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Riddled basins of chaotic synchronization and unstable dimension variability in coupled Lorenz-like systems

Bruno M Czajkowski1, Ricardo L Viana1,2

  • 1Departamento de Física, Universidade Federal do Paraná, 81531-990 Curitiba, Paraná, Brazil.

Chaos (Woodbury, N.Y.)
|September 6, 2024
PubMed
Summary

Unstable dimension variability in coupled chaotic systems creates riddled basins of attraction. A random-walk model accurately predicts scaling exponents near blowout bifurcations, confirming this non-hyperbolic behavior.

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