Zero-Hopf bifurcation in the Chua’s circuit

DOI10.1063/5.0137020zbMATH Open1520.34035OpenAlexW4383346233WikidataQ121636152 ScholiaQ121636152MaRDI QIDQ6111699

Jean-Marc Ginoux, Jaume Llibre

Publication date: 4 August 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0137020

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Analytic circuit theory (94C05) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• Title not available (Why is that?)
• Elements of applied bifurcation theory.
• Averaging methods for finding periodic orbits via Brouwer degree.
• On the periodic orbit bifurcating from a zero Hopf bifurcation in systems with two slow and one fast variables
• Chua's Circuit and the Qualitative Theory of Dynamical Systems
• ON PERIODIC ORBITS AND HOMOCLINIC BIFURCATIONS IN CHUA’S CIRCUIT WITH A SMOOTH NONLINEARITY
• EXPERIMENTAL CHAOS SYNCHRONIZATION IN CHUA'S CIRCUIT
• Hopf bifurcation and the centers on center manifold for a class of three‐dimensional Circuit system
• Higher order averaging theory for finding periodic solutions via Brouwer degree
• Averaging methods in nonlinear dynamical systems

Related Items (7)

Zero-Hopf bifurcation in a Chua system ⋮ Title not available (Why is that?) ⋮ HOPF BIFURCATIONS AND DEGENERACIES IN CHUA'S CIRCUIT — A PERSPECTIVE FROM A FREQUENCY DOMAIN APPROACH ⋮ Orbital and Parametric normal forms for families of Hopf-zero singularity ⋮ Periodic orbits in the zero-Hopf bifurcations of 3-dimensional Kolmogorov systems of degree 3 ⋮ Title not available (Why is that?) ⋮ New Discontinuity-Induced Bifurcations in Chua's Circuit

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