Network topology and collapse of collective stable chaos
Autores: J. González-Estévez, M.G. Cosenza
Referencia: International Journal of Applied Mathematics and Statistics, 26, 136, (2011)
Abstract
Collective stable chaos consists of the persistence of
disordered patterns in dynamical spatiotemporal systems
possessing a negative maximum Lyapunov exponent. We
analyze the role of the topology of connectivity on the
emergence and collapse of collective stable chaos in
systems of coupled maps defined on a small-world networks.
As local dynamics we employ a map that exhibits a
period-three superstable orbit. The network is
characterized by a rewiring probability $p$. We find that
collective chaos is inhibited on some ranges of values of
the probability $p$; instead, in these regions the system
reaches a synchronized state equal to the period-three
orbit of the local dynamics. Our results show that the
presence of long-range interactions can induce the
collapse of collective stable chaos in spatiotemporal
systems
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