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New Proofs of Monotonicity of Period Function for Cubic Elliptic Hamiltonian
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KeyWord
:
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
:
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.