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Bonatti, Christian; Viana, Marcelo

SRB measures for partially hyperbolic systems whose central direction is mostly contracting. (English) Zbl 0996.37033

Isr. J. Math. 115, 157-193 (2000).
The authors show that synchronization with positive Lyapunov exponents can be observed on numerical simulations of identical, generalized and noise-induced synchronization. They also demonstrate that in all the cases, the synchronization is an outcome of the finite precision in numerical simulations. It is shown that some behaviour and properties of the synchronized system with slightly positive conditional Lyapunov exponents can be understood based on the theory of on-off intermittency.
Reviewer: Messand Efendiev (Berlin)

Cited in 8 Reviews
Cited in 122 Documents

MSC:

37D30 Partially hyperbolic systems and dominated splittings
37C40 Smooth ergodic theory, invariant measures for smooth dynamical systems

Keywords:

SRB measure; partially hyperbolic system; synchronization; Lyapunov exponents
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\textit{C. Bonatti} and \textit{M. Viana}, Isr. J. Math. 115, 157--193 (2000; Zbl 0996.37033)
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References:

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