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math.DS2024
Transients versus network interactions give rise to multistability through trapping mechanism
Kalel L. Rossi, Everton S. Medeiros, Peter Ashwin +1
In networked systems, the interplay between the dynamics of individual subsystems and their network interactions has been found to generate multistability in various contexts. Desp…
nlin.CD2024
Singular fractal dimension at periodicity cascades in parameters spaces
Carlos E. P. Abreu, Joelson D. V. Hermes, Diogo Ricardo da Costa +2
In the parameter spaces of nonlinear dynamical systems, we investigate the boundaries between periodicity and chaos and unveil the existence of fractal sets characterized by a sing…