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Chaotic fractional order delayed cellular neural network. (English) Zbl 1311.34009
Baleanu, Dumitru (ed.) et al., New trends in nanotechnology and fractional calculus applications. Selected papers based on the presentations at the workshop new trends in science and technology (NTST 08), and the workshop fractional differentiation and its applications (FDA 09), Ankara, Türkei, November 2008. Dordrecht: Springer (ISBN 978-90-481-3292-8/hbk; 978-90-481-3293-5/ebook). 313-320 (2010).
Summary: This paper deals with the fractional order model of the two-cell autonomous delayed cellular neural network which exhibits chaotic behavior. Numerical simulation results demonstrate that the chaos can be observed in fractional order delayed cellular neural network for fractional order $$q\geq 0$$. 1. Also the $$\tau$$ delay time values for which the chaos occurs in $$q$$ system order, is quantitatively defined using largest Lyapunov exponents.
For the entire collection see [Zbl 1196.65021].

##### MSC:
 34A08 Fractional ordinary differential equations 34C28 Complex behavior and chaotic systems of ordinary differential equations 92B20 Neural networks for/in biological studies, artificial life and related topics
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