Persistence of chaos in coupled Lorenz systems
详细信息 查看全文
- 作者：Mehmet Onur Fen monur.fen@gmail.com
- 关键词：Lorenz system ; Persistence of chaos ; Sensitivity ; Period-doubling cascade ; Generalized synchronization
- 刊名：Chaos, Solitons & Fractals
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：95
- 期：Complete
- 页码：200-205
- 全文大小：1529 K
- 卷排序：95
文摘
The dynamics of unidirectionally coupled chaotic Lorenz systems is investigated. It is revealed that chaos is present in the response system regardless of generalized synchronization. The presence of sensitivity is theoretically proved, and the auxiliary system approach and conditional Lyapunov exponents are utilized to demonstrate the absence of synchronization. Periodic motions embedded in the chaotic attractor of the response system is demonstrated by taking advantage of a period-doubling cascade of the drive. The obtained results may shed light on the global unpredictability of the weather dynamics and can be useful for investigations concerning coupled Lorenz lasers.