New Proofs of Monotonicity of Period Function for Cubic Elliptic Hamiltonian

Authors

  • Chenguang Li School of Mathematics and Statistics, Xian Jiaotong University, Xian, Shaanxi 710049, China 
  • Chengzhi Li

DOI:

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

Keywords:

Periodic function, elliptic Hamiltonian, Abelian integrals.

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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Published

2024-04-10

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Issue

Vol. 1 No. 3 (2019)

Section

Articles

How to Cite

New Proofs of Monotonicity of Period Function for Cubic Elliptic Hamiltonian. (2024). Journal of Nonlinear Modeling and Analysis, 1(3), 301-305. https://doi.org/10.12150/jnma.2019.301