On Isochronicity

Pub Date : 2023-12-20 DOI:10.1134/s008154382304017x
D. V. Treschev
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引用次数: 0

Abstract

We obtain a complete set of explicit necessary and sufficient conditions for the isochronicity of a Hamiltonian system with one degree of freedom. The conditions are presented in terms of the Taylor coefficients of the Hamiltonian function and have the form of an infinite collection of polynomial equations.

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关于等时性
摘要 我们得到了一个具有一个自由度的哈密尔顿系统等时性的一整套明确的必要条件和充分条件。这些条件用哈密顿函数的泰勒系数表示,其形式为一个无限多项式方程组。
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