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Chaos generation via a switching fractional multi-model system

Tavazoei, M. S ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1016/j.nonrwa.2008.11.008
  3. Publisher: 2010
  4. Abstract:
  5. This paper introduces a system with switching multi-model structure which can generate chaos. Sub-models in this structure are fractional-order linear systems with any desired commensurate order less than 1. It shows that this system is capable of demonstrating chaotic behavior if its parameters and switching rule are suitably chosen. The structure of the proposed system is defined in a general form; consequently various chaotic attractors can be created by this system with different choices of order, parameters and switching rule. Numerical simulations illustrate behavior of the introduced system in some different situations
  6. Keywords:
  7. Chaos ; Chaos generation ; Chaotic attractors ; Chaotic behaviors ; Fractional-order system ; Multi-model ; Multimodel systems ; Numerical simulation ; Submodels ; Switching rule ; Linear systems ; Simulators ; Switching ; Chaotic systems
  8. Source: Nonlinear Analysis: Real World Applications ; Volume 11, Issue 1 , February , 2010 , Pages 332-340 ; 14681218 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S1468121808002770