On the integrability and the zero-Hopf bifurcation of a Chen-Wang differential system

DOI10.1007/s11071-014-1873-4zbMath1345.34048OpenAlexW2087286123MaRDI QIDQ748027

Jaume Llibre, Claudia Valls, Regilene D. S. Oliveira

Publication date: 19 October 2015

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-014-1873-4

zbMATH Keywords

Darboux integrabilityaveraging theoryzero-Hopf bifurcation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (14)

Dynamics at Infinity, Degenerate Hopf and Zero-Hopf Bifurcation for Kingni–Jafari System with Hidden Attractors ⋮ Global dynamical aspects of a generalized Chen-Wang differential system ⋮ Transcritical and zero-Hopf bifurcations in the Genesio system ⋮ Integer and fractional order analysis of a 3D system and generalization of synchronization for a class of chaotic systems ⋮ Bursting dynamics and the zero-Hopf bifurcation of simple jerk system ⋮ First integrals of motion for two dimensional weight-homogeneous Hamiltonian systems in curved spaces ⋮ On the integrability of new examples of two-dimensional Hamiltonian systems in curved spaces ⋮ Zero-Hopf bifurcation and Hopf bifurcation for smooth Chua's system ⋮ Analysis of Degenerate Chenciner Bifurcation ⋮ Zero-Hopf bifurcation in a 3D jerk system ⋮ On the integrability of 2D Hamiltonian systems with variable Gaussian curvature ⋮ The integrability and the zero-Hopf bifurcation of the three dimensional Lotka-Volterra systems ⋮ The zero-Hopf bifurcations of a four-dimensional hyperchaotic system ⋮ Retardational Effect and Hopf Bifurcations in a New Attitude System of Quad-Rotor Unmanned Aerial Vehicle

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