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Hyperchaotic synchronization in deterministic small-world dynamical networks. (English) Zbl 1062.37022

The authors study an example of a small-world network. They show that depending on coupling parameter, the network can be synchronized. The oscillators and the coupling scheme are chosen in such a way that the synchronized behavior is hyperchaotic, i.e., it is characterized by more that one positive Lyapunov exponent.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
34C28 Complex behavior and chaotic systems of ordinary differential equations
34C30 Manifolds of solutions of ODE (MSC2000)
34D08 Characteristic and Lyapunov exponents of ordinary differential equations
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References:

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