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Coexistence of Hidden Attractor and Self-Excited Attractors on the Plane

  • Eric Campos-Cantón,
  • R. de J. Escalante González,
  • Hector E. Gilardi-Velázquez,
  • Guillermo Huerta-Cuellar

摘要

Multistability is a phenomenon that refers to the coexistence of several possible eventual stable states for a given set of parameters. The final stable states converge to an attractor according to the given initial conditions. The phenomenon of multistability has been found in almost all areas of science and nature [1]. A pioneer study, which also coined the term multistability, was devoted to visual perception. Multistability has been identified in different classes of systems such as weakly dissipative systems, coupled systems, delayed feedback systems, parametrically excited systems, and stochastic systems [2].