Two-dimensional isochronous nonstandard Hamiltonian systems
Exactly Solvable and Integrable Systems
2016-10-19 v1
Abstract
We identify a generic class of two dimensional nonstandard Hamiltonian systems which exhibit isochronous behaviour. This class of systems belongs to the two dimensional mixed Li\'enard- type equations and is obtained by generalizing the scalar modified Emden equation (MEE) to two dimensions. We show that the generalized class of equations admits a Hamiltonian description and exhibits periodic and quasi-periodic oscillations for suitable choice of parameters and also symmetric property.
Cite
@article{arxiv.1610.05456,
title = {Two-dimensional isochronous nonstandard Hamiltonian systems},
author = {A. Durga Devi and R. Gladwin Pradeep and V. K. Chandrasekar and M. Lakshmanan},
journal= {arXiv preprint arXiv:1610.05456},
year = {2016}
}
Comments
14 pages, 2 figures, Published in Journal of Engineering Mathematics