A BIPARAMETRIC BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT

DOI10.1142/S0218127407017367zbMath1153.34026OpenAlexW2025120421MaRDI QIDQ3499137

Javier Ros, Enrique Ponce, Emilio Freire

Publication date: 28 May 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127407017367

zbMATH Keywords

piecewise linear systemsfocus-center-limit cycle bifurcationBiparametric bifurcation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Analytic circuit theory (94C05) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (19)

Complex dynamical behavior of modified MLC circuit ⋮ Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems ⋮ BISTABILITY AND HYSTERESIS IN SYMMETRIC 3D PIECEWISE LINEAR OSCILLATORS WITH THREE ZONES ⋮ Pseudo-Bautin Bifurcation in 3D Filippov Systems ⋮ Periodic orbits for perturbations of piecewise linear systems ⋮ Saddle-node bifurcation of invariant cones in 3D piecewise linear systems ⋮ Periodic Orbit Bifurcations in Planar Hysteretic Systems without Equilibria ⋮ Controllability of continuous bimodal linear systems ⋮ Bifurcations from a center at infinity in 3D piecewise linear systems with two zones ⋮ Periodic sinks and periodic saddle orbits induced by heteroclinic bifurcation in three-dimensional piecewise linear systems with two zones ⋮ BIMODAL PIECEWISE LINEAR DYNAMICAL SYSTEMS: REDUCED FORMS ⋮ Discontinuity induced bifurcations in a model of Saccharomyces cerevisiae ⋮ FOLLOWING A SADDLE-NODE OF PERIODIC ORBITS' BIFURCATION CURVE IN CHUA'S CIRCUIT ⋮ AN ANALYTICAL PREDICTION OF PERIODIC FLOWS IN THE CHUA CIRCUIT SYSTEM ⋮ ON PERIODIC ORBITS OF 3D SYMMETRIC PIECEWISE LINEAR SYSTEMS WITH REAL TRIPLE EIGENVALUES ⋮ Existence of Impact Period-1 Orbit After Grazing Bifurcation for a Soft Impacting System ⋮ New Discontinuity-Induced Bifurcations in Chua's Circuit ⋮ Hopf bifurcation at infinity in 3D relay systems ⋮ Stability and boundary equilibrium bifurcations of modified Chua's circuit with smooth degree of 3

Cites Work

• Canonical realization of Chua's circuit family
• Three steps to chaos. II. A Chua's circuit primer
• A universal circuit for studying and generating chaos. I. Routes to chaos
• HOPF BIFURCATIONS AND DEGENERACIES IN CHUA'S CIRCUIT — A PERSPECTIVE FROM A FREQUENCY DOMAIN APPROACH
• The Focus-Center-Limit Cycle Bifurcation in Symmetric 3D Piecewise Linear Systems
• On simplifying and classifying piecewise-linear systems
• LIMIT CYCLE BIFURCATION FROM CENTER IN SYMMETRIC PIECEWISE-LINEAR SYSTEMS
• BIFURCATION OF INVARIANT CONES IN PIECEWISE LINEAR HOMOGENEOUS SYSTEMS

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