New Proofs of Monotonicity of Period Function for Cubic Elliptic Hamiltonian

New Proofs of Monotonicity of Period Function for Cubic Elliptic Hamiltonian

Year:    2019

Author:    Chenguang Li, Chengzhi Li

Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 3 : pp. 301–305

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2019.301

Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 3 : pp. 301–305

Published online:    2019-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    5

Keywords:    Periodic function elliptic Hamiltonian Abelian integrals.

Author Details

Chenguang Li

Chengzhi Li