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New Proofs of Monotonicity of Period Function for Cubic Elliptic Hamiltonian
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KeyWord
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Periodic function
elliptic Hamiltonian
Abelian integrals
Author Name
Affiliation
Chenguang Li
School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, China
Chengzhi Li
School of Mathematical Sciences, Peking University, Beijing 100871, China
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Abstract
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In [1] S.-N. Chow and J. A. Sanders proved that the period function is monotone for elliptic Hamiltonian of degree 3. In this paper we significantly simplify their proof, and give a new way to prove this fact, which may be used in other problems.
