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arXiv · 1608.02910

Monotonicity of the period function of the Liénard equation of second kind

A Ghose-Choudhury·Partha Guha
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Abstract

This paper is concerned with the monotonicity of the period function for closed orbits of systems of the Liénard II type equation given by $\ddot{x} + f(x)\dot{x}^{2} + g(x) = 0$. We generalize Chicone's result regarding the monotonicity of the period function to planar Hamiltonian vector fields in the presence of a position dependent mass. Sufficient conditions are also given for the isochronicity of the potential in case of such a system.

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A Ghose-Choudhury, Partha Guha. 2016-08-08. Monotonicity of the period function of the Liénard equation of second kind. https://arxiv.org/abs/1608.02910

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