Volume 123, Number 2, July 2018
|Number of page(s)||7|
|Published online||21 August 2018|
Topological classification of periodic orbits in the Yang-Chen system
Department of Physics, North University of China - Taiyuan 030051, China
Received: 30 May 2018
Accepted: 24 July 2018
This paper studies the periodic orbits of the Yang-Chen system. As an alternative to the Poincaré section map analysis, a new approach for establishing one-dimensional symbolic dynamics is proposed, and the periodic orbits are systematically calculated with the variational method. Two cycles can be used as basic building blocks for initialization searching, and the topological classification based on the entire orbital structure is revealed to be effective. Furthermore, the deformation of periodic orbits with the change of parameters is discussed, which provides a chart to the periods of cycles. The current research may provide a methodology for systematic calculation and classification of periodic orbits in other similar chaotic flows.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 05.45.Ac – Low-dimensional chaos / 02.60.Cb – Numerical simulation; solution of equations
© EPLA, 2018
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