Bifurcations from a center at infinity in 3D piecewise linear systems with two zones

DOI10.1016/j.physd.2019.132280zbMath1453.34057OpenAlexW2990473528WikidataQ114141977 ScholiaQ114141977MaRDI QIDQ2222762

Enrique Ponce, Emilio Freire, Manuel Ordóñez

Publication date: 27 January 2021

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2019.132280

zbMATH Keywords

limit cyclesbifurcationpiecewise linear systems

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) Invariant manifolds for ordinary differential equations (34C45)

Related Items (3)

Harmonic solutions for a class of non-autonomous piecewise linear oscillators ⋮ Existence of periodic orbits and chaos in a class of three-dimensional piecewise linear systems with two virtual stable node-foci ⋮ Hopf bifurcation at infinity in 3D relay systems

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• The continuous matching of two stable linear systems can be unstable
• Singularities and groups in bifurcation theory. Volume I
• Finding a horseshoe on the beaches of Rio
• Limit cycles of continuous and discontinuous piecewise-linear differential systems in \(\mathbb{R}^3\)
• Quasi-homogeneous normal forms
• Unfolding the fold-Hopf bifurcation in piecewise linear continuous differential systems with symmetry
• A general mechanism to generate three limit cycles in planar Filippov systems with two zones
• Saddle-node bifurcation of invariant cones in 3D piecewise linear systems
• Periodic orbits for a class of reversible quadratic vector field on \(\mathbb R^{3}\)
• The Focus-Center-Limit Cycle Bifurcation in Discontinuous Planar Piecewise Linear Systems Without Sliding
• Dynamics at Infinity, Degenerate Hopf and Zero-Hopf Bifurcation for Kingni–Jafari System with Hidden Attractors
• Hopf bifurcations at infinity
• A BIPARAMETRIC BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT
• BIFURCATION SETS OF SYMMETRICAL CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH THREE ZONES
• Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
• Limit Cycle and Boundary Equilibrium Bifurcations in Continuous Planar Piecewise Linear Systems
• The Focus-Center-Limit Cycle Bifurcation in Symmetric 3D Piecewise Linear Systems
• Canonical Discontinuous Planar Piecewise Linear Systems
• BIFURCATION OF INVARIANT CONES IN PIECEWISE LINEAR HOMOGENEOUS SYSTEMS
• LIMIT CYCLE BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT
• A second order differential equation with singular solutions
• On the Hopf bifurcation in control systems with a bounded nonlinearity asymptotically homogeneous at infinity

This page was built for publication: Bifurcations from a center at infinity in 3D piecewise linear systems with two zones