Bifurcation and chaos in an apparent-type gyrostat satellite

DOI10.1007/s11071-005-3049-8zbMath1115.70006OpenAlexW1966760921MaRDI QIDQ2499438

Mohammad Ghaffari Saadat, Kourosh Heidari Shirazi

Publication date: 14 August 2006

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

Full work available at URL: https://doi.org/10.1007/s11071-005-3049-8

zbMATH Keywords

integrabilityPoincaré mapLyapunov characteristic exponents

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Overdetermined systems of PDEs with constant coefficients (35N05) Motion of the gyroscope (70E05)

Related Items

Energy mechanism analysis for chaotic dynamics of gyrostat system and simulation of displacement orbit using COMSOL, Dynamics and control of dual-spin gyrostat spacecraft with changing structure, Dynamics and chaos control of gyrostat satellite, Attitude evolution of a dual-liquid-filled spacecraft with internal energy dissipation, Chaos analysis in attitude dynamics of a flexible satellite

Cites Work

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• Chaotic motion in a class of asymmetrical Kelvin type gyrostat satellite
• Chaotic motion of a gyrostat with asymmetric rotor
• Chaotic motion of an asymmetric gyrostat in the gravitational field
• Non-linear resonant attitude motions in gravity-stabilized gyrostat satellites
• On the stability of motion of gyrostats
• Attitude stability of an orbiting gyrostat in conical equilibrium
• CHAOTIC ATTITUDE MOTION OF GYROSTAT SATELLITE VIA MELNIKOV METHOD
• Attitude stability of a gravity-stabilized gyrostat satellite
• Stability Analysis of All Possible Equilibria for Gyrostat Satellities under Gravitational Torques
• Near-Integrability in a Class of Asymmetrical Gyrostat Satellites