Bifurcation of Self-Excited Rigid Bodies Subjected to Small Perturbation Torques

DOI10.2514/2.4004zbMath0867.34028OpenAlexW2037341446MaRDI QIDQ3129352

Xiaohua Tong, Behrouz Tabarrok

Publication date: 11 August 1997

Published in: Journal of Guidance, Control, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2514/2.4004

zbMATH Keywords

bifurcationheteroclinic orbitsrigid bodiesslowly varying oscillatorsDeprit variables

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Free motion of a rigid body (70E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Heteroclinic bifurcations in completely liquid-filled spacecraft with flexible appendage ⋮ Heteroclinic bifurcations in attitude maneuver of coupled slosh-spacecraft with flexible appendage ⋮ Attitude evolution of a dual-liquid-filled spacecraft with internal energy dissipation ⋮ Hamiltonian and chaotic attitude dynamics of an orbiting gyrostat satellite under gravity-gradient torques ⋮ CHAOTIC ATTITUDE MOTION OF GYROSTAT SATELLITE VIA MELNIKOV METHOD ⋮ Chaotic motion of an asymmetric gyrostat in the magnetic field of the Earth ⋮ On Melnikov's method in the study of chaotic motions of gyrostat

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