Perturbation series for calculation of invariant surface splitting in volume-preserving maps
DOI10.1063/1.3496401zbMath1311.37043OpenAlexW2049926011WikidataQ83094262 ScholiaQ83094262MaRDI QIDQ5251309
Publication date: 20 May 2015
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3496401
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) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Cites Work
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- Passive scalars, three-dimensional volume-preserving maps, and chaos
- Estimation of the Amplitude of Resonance in the General Standard Map
- On the Approximation of Complicated Dynamical Behavior
- Averaging methods in nonlinear dynamical systems
- Break-up of invariant surfaces in action-angle-angle maps and flows
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