2023/06/03 by Théophile Caby, Caby, ThÉophile, Pierre Guiraud +1
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Cellular Automata and Applications #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.2306.02188
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 exponent associated with blocks of synchronized sites. We use these results to study clustered dynamics from a numerical perspective, and give numerical evidence of attracting chimeras having chaotic dynamics, as well as periodic behaviors. Finally, we obtain some results ruling out the existence of absolutely continuous invariant measures supported on chimera states in strong coupling regimes.