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19 April 2024

» arxiv » nlin.CD/0310004

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Validity of numerical trajectories in the synchronization transition of complex systems
R. L. Viana ; C. Grebogi ; S. E. de S. Pinto ; S. R. Lopes ; A. M. Batista ; J. Kurths ;
Date:	7 Oct 2003
Subject:	Chaotic Dynamics \| nlin.CD
Abstract:	We investigate the relationship between the loss of synchronization and the onset of shadowing breakdown {it via} unstable dimension variability in complex systems. In the neighborhood of the critical transition to strongly non-hyperbolic 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 non-hyperbolic properties.
Source:	arXiv, nlin.CD/0310004
Other source:	[GID 764825] pmid14754359
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