Reversible periodic orbits in a class of 3D continuous piecewise linear systems of differential equations

DOI10.1016/j.na.2012.05.027zbMath1245.34046OpenAlexW1982618414MaRDI QIDQ441189

E. García-Medina, Fernando Fernández-Sánchez, Antonio E. Teruel, Victoriano Carmona, Soledad Fernández-García

Publication date: 20 August 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150492

zbMATH Keywords

saddle-node bifurcationperiodic orbitsreversible systemspiecewise linear systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Invariant manifolds for ordinary differential equations (34C45)

Related Items (6)

Noose structure and bifurcations of periodic orbits in reversible three-dimensional piecewise linear differential systems ⋮ Bifurcation of limit cycles of a class of piecewise linear differential systems in \(\mathfrak R^4\) with three zones ⋮ Quadratic stability and stabilization of bimodal piecewise linear systems ⋮ Including homoclinic connections and T-point heteroclinic cycles in the same global problem for a reversible family of piecewise linear systems ⋮ The Period Adding and Incrementing Bifurcations: From Rotation Theory to Applications ⋮ On the periodic solutions of the Michelson continuous and discontinuous piecewise linear differential system

Cites Work

• Unnamed Item
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• On the Hopf-zero bifurcation of the Michelson system
• The existence of steady solutions of the Kuramoto-Sivashinsky equation
• Oscillators with chaotic behavior: An illustration of a theorem by Shil'nikov
• Steady solutions of the Kuramoto-Sivashinsky equation
• Hopf-like bifurcations in planar piecewise linear systems
• Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in \(\mathbb R^3\)
• New aspects in the unfolding of the nilpotent singularity of codimension three
• RESONANCES OF PERIODIC ORBITS IN RÖSSLER SYSTEM IN PRESENCE OF A TRIPLE-ZERO BIFURCATION
• Tangency Bifurcations of Global Poincaré Maps
• Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System
• Noose bifurcation of periodic orbits
• Asymptotic analysis of the Michelson system
• EXISTENCE OF POINCARÉ MAPS IN PIECEWISE LINEAR DIFFERENTIAL SYSTEMS IN ℝ^N
• A NOTE ON THE TRIPLE-ZERO LINEAR DEGENERACY: NORMAL FORMS, DYNAMICAL AND BIFURCATION BEHAVIORS OF AN UNFOLDING
• Existence of homoclinic connections in continuous piecewise linear systems
• Rigorous verification of cocoon bifurcations in the Michelson system
• LIMIT CYCLE BIFURCATION FROM CENTER IN SYMMETRIC PIECEWISE-LINEAR SYSTEMS
• LIMIT CYCLE BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT
• Symmetric Heteroclinic Connections in the Michelson System: A Computer Assisted Proof
• Elements of applied bifurcation theory

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