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.
Domaines
Systèmes dynamiques [math.DS]
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