On the fold-Hopf bifurcation for continuous piecewise linear differential systems with symmetry

DOI10.1063/1.3486073zbMath1311.37037OpenAlexW1979297969WikidataQ42871831 ScholiaQ42871831MaRDI QIDQ5251227

Enrique Ponce, Jaume Llibre, Javier Ros, Francisco Torres Peral

Publication date: 19 May 2015

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

Full work available at URL: https://doi.org/10.1063/1.3486073

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) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (5)

Unfolding the fold-Hopf bifurcation in piecewise linear continuous differential systems with symmetry ⋮ Limit cycles created by piecewise linear centers ⋮ Limit cycles of continuous and discontinuous piecewise-linear differential systems in \(\mathbb{R}^3\) ⋮ Hopf and homoclinic bifurcations on the sliding vector field of switching systems in \(\mathbb{R}^3\): a case study in power electronics ⋮ Birth of limit cycles for a class of continuous and discontinuous differential systems in (d+ 2)–dimension

Cites Work

• The continuous matching of two stable linear systems can be unstable
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Piecewise-smooth dynamical systems. Theory and applications
• ON PERIODIC ORBITS OF 3D SYMMETRIC PIECEWISE LINEAR SYSTEMS WITH REAL TRIPLE EIGENVALUES
• Three steps to chaos. II. A Chua's circuit primer
• Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
• The Focus-Center-Limit Cycle Bifurcation in Symmetric 3D Piecewise Linear Systems
• LIMIT CYCLE BIFURCATION FROM CENTER IN SYMMETRIC PIECEWISE-LINEAR SYSTEMS
• BIFURCATION OF INVARIANT CONES IN PIECEWISE LINEAR HOMOGENEOUS SYSTEMS

This page was built for publication: On the fold-Hopf bifurcation for continuous piecewise linear differential systems with symmetry