Modified post-bifurcation dynamics and routes to chaos from double-Hopf bifurcations in a hyperchaotic system

DOI10.1007/s11071-012-0360-zzbMath1254.37035OpenAlexW1974559840MaRDI QIDQ1929011

T. Chen, Gaetana Gambino, S. Roy Choudhury

Publication date: 4 January 2013

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

Full work available at URL: https://doi.org/10.1007/s11071-012-0360-z

zbMATH Keywords

normal formsdouble-Hopf bifurcationsmodified Chen systemmodified post-bifurcation dynamics

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (5)

Post-double Hopf bifurcation dynamics and adaptive synchronization of a hyperchaotic system ⋮ Dynamics and control of the seven-mode truncation system of the 2-d Navier-Stokes equations ⋮ Intermittent and passivity based control strategies for a hyperchaotic system ⋮ On the control of the chaotic attractors of the 2-d Navier-Stokes equations ⋮ Non-resonant double Hopf bifurcation of a class-B laser system

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