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nlin.CD2023
Dynamical properties of chimera states for globally coupled map lattices
ThÉophile Caby, Pierre Guiraud
We study the stability properties and long-term dynamical behavior of chimera states in globally coupled map lattices. In particular, we give a formula for the transverse Lyapunov…
nlin.CD2014★ 7 cited
Sampling local properties of attractors via Extreme Value Theory
Davide Faranda, Jorge Milhazes Freitas, Pierre Guiraud +1
We provide formulas to compute the coefficients entering the affine scaling needed to get a non-degenerate function for the asymptotic distribution of the maxima of some kind of ob…
nlin.CD2002
Route to chaotic synchronisation in coupled map lattices: Rigorous results
Bastien Fernandez, Pierre Guiraud
Two-dimensional mappings obtained by coupling two piecewise increasing expanding maps are considered. Their dynamics is described when the coupling parameter increases in the expan…