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arXiv · 2401.07332

Non-isochronicity on piecewise Hamiltonian differential systems with homogeneous nonlinearities

Xiaoyi Chen·Guangfeng Dong
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Abstract

In this paper we prove the non-isochronicity of $\Sigma$-centers for a class of planar piecewise smooth differential systems with a straight switching line, whose two sub-systems are Hamiltonian differential systems with a non-degenerated center and only homogeneous nonlinearities.

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Xiaoyi Chen, Guangfeng Dong. 2024-01-14. Non-isochronicity on piecewise Hamiltonian differential systems with homogeneous nonlinearities. https://arxiv.org/abs/2401.07332

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