4.5 Article

A RING-SCROLL CHUA SYSTEM

Journal

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127413501708

Keywords

Generalized ring transformation; Chua system; topological horseshoe; DSP realization

Funding

  1. National Natural Science Foundation of China [61172023, 60871025, 10862001, 11262004]
  2. Natural Science Foundation of Guangdong Province [S2011010001018]
  3. Specialized Research Foundation of Doctoral Subject Point of Education Ministry [20114420110003]

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In this paper, we propose a ring-scroll Chua system by introducing a generalized ring transformation. Some basic dynamical properties of this generalized ring transformation are discussed. The parameter regions and the periodic orbits, which are embedded in Chua chaotic attractor mapping to those in ring-scroll Chua chaotic attractor, are investigated, too. Moreover, the topological horseshoe of this system is investigated. Finally, the ring-scroll Chua chaotic attractor is physically implemented by using digital signal processors.

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