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19952025
most citedScale-free brain functional networks

1.5k citations

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29 papers · 1 filter

nlin.CD2012★ 16 cited

Geometric Mixing, Peristalsis, and the Geometric Phase of the Stomach

Jorge Arrieta, Julyan H. E. Cartwright, Emmanuelle Gouillart +3

Mixing fluid in a container at low Reynolds number - in an inertialess environment - is not a trivial task. Reciprocating motions merely lead to cycles of mixing and unmixing, so c…

nlin.CD2012★ 2 cited

Geometric phases in discrete dynamical systems

Julyan H. E. Cartwright, Nicolas Piro, Oreste Piro +1

In order to study the behaviour of discrete dynamical systems under adiabatic cyclic variations of their parameters, we consider discrete versions of adiabatically-rotated rotators…

nlin.CD2007★ 22 cited

Experimental study of imperfect phase synchronization in the forced Lorenz system

Antonio Pujol-Pere, Oscar Calvo, Manuel A. Matias +1

In this work we demonstrate for an experimental system, that exhibits the Lorenz butterfly attractor behavior, that perfect chaotic phase synchronization cannot be achieved in syst…

nlin.CD2006★ 28 cited

Synchronization of extended chaotic systems with long-range interactions: an analogy to Levy-flight spreading of epidemics

Claudio Juan Tessone, Massimo Cencini, Alessandro Torcini

Spatially extended chaotic systems with power-law decaying interactions are considered. Two coupled replicas of such systems synchronize to a common spatio-temporal chaotic state a…

nlin.CD2005★ 10 cited

Effects of microscopic disorder on the collective dynamics of globally coupled maps

S. De Monte, F. d'Ovidio, H. Chate' +1

This paper studies the effect of independent additive noise on the synchronous dynamics of large populations of globally coupled maps. Our analysis is complementary to the approach…

nlin.CD2005★ 26 cited

Boltzmann entropy and chaos in a large assembly of weakly interacting systems

Massimo Falcioni, Luigi Palatella, Simone Pigolotti +2

We introduce a high dimensional symplectic map, modeling a large system consisting of weakly interacting chaotic subsystems, as a toy model to analyze the interplay between single-…