Dynamics of a nonlinear oscillator and a low-amplitude frequency- modulated wave

DOI10.1016/0003-4916(87)90163-1zbMath0626.70023OpenAlexW2009301042MaRDI QIDQ581013

Jianyong Qiao, Sumit K. Garg

Publication date: 1987

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(87)90163-1

zbMATH Keywords

canonical transformationBessel functionsaction-angle variablesperturbed motionnonlinear oscillatoranalytic perturbation theoryFourier orderinvariant K- surfaceLie- transformationPoincaré section of contoursPoincaré-mapresonant denominatorsthreshold of stochasticity

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Nonlinear resonances for nonlinear problems in mechanics (70K30) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Cites Work

• A renormalization approach to invariant circles in area-preserving maps
• Regular and stochastic motion
• Canonical transformations depending on a small parameter
• Unnamed Item