Fuzzy cell mapping on dynamical systems | Zendy

Yonghua Song | Zendy; Dean B. Edwards | Zendy; S Manoranjan | Zendy

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Fuzzy cell mapping on dynamical systems

Author(s) -

Yonghua Song,

Dean B. Edwards,

S Manoranjan

Publication year - 2013

Publication title -

international journal of the physical sciences

Language(s) - English

Resource type - Journals

ISSN - 1992-1950

DOI - 10.5897/ijps10.074

Subject(s) - attractor , fuzzy logic , limit cycle , simple (philosophy) , limit (mathematics) , dynamical systems theory , mathematics , nonlinear system , image (mathematics) , simple cell , computer science , artificial intelligence , mathematical analysis , physics , receptive field , philosophy , epistemology , quantum mechanics

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.

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