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 Email
Chengzhi Li Email