Can I read Second Order Melnikov Functions of Piecewise Hamiltonian Systems on EtoBox?

Second Order Melnikov Functions of Piecewise Hamiltonian Systems by Yang, Peixing; Françoise, Jean-Pierre; Yu, Jiang is a Physics and Astronomy article available to read on EtoBox.

What is Second Order Melnikov Functions of Piecewise Hamiltonian Systems about?

In this paper, we consider the general perturbations of piecewise Hamiltonian systems. A formula for the second order Melnikov functions is derived when the first order Melnikov functions vanish. As an application, we can improve an upper bound of the number of bifurcated limit cycles of a piecewise Hamiltonian system with quadratic polynomial perturbations.

Who reads Second Order Melnikov Functions of Piecewise Hamiltonian Systems?

Author

Yang, Peixing; Françoise, Jean-Pierre; Yu, Jiang

Publisher

World Scientific Publishing Company; World Scientific ; World Scientific Publishing Co; World Scientific Pub Co Pte Lt (ISSN 0218-1274)

Published

2020

Language

EN

Field

Physics and Astronomy (Physical Sciences)