Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/4795
Title: Contraction stability and transverse stability of synchronization in complex networks
Authors: Li, K
Small, M
Fu, X
Issue Date: 16-Nov-2007
Source: Physical review. E, Statistical, nonlinear, and soft matter physics, Nov. 2007, v. 76, no. 5, 056213, p. 1-7
Abstract: We consider discrete dynamical networks, and analytically demonstrate the relation between transverse stability in the Milnor sense and contraction stability, the stability for synchronous manifolds obtained via the partial contraction principle. By contraction for a system, we mean that initial conditions or temporary disturbances are forgotten exponentially fast, so that all trajectories of this system converge to a unique trajectory. In addition, synchronization of star-shaped complex networks is investigated via the partial contraction principle. This example further verifies the interrelation between contraction and transverse stability.
Keywords: Dynamical systems
Synchronization
Coupled map lattices
Synchronization
Coupled oscillators
Structures and organization in complex systems
Networks and genealogical trees
Publisher: American Physical Society
Journal: Physical review. E, Statistical, nonlinear, and soft matter physics 
ISSN: 1539-3755
EISSN: 1550-2376
DOI: 10.1103/PhysRevE.76.056213
Rights: Physical Review E © 2007 The American Physical Society. The Journal's web site is located at http://pre.aps.org/
Appears in Collections:Journal/Magazine Article

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