Invariant manifolds of periodic orbits for piecewise linear three-dimensional systems

DOI10.1093/imamat/69.1.71zbMath1057.37017OpenAlexW2069236753MaRDI QIDQ4822211

Enrique Ponce, Francisco Torres Peral, Victoriano Carmona, Emilio Freire

Publication date: 25 October 2004

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/69.1.71

zbMATH Keywords

periodic orbitsinvariant manifoldsnormal formspiecewise linear systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic orbits of vector fields and flows (37C27) Stability theory for smooth dynamical systems (37C75)

Related Items (9)

Periodic orbits for perturbations of piecewise linear systems ⋮ Hilbert number for a family of piecewise nonautonomous equations ⋮ Unfolding the fold-Hopf bifurcation in piecewise linear continuous differential systems with symmetry ⋮ Existence and Stability of Invariant Cones in 3-Dim Homogeneous Piecewise Linear Systems with Two Zones ⋮ Bifurcation of a Kind of 1D Piecewise Differential Equation and Its Application to Piecewise Planar Polynomial Systems ⋮ Symmetries in timed continuous Petri nets ⋮ On the study and application of limit cycles of a kind of piecewise smooth equation ⋮ BIFURCATION OF INVARIANT CONES IN PIECEWISE LINEAR HOMOGENEOUS SYSTEMS ⋮ Existence of Invariant Cones in General 3-Dim Homogeneous Piecewise Linear Differential Systems with Two Zones

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