The approximate decomposition of exponential order of slow-fast motions in multifrequency systems.

DOI10.1016/j.jde.2003.09.003zbMath1034.37034OpenAlexW2036206952MaRDI QIDQ1428263

Fuzhong Cong

Publication date: 14 March 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2003.09.003

zbMATH Keywords

perturbationsApproximate decompositionNewton rapidly iterationSlow-fast system

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Theoretical approximation of solutions to ordinary differential equations (34A45) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Numerical methods for ordinary differential equations (65L99)

Related Items (2)

Near-invariant tori on exponentially long time for Poisson systems ⋮ Quasi-effective stability for a nearly integrable volume-preserving mapping

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• Continuous averaging in multi-frequency slow-fast systems

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