C M Cheng scite author profile

Abstract. Consider a real analytical Hamiltonian system of KAM type H(p, q) = N (p) + P (p, q) that has n degrees of freedom (n > 2) and is positive definite in p.In this paper we show that for most rotation vectors in Ω, in the sense of (n − 1)-dimensional Lebesgue measure, there is at least one (n − 1)-dimensional invariant torus. These tori are the support of corresponding minimal measures. The Lebesgue measure estimate on this set is uniformly valid for any perturbation.

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C M Cheng

Arnold diffusion in Hamiltonian systems: a priori unstable case

The evolution operator technique in solving the Schrodinger equation, and its application to disentangling exponential operators and solving the problem of a mass-varying harmonic oscillator

Analysis of Berry's phase by the evolution operator method

The SU(2)(+)h(4) Hamiltonian

Minimal invariant tori in the resonant regions for nearly integrable Hamiltonian systems

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