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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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