Detecting periodic orbits in some 3D chaotic quadratic polynomial differential systems

DOI10.3934/DCDSB.2016.21.1zbMath1336.34050OpenAlexW2232842618MaRDI QIDQ894972

Jaume Llibre, Tiago de Carvalho, Rodrigo Donizete Euzébio, Durval José Tonon

Publication date: 25 November 2015

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016.21.1

zbMATH Keywords

periodic solutionslimit cycleschaotic systemsaveraging theoryquadratic polynomial differential system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Averaging method for ordinary differential equations (34C29) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (5)

New approach of controlling cardiac alternans ⋮ Zero–Hopf Bifurcations in Three-Dimensional Chaotic Systems with One Stable Equilibrium ⋮ Periodic solutions of some classes of continuous second-order differential equations ⋮ Zero-Hopf bifurcations in 3-dimensional differential systems with no equilibria ⋮ Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system

Cites Work

• Unnamed Item
• Periodic solutions of \textit{El Niño} model through the Vallis differential system
• Simple chaotic flows with a line equilibrium
• Integrability of the Nosé-Hoover equation
• Elementary quadratic chaotic flows with no equilibria
• Constructing a Novel No-Equilibrium Chaotic System
• Some third-order ordinary differential equations
• Non-ergodicity of Nosé–Hoover dynamics
• Averaging methods in nonlinear dynamical systems

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