Including homoclinic connections and T-point heteroclinic cycles in the same global problem for a reversible family of piecewise linear systems

DOI10.1016/j.amc.2016.10.008zbMath1411.34059OpenAlexW2544167369MaRDI QIDQ1734742

E. García-Medina, Victoriano Carmona, Fernando Fernández-Sánchez

Publication date: 27 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.10.008

zbMATH Keywords

heteroclinic orbitshomoclinic orbitspiecewise linear systems

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Discontinuous ordinary differential equations (34A36) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

Heteroclinic Cycles Generated by Piecewise Affine Systems in ℝn ⋮ Singular cycles and chaos in a new class of 3D three-zone piecewise affine systems ⋮ Chaos Generated by a Class of 3D Three-Zone Piecewise Affine Systems with Coexisting Singular Cycles ⋮ Coexisting singular cycles in a class of three-dimensional three-zone piecewise affine systems

Cites Work

• Unnamed Item
• Unnamed Item
• Reversible periodic orbits in a class of 3D continuous piecewise linear systems of differential equations
• The existence of Shilnikov homoclinic orbits in the Michelson system: A computer assisted proof
• Noose structure and bifurcations of periodic orbits in reversible three-dimensional piecewise linear differential systems
• Local and global behavior near homoclinic orbits
• Steady solutions of the Kuramoto-Sivashinsky equation
• T-points: A codimension two heteroclinic bifurcation
• The bifurcations of separatrix contours and chaos
• T-points in a \(\mathbb Z_2\)-symmetric electronic oscillator. I: Analysis
• Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in \(\mathbb R^3\)
• HORSESHOES NEAR HOMOCLINIC ORBITS FOR PIECEWISE LINEAR DIFFERENTIAL SYSTEMS IN ℝ³
• Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System
• The Poincare-Miranda Theorem
• EXISTENCE OF POINCARÉ MAPS IN PIECEWISE LINEAR DIFFERENTIAL SYSTEMS IN ℝ^N
• Existence of homoclinic connections in continuous piecewise linear systems
• Noose bifurcation and crossing tangency in reversible piecewise linear systems
• Cocoon bifurcation in three-dimensional reversible vector fields
• Symmetric Heteroclinic Connections in the Michelson System: A Computer Assisted Proof

This page was built for publication: Including homoclinic connections and T-point heteroclinic cycles in the same global problem for a reversible family of piecewise linear systems