Zero-Hopf Periodic Orbits for a Rössler Differential System

DOI10.1142/S0218127420501709zbMath1453.34058OpenAlexW3092587305MaRDI QIDQ4971060

Jaume Llibre, Ammar Makhlouf

Publication date: 8 October 2020

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

Full work available at URL: https://doi.org/10.1142/s0218127420501709

zbMATH Keywords

bifurcationperiodic orbitequilibrium pointaveraging theory

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items

Using Symbolic Computation to Analyze Zero-Hopf Bifurcations of Polynomial Differential Systems ⋮ Analysis of Zero-Hopf Bifurcation in Two Rössler Systems Using Normal Form Theory

Cites Work

• Inequivalent topologies of chaos in simple equations
• Hopf bifurcation in higher dimensional differential systems via the averaging method
• Zero-Hopf bifurcations in 3-dimensional differential systems with no equilibria
• An equation for continuous chaos
• FORMAL AND ANALYTIC INTEGRABILITY OF THE ROSSLER SYSTEM
• DARBOUX INTEGRABILITY FOR THE RÖSSLER SYSTEM
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