Integrable perturbations of the harmonic oscillator and Poisson pencils

DOI10.1088/0266-5611/17/2/301zbMath0981.35072OpenAlexW2128123183MaRDI QIDQ2720379

Krzysztof Marciniak, Stefan Rauch-Wojciechowski

Publication date: 2 April 2002

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/17/2/301

zbMATH Keywords

integrable perturbationsquasi-Lagrangian equationstwo-dimensional harmonic oscillatorKorteveg-de Vries integrable case of the Hénon-Heiles system

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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)

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