4.5 Article

Infinite Multistability in a Self-Reproducing Chaotic System

Journal

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127417501607

Keywords

Offset boosting; self-reproducing system; infinite multistability

Funding

  1. Startup Foundation for Introducing Talent of NUIST [2016205]
  2. Natural Science Foundation of the Jiangsu Higher Education Institutions of China [16KJB120004]
  3. Open Fund of Jiangsu Key Laboratory of Meteorological Observation and Information Processing [KDXS1401]
  4. National Natural Science Foundation of China [61072133]
  5. Priority Academic Program Development of Jiangsu Higher Education Institutions

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Multistability exists in various regimes of dynamical systems and in different combinations, among which there is a special one generated by self-reproduction. In this paper, we describe a method for constructing self-reproducing systems from a unique class of variable-boostable systems whose coexisting attractors reside in the phase space along a specific coordinate axis and any of which can be selected by choosing an initial condition in its corresponding basin of attraction.

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