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Pré-Publication, Document De Travail Année : 2010

Discontinuous generalized synchronization of chaos

Résumé

We analyze discontinuous synchronization functions in basic examples of forced systems with uniform contractive response and chaotic driving. The forcing is given by generalized (linear and nonlinear) baker's map and the response depends monotonically on the drive. The resulting synchronization graphs appear to be extremely wrinkled with dense sets of discontinuities. We provide a criteria on the contraction rate for the associated total variation to be bounded and we study in detail smoothness properties of the continuous component.
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Dates et versions

hal-00562485 , version 1 (03-02-2011)
hal-00562485 , version 2 (11-05-2011)

Identifiants

  • HAL Id : hal-00562485 , version 1

Citer

Bastien Fernandez. Discontinuous generalized synchronization of chaos. 2010. ⟨hal-00562485v1⟩
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