@article {
author = {Moghimi, Pegah and Asheghi, Rasoul and Kazemi, Rasool},
title = {An extended complete Chebyshev system of 3 Abelian integrals related to a non-algebraic Hamiltonian system},
journal = {Computational Methods for Differential Equations},
volume = {6},
number = {4},
pages = {438-447},
year = {2018},
publisher = {University of Tabriz},
issn = {2345-3982},
eissn = {2383-2533},
doi = {},
abstract = {In this paper, we study the Chebyshev property of the 3-dimentional vector space $E =\langle I_0, I_1, I_2\rangle$, where $I_k(h)=\int_{H=h}x^ky\,dx$ and $H(x,y)=\frac{1}{2}y^2+\frac{1}{2}(e^{-2x}+1)-e^{-x}$ is a non-algebraic Hamiltonian function. Our main result asserts that $E$ is an extended complete Chebyshev space for $h\in(0,\frac{1}{2})$. To this end, we use the criterion and tools developed by Grau et al. in \cite{Grau} to investigate when a collection of Abelian integrals is Chebyshev.},
keywords = {Non-algebraic Hamiltonian,Abelian integral,Chebyshev property,ECT-system},
url = {https://cmde.tabrizu.ac.ir/article_7715.html},
eprint = {https://cmde.tabrizu.ac.ir/article_7715_658154616797cb8e27927c86cb9b9d39.pdf}
}