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Toward searching possible oscillatory region in order space for nonlinear fractional-order systems

Tavazoei, M. S ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1115/1.4025477
  3. Abstract:
  4. Finding the oscillatory region in the order space is one of the most challenging problems in nonlinear fractional-order systems. This paper proposes a method to find the possible oscillatory region in the order space for a nonlinear fractional-order system. The effectiveness of the proposed method in finding the oscillatory region and special order sets placed in its boundary is confirmed by presenting some examples
  5. Keywords:
  6. Chaos ; Nonlinear fractional-order system ; Oscillatory nonlinear system ; Oscillatory region ; Fractional-order systems ; Order sets ; Oscillation ; Chaos theory ; Dynamics ; Mechanical engineering
  7. Source: Journal of Computational and Nonlinear Dynamics ; Vol. 9, issue. 2 , 2014
  8. URL: http://computationalnonlinear.asmedigitalcollection.asme.org/article.aspx?articleid=1740849