Melnikov functions in the rigid body dynamics

DOI10.1007/978-3-030-34072-8_8zbMath1447.37058OpenAlexW2989586150MaRDI QIDQ3294706

Paweł Lubowiecki, Henryk Żołądek

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-34072-8_8

zbMATH Keywords

Euler-Poisson equationsMelnikov integralHess-Appelrot caseLagrange case

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17)

Cites Work

• Unnamed Item
• The Hess-Appelrot system. II: Perturbation and limit cycles
• Homoclinic orbits in Hamiltonian systems
• The separatrix of an unstable position of equilibrium of a Hess-Appelrot gyroscope
• The Hess-Appelrot system. III: Splitting of separatrices and chaos
• The Hess-Appelrot system. I. Invariant torus and its normal hyperbolicity

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