Heteroclinic transition motions in periodic perturbations of conservative systems with an application to forced rigid body dynamics

DOI10.1134/S1560354718040056zbMath1412.37063OpenAlexW2887793658WikidataQ129425355 ScholiaQ129425355MaRDI QIDQ1739523

Kazuyuki Yagasaki

Publication date: 26 April 2019

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354718040056

zbMATH Keywords

chaosrigid bodyMelnikov methodconservative systemheteroclinic motiontransition motion

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Perturbation methods for rigid body dynamics (70E20)

Related Items

Parametric Resonance for Enhancing the Rate of Metastable Transition, Sub-harmonic Melnikov function for a high-dimensional non-smooth coupled system, Persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems

Uses Software

• AUTO
• AUTO-07P

Cites Work

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