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A novel definition of generalized synchronization on networks and a numerical simulation example. (English) Zbl 1165.34379

Summary: This paper develops a novel definition of generalized synchronization on complex networks consisting of systems evolving in a chaotic or regular fashion. With two usual methods for detecting generalized synchronization, two criteria for generalized synchronization on networks are advanced. Some complex dynamical behaviors are discussed briefly on the basis of numerical simulations of a real network example.

MSC:

34D20 Stability of solutions to ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37N35 Dynamical systems in control
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