Generalized synchronization of chaos in non-invertible maps

Abstract

The properties of functional relation between a non-invertible chaotic drive and a response map in the regime of generalized synchronization of chaos are studied. It is shown that despite a very fuzzy image of the relation between the current states of the maps, the functional relation becomes apparent when a sufficient interval of driving trajectory is taken into account. This paper develops a theoretical framework of such functional relation and illustrates the main theoretical conclusions using numerical simulations.

7 pages, 7 figures

Cited by in corpus (4)

• Fractional dynamics of systems with long-range interaction
• Fractional dynamics of coupled oscillators with long-range interaction
• Sublattice synchronization of chaotic networks with delayed couplings
• Detectability of non-differentiable generalized synchrony