Two-dimensional isochronous nonstandard Hamiltonian systems
arXiv:1610.05456 · doi:10.1007/s10665-016-9872-8
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 symmetric property.
14 pages, 2 figures, Published in Journal of Engineering Mathematics