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arXiv · 1610.05456

Two-dimensional isochronous nonstandard Hamiltonian systems

A. Durga Devi·R. Gladwin Pradeep·V. K. Chandrasekar·M. Lakshmanan
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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 $\emph PT$ symmetric property.

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A. Durga Devi, R. Gladwin Pradeep, V. K. Chandrasekar, M. Lakshmanan. 2016-10-18. Two-dimensional isochronous nonstandard Hamiltonian systems. https://doi.org/10.1007/s10665-016-9872-8

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