2014/03/07 by Feng Liu, Zhi-Hong Guan, Zhi‐Hong Guan +2
Mathematics · Physics and Astronomy · #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #nlin.CD
paper · pdf · doi:10.48550/arxiv.1403.1657
4 pages, 7 figures
arxiv created 2014/03/07 · openalex publication_date 2014/03/07 · arxiv updated 2014/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we present a unified framework of multiple attractors including multistability, multiperiodicity and multichaos. Multichaos, which means that the chaotic solution of a system lies in different disjoint invariant sets with respect to different initial values, is a very interesting and important dynamical behavior, but it is never addressed before to the best of our knowledge. By constructing a multiple logistic map, we show that multistability, multiperiodicity and multiple chaos can exist according to different value of the parameter p. In the end, by the derived compact invariant set of the Lorenz system, the multiple Lorenz chaotic attractors are constructed using a sawtooth function.