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Volume 1, Issue 3
New Proofs of Monotonicity of Period Function for Cubic Elliptic Hamiltonian

Chenguang Li & Chengzhi Li

DOI: 10.12150/jnma.2019.301

J. Nonl. Mod. Anal., 1 (2019), pp. 301-305.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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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.

  • Keywords

Periodic function, elliptic Hamiltonian, Abelian integrals.

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COPYRIGHT: © Global Science Press

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@Article{JNMA-1-301, author = {Li , Chenguang and Li , Chengzhi}, title = {New Proofs of Monotonicity of Period Function for Cubic Elliptic Hamiltonian}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {1}, number = {3}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2019.301}, url = {http://global-sci.org/intro/article_detail/jnma/18844.html} }
TY - JOUR T1 - New Proofs of Monotonicity of Period Function for Cubic Elliptic Hamiltonian AU - Li , Chenguang AU - Li , Chengzhi JO - Journal of Nonlinear Modeling and Analysis VL - 3 SP - 301 EP - 305 PY - 2021 DA - 2021/04 SN - 1 DO - http://doi.org/10.12150/jnma.2019.301 UR - https://global-sci.org/intro/article_detail/jnma/18844.html KW - Periodic function, elliptic Hamiltonian, Abelian integrals. AB -

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.

Li , Chenguang and Li , Chengzhi. (2021). New Proofs of Monotonicity of Period Function for Cubic Elliptic Hamiltonian. Journal of Nonlinear Modeling and Analysis. 1 (3). 301-305. doi:10.12150/jnma.2019.301
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