Titlebook: Chaotic Systems with Multistability and Hidden Attractors; Xiong Wang,Nikolay V. Kuznetsov,Guanrong Chen Book 2021 The Editor(s) (if appli

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Indelible

IntroductionEver since its discovery in 1963, the Lorenz system has been a paradigm of chaos and the Lorenz attractor has become an emblem of chaos. Lorenz himself thus has been marked by history as an icon of chaos theory.

臭名昭著

Chaotic Systems with Stable EquilibriaAlthough the Šil’nikov theorem ensures horseshoe chaos to exist with a homoclinic orbit if its characteristic eigenvalues with negative real parts at the equilibria satisfy some specific conditions, it does not rule out the possibility of encountering chaos in systems with stable equilibria.

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Hyperchaotic Systems with Hidden AttractorsRecently, research focus has been shifted from classifying periodic and chaotic attractors to self-excited and hidden attractors [.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.].

BIAS

chlorosis

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Multi-Stability in Self-Reproducing SystemsAs we discussed in the above chapters, many dynamical systems can produce similar attractors, specifically some of which [1–10] share the same Lyapunov exponents.

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Institution