Generalized synchronization of chaos in autonomous systems
Autores: O. Alvarez-Llamoza, M.G. Cosenza
Referencia:
Physical Review E, 78, 046216, (2008)
Abstract
We extend the concept of generalized synchronization of chaos,
a phenomenon that occurs in driven dynamical systems, to the
context of autonomous spatiotemporal systems. It means a
situation where the chaotic state variables in an autonomous
system can be synchronized to each other but not to a coupling
function defined from them. The form of the coupling function
is not crucial; it may not depend on all the state variables
nor it needs to be active for all times for achieving
generalized synchronization. The procedure is based on the
analogy between a response map subject to an external drive
acting with a probability p and an autonomous system of coupled
maps where a global interaction between the maps takes place
with this same probability. It is shown that, under some
circumstances, the conditions for stability of generalized
synchronized states are equivalent in both types of systems.
Our results reveal the existence of similar minimal conditions
for the emergence of generalized synchronization of chaos in
driven and in autonomous spatiotemporal systems
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