Nonintegrability of forced nonlinear oscillators
DOI10.1007/s13160-023-00592-9arXiv2201.05328OpenAlexW4378193876MaRDI QIDQ6179916
Shoya Motonaga, Kazuyuki Yagasaki
Publication date: 18 January 2024
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.05328
Periodic solutions to ordinary differential equations (34C25) Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic orbits of vector fields and flows (37C27) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)
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