Synchronization of complex networks of identical and nonidentical chaotic systems via model-matching control

PLoS One. 2019 May 23;14(5):e0216349. doi: 10.1371/journal.pone.0216349. eCollection 2019.

Abstract

In this work, a synchronization scheme for networks of complex systems is presented. The proposed synchronization scheme uses a control law obtained with some definitions from graph theory and solving the Model-Matching Problem for complex networks. In particular, Rössler, Chen, Lorenz and Lü chaotic systems are used as complex chaotic systems into complex networks. Particular cases with regular and irregular networks of six identical chaotic systems are implemented, with some well-known topologies as star and ring small-world, and tree topologies. Highlighting, the obtained control law is applied to synchronize an irregular network of six different chaotic systems in a tree topology. The usefulness and advantages of the proposed synchronization scheme are highlighted performing numerical simulations of the chaotic complex networks.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Computer Simulation
  • Models, Theoretical*
  • Neural Networks, Computer
  • Nonlinear Dynamics*
  • Systems Theory*

Grants and funding

This research was funded by Universidad de Guadalajara, under the project RC/075/2018 (RG/006/2018 to DL-M, UDG, Mexico). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.