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Complex Generalized Synchronization and Parameter Identification of Nonidentical Nonlinear Complex Systems

PLoS One. 2016 Mar 24;11(3):e0152099. doi: 10.1371/journal.pone.0152099. eCollection 2016.

Abstract

In this paper, generalized synchronization (GS) is extended from real space to complex space, resulting in a new synchronization scheme, complex generalized synchronization (CGS). Based on Lyapunov stability theory, an adaptive controller and parameter update laws are designed to realize CGS and parameter identification of two nonidentical chaotic (hyperchaotic) complex systems with respect to a given complex map vector. This scheme is applied to synchronize a memristor-based hyperchaotic complex Lü system and a memristor-based chaotic complex Lorenz system, a chaotic complex Chen system and a memristor-based chaotic complex Lorenz system, as well as a memristor-based hyperchaotic complex Lü system and a chaotic complex Lü system with fully unknown parameters. The corresponding numerical simulations illustrate the feasibility and effectiveness of the proposed scheme.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Algorithms
  • Computer Simulation*
  • Computers
  • Models, Theoretical
  • Nonlinear Dynamics*
  • Physics / methods*

Grants and funding

Funding provided by Grant No. 61370145, XW, National Natural Science Foundation of China, http://www.nsfc.gov.cn/; Grant No. 61401101, BH, National Natural Science Foundation of China, http://www.nsfc.gov.cn/; Grant Nos. KJ2012A214, KJ2011ZD07, SW, Natural Science Foundation of Anhui Provincial Universities, China, http://www.ahedu.gov.cn/ and Grant No. LR2012003, XW, Program for Liaoning Excellent Talents in University, China, http://www.lnen.cn/. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.