ2046954

L. F. Gonçalves, Tiago de Carvalho

Publication date: 19 August 2021

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-021-00491-9

zbMATH Keywords

limit cyclesbifurcationpiecewise smooth vector field

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36)

Cites Work

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• On piecewise smooth vector fields tangent to nested tori
• Dynamics and bifurcations of non-smooth mechanical systems
• Discontinuites de champs hamiltoniens et existence de solutions optimales en calcul des variations
• The canonical foliation of a compact generalized Hopf manifold
• Nontoric foliations by Lagrangian tori of toric Fano varieties
• Piecewise-smooth dynamical systems. Theory and applications
• Regularization of discontinuous foliations: blowing up and sliding conditions via Fenichel theory
• Birth of limit cycles bifurcating from a nonsmooth center
• Some Deformations of the Hopf Foliation are also Kahler
• The double scroll family
• Ordinary Differential Equations with Applications
• Sliding Shilnikov connection in Filippov-type predator-prey model
• Global analysis of the dynamics of a mathematical model to intermittent HIV treatment