Modeling of chaotic motion of gyrostats in resistant environment on the base of dynamical systems with strange attractors

DOI10.1016/j.cnsns.2010.10.020zbMath1335.70020OpenAlexW2033655529MaRDI QIDQ551104

Anton V. Doroshin

Publication date: 13 July 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.10.020

zbMATH Keywords

strange attractorsPoincaré sectionsLyapunov exponentsLorenz systemfast Fourier transformationgyrostatRössler systemNewton-Leipnik systemresistant environmentRigid bodySprott system

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems in classical and celestial mechanics (37N05) Motion of a rigid body with a fixed point (70E17)

Related Items (6)

Heteroclinic chaos and its local suppression in attitude dynamics of an asymmetrical dual-spin spacecraft and gyrostat-satellites. I: Main models and solutions ⋮ Heteroclinic dynamics and attitude motion chaotization of coaxial bodies and dual-spin spacecraft ⋮ Comments on ``Modeling of chaotic motion of gyrostats in resistant environment on the base of dynamical systems with strange attractors ⋮ Multifarious chaotic attractors and its control in rigid body attitude dynamical system ⋮ Homoclinic solutions and motion chaotization in attitude dynamics of a multi-spin spacecraft ⋮ Transient times, resonances and drifts of attractors in dissipative rotational dynamics

Cites Work

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• Adaptive fuzzy bilinear feedback control design for synchronization of TS fuzzy bilinear generalized Lorenz system with uncertain parameters
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