International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2533

Full Length Research Paper

Fuzzy cell mapping on dynamical systems

Y. Song1, D. Edwards2 and V. S. Manoranjan3*
1Savannah College of Art and Design, P. O. Box 3146, Savannah, GA 31402-3146, USA. 2Department of Mechanical Engineering, University of Idaho, Moscow, ID 83844-0902,USA. 3Department of Mathematics, Washington State University, Pullman, WA 99164-3113, USA.
Email: [email protected]

  •  Accepted: 19 April 2013
  •  Published: 23 May 2013

Abstract

Fuzzy cell mapping is a novel computational technique that combines fuzzy logic and a simple cell mapping method. In a simple cell mapping method, the information about mapping locations of image cells is never incorporated into the method. This limits the usage of a simple cell mapping method. In our fuzzy cell mapping method, we account for the mapping locations of image cells and incorporate the information by employing triangular membership functions. This paper demonstrates the use of fuzzy cell mapping on nonlinear dynamical systems. Our results indicate that fuzzy cell mapping can give good estimates on the global behavior of autonomous dynamical systems that posses limit cycles and strange attractors.

 

Key words: Fuzzy cell mapping, nonlinear dynamical systems, limit cycle, strange attractor.