Validity of Numerical Trajectories in the Synchronization Transition of Complex Systems

R L Viana, C Grebogi, S E D S Pinto, S R Lopes, A M Batista, J Kurths

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

We investigate the relationship between the loss of synchronization and the onset of shadowing breakdown via unstable dimension variability in complex systems. In the neighborhood of the critical transition to strongly nonhyperbolic behavior, the system undergoes on-off intermittency with respect to the synchronization state. There are potentially severe consequences of these facts on the validity of the computer-generated trajectories obtained from dynamical systems whose synchronization manifolds share the same nonhyperbolic properties.

Original languageEnglish
Article number067204
Number of pages4
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume68
Issue number6
DOIs
Publication statusPublished - Dec 2003

Keywords

  • unstable dimension variability
  • coupled chaotic systems
  • on-off intermittency
  • phase synchronization
  • riddled basins
  • oscillators
  • noise

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