Optimized synchronization of chaotic and hyperchaotic systems

Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Jul;82(1 Pt 2):015201. doi: 10.1103/PhysRevE.82.015201. Epub 2010 Jul 12.

Abstract

A method of synchronization is presented which, unlike existing methods, can, for generic dynamical systems, force all conditional Lyapunov exponents to go to -∞ . It also has improved noise immunity compared to existing methods, and unlike most of them it can synchronize hyperchaotic systems with almost any single coupling variable from the drive system. Results are presented for the Rossler hyperchaos system and the Lorenz system.

MeSH terms

  • Nonlinear Dynamics*
  • Time Factors