Topological classification of periodic orbits in the Yang-Chen system. (21st August 2018)

• Record Type: Journal Article
• Authors: Dong, Chengwei
• Is Part Of: Europhysics letters. Volume 123:Number 2(2018:Jul.)
• Publication Date: 2018-08-21
• Subjects: 05.45.-a -- 05.45.Ac -- 02.60.Cb; Physics -- Periodicals; Electronic journals; 530.05
• DOI: 10.1209/0295-5075/123/20005
• Languages: English
• ISSNs: 0295-5075

Abstract

Abstract: 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.