Bifurcation from single periodic orbit in discontinuous autonomous systems

DOI10.1080/00036811.2011.649731zbMath1285.34027OpenAlexW2060383775MaRDI QIDQ2841191

Michal Pospíšil, Michal Fečkan

Publication date: 24 July 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.649731

zbMATH Keywords

bifurcationperiodic orbitdiscontinuous systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (2)

Nonlinear Behavior of a Novel Switching Jerk System ⋮ Persistence of periodic orbits in periodically forced impact systems

Cites Work

• Bifurcation of a non-smooth planar limit cycle from a vertex
• Jumps of the fundamental solution matrix in discontinuous systems and applications
• Qualitative dynamics from asymptotic expansions: Local theory
• Piecewise-smooth dynamical systems. Theory and applications
• Continuation of the periodic orbits for the differential equation with discontinuous right hand side

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