Two-dimensional isochronous nonstandard Hamiltonian systems

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 Liénard- 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 $\text{P}T$ symmetric property.

arXiv comment14 pages, 2 figures, Published in Journal of Engineering Mathematics

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Cited by in corpus (1)

• Isochronous $n$-dimensional nonlinear PDM-oscillators: linearizability, invariance and exact solvability