CHAOTIC ATTITUDE MOTION OF GYROSTAT SATELLITE VIA MELNIKOV METHOD

DOI10.1142/S0218127401002705zbMath1090.70513OpenAlexW2073036317MaRDI QIDQ5474193

Soonhie Tan, Andrew Y. T. Leung, Kandian Arichandran, J. L. Kuang

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: http://www.worldscinet.com/ijbc/11/1105/S0218127401002705.html

zbMATH Keywords

homoclinic orbitsDeprit's variablessymmetric Kelvin gyrostat

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Orbital mechanics (70M20) Dynamical systems in classical and celestial mechanics (37N05) Motion of the gyroscope (70E05)

Related Items (9)

Hamiltonian and chaotic attitude dynamics of an orbiting gyrostat satellite under gravity-gradient torques ⋮ Multifarious chaotic attractors and its control in rigid body attitude dynamical system ⋮ Chaotic attitude oscillations of a satellite filled with a rotating ellipsoidal mass of liquid subject to gravity-gradient torques ⋮ Nonlinear Oscillations of a Suspended Gyrostat ⋮ Bifurcation and chaos in an apparent-type gyrostat satellite ⋮ ANALYSIS OF CHAOTIC INSTABILITIES IN A ROTATING BODY WITH INTERNAL ENERGY DISSIPATION ⋮ Modeling of a chaotic gyrostat system and mechanism analysis of dynamics using force and energy ⋮ Suppressing chaos via Lyapunov--Krasovskii's method ⋮ On Melnikov's method in the study of chaotic motions of gyrostat

Cites Work

• Unnamed Item
• Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom
• Variational methods of constructing chaotic motions in rigid-body dynamics
• Chaotic motion of a gyrostat with asymmetric rotor
• Chaotic motion of an asymmetric gyrostat in the gravitational field
• Melnikov's method for rigid bodies subject to small perturbation torques
• Bifurcation of Self-Excited Rigid Bodies Subjected to Small Perturbation Torques
• On the stability of a spinning top containing liquid
• Chaos and Three-Dimensional Horseshoes in Slowly Varying Oscillators
• Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems
• Stability of Motion of Solid Bodies with Liquid-Filled Cavities by Lyapunov's Methods

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