4.4 Article

Multistability in symmetric chaotic systems

Journal

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
Volume 224, Issue 8, Pages 1493-1506

Publisher

SPRINGER HEIDELBERG
DOI: 10.1140/epjst/e2015-02475-x

Keywords

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Funding

  1. National Natural Science Foundation of China [61401198]
  2. NUAA Fundamental Research Funds [NS2013025]
  3. Jiangsu Overseas Research and Training Program for University Prominent Young and Middle-aged Teachers and Presidents
  4. 4th 333 High-level Personnel Training Project (Su Education) [60]
  5. National Science Foundation for Postdoctoral General Program
  6. Special Founding Program of People's Republic of China [2011M500838, 2012T50456]
  7. Postdoctoral Research Foundation of Jiangsu Province [1002004C]

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Chaotic dynamical systems that are symmetric provide the possibility of multistability as well as an independent amplitude control parameter. The Rossler system is used as a candidate for demonstrating the symmetry construction since it is an asymmetric system with a single-scroll attractor. Through the design of symmetric Rossler systems, a symmetric pair of coexisting strange attractors are produced, along with the desired partial or total amplitude control.

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