On the periodic structure of the Rabinovitch-Fabrikant system

DOI10.1007/s12346-021-00474-wzbMath1477.37060OpenAlexW3165974995MaRDI QIDQ2046948

Zouhair Diab, Juan Luis García Guirao, Juan A. Vera

Publication date: 19 August 2021

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-021-00474-w

zbMATH Keywords

periodic solutionaveraging theoryzero-Hopf bifurcationRabinovitch-Fabrikant system

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Cites Work

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• A hyperchaotic system from the Rabinovich system
• Hopf bifurcation in higher dimensional differential systems via the averaging method
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Averaging methods for finding periodic orbits via Brouwer degree.
• DESIGN AND REALIZATION OF MULTI-WING CHAOTIC ATTRACTORS VIA SWITCHING CONTROL
• Looking More Closely at the Rabinovich–Fabrikant System
• BIFURCATION AND CHAOS IN A COMPLEX MODEL OF DISSIPATIVE MEDIUM
• Averaging methods in nonlinear dynamical systems
• Elements of applied bifurcation theory

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