Chaotic motion of an asymmetric gyrostat in the magnetic field of the Earth

DOI10.1007/BF01268672zbMath0961.70006MaRDI QIDQ1575043

Gong Cheng, Yan-zhu Liu

Publication date: 5 June 2001

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

chaotic motionHamiltonian structurePoincaré mapmagnetic momentMelnikov's methodcircular orbitSmale's horseshoeregular motionasymmetric magnetic gyrostat satellitechaotic areaDeprit's canonical variablesS(1)-symmetrytwo-degree of freedom Hamiltonian system

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Technical applications of optics and electromagnetic theory (78A55) Orbital mechanics (70M20) Dynamical systems in classical and celestial mechanics (37N05) Motion of the gyroscope (70E05)

Related Items (1)

Heteroclinic chaos and its local suppression in attitude dynamics of an asymmetrical dual-spin spacecraft and gyrostat-satellites. II: The heteroclinic chaos investigation

Cites Work

• Unnamed Item
• Chaotic motion of an asymmetric gyrostat in the gravitational field
• Bifurcation of Self-Excited Rigid Bodies Subjected to Small Perturbation Torques
• A mechanical system with a ‘‘wild’’ horseshoe

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