Persistence of chaos in coupled Lorenz systems

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Fen M. O.

CHAOS SOLITONS & FRACTALS, vol.95, pp.200-205, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 95
  • Publication Date: 2017
  • Doi Number: 10.1016/j.chaos.2016.12.017
  • Journal Name: CHAOS SOLITONS & FRACTALS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.200-205
  • Keywords: Lorenz system, Persistence of chaos, Sensitivity, Period-doubling cascade, Generalized synchronization, GENERALIZED SYNCHRONIZATION, LASERS
  • TED University Affiliated: Yes

Abstract

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. (C) 2016 Elsevier Ltd. All rights reserved.