HOPF BIFURCATIONS AND THEIR DEGENERACIES IN CHUA'S EQUATION

DOI10.1142/S0218127411030106zbMath1248.34059OpenAlexW1978086783MaRDI QIDQ3165863

Fernando Fernández-Sánchez, Manuel Merino, Antonio Algaba, Alejandro J. Rodríguez-Luis

Publication date: 19 October 2012

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

Full work available at URL: https://doi.org/10.1142/s0218127411030106

zbMATH Keywords

Hopf bifurcationnormal formdegeneracyChua's equation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (4)

Localization Method of Compact Invariant Sets with Application to the Chua System ⋮ Zero-Hopf bifurcation in a Chua system ⋮ Bursting dynamics and the zero-Hopf bifurcation of simple jerk system ⋮ Zero-Hopf bifurcation and Hopf bifurcation for smooth Chua's system

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Classification and unfoldings of degenerate Hopf bifurcations
• A system with three limit cycles appearing in a Hopf bifurcation and dying in a homoclinic bifurcation: The cusp of order 4
• LORENZ EQUATION AND CHUA’S EQUATION
• DEGENERATE HOPF BIFURCATIONS IN CHUA'S SYSTEM
• SOME RESULTS ON CHUA'S EQUATION NEAR A TRIPLE-ZERO LINEAR DEGENERACY
• ON THE HOPF–PITCHFORK BIFURCATION IN THE CHUA'S EQUATION

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