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Multistability in Dynamical Systems 📂Dynamical Systems

Multistability in Dynamical Systems

Definition 1

In a dynamical system, when multiple stable attractors coexist, the system is said to exhibit multistability.

Explanation

Multistability, which depends on initial conditions, appears in the Thomas system2, and bistability arises in the atopic dermatitis system3.

  1. Roy, M., Mandal, S., Hens, C., Prasad, A., Kuznetsov, N. V., & Dev Shrimali, M. (2022). Model-free prediction of multistability using echo state network. Chaos: An Interdisciplinary Journal of Nonlinear Science, 32(10). https://doi.org/10.1063/5.0119963 ↩︎

  2. Sprott, J. C., & Chlouverakis, K. E. (2007). Labyrinth chaos. International Journal of Bifurcation and Chaos, 17(06), 2097-2108. https://doi.org/10.1142/S0218127407018245 ↩︎

  3. Kang, Y., Lee, E. H., Kim, S. H., Jang, Y. H., & Do, Y. (2021). Complexity and multistability of a nonsmooth atopic dermatitis system. Chaos, Solitons & Fractals, 153, 111575. https://doi.org/10.1016/j.chaos.2021.111575 ↩︎