Analytical and numerical study of Hopf bifurcation scenario for a three-dimensional chaotic system

DOI10.1007/s11071-015-2525-zzbMath1354.37041OpenAlexW2285154776MaRDI QIDQ332799

Muhammad Aqeel, Salman Ahmad

Publication date: 9 November 2016

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

Full work available at URL: https://doi.org/10.1007/s11071-015-2525-z

zbMATH Keywords

local stabilityHopf bifurcationPoincaré mapchaotic systemnumerical continuation technique

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Bifurcations of singular points in dynamical systems (37G10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (7)

On the reasonability of linearized approximation and Hopf bifurcation control for a fractional-order delay Bhalekar-Gejji chaotic system ⋮ On Hopf bifurcation in fractional dynamical systems ⋮ Stability and bifurcation analysis of single-degree-of-freedom linear vibro-impact system with fractional-order derivative ⋮ Chaotic behavior of modified stretch-twist-fold (STF) flow with fractal property ⋮ A novel Mittag-Leffler stable estimator for nonlinear fractional-order systems: a linear quadratic regulator approach ⋮ Bifurcation control for a fractional-order competition model of internet with delays ⋮ Optimal control of non-smooth fractional-order systems based on extended Caputo derivative

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