Bifurcation and Chaos in Noninteger Order Cellular Neural Networks
- 1 July 1998
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Bifurcation and Chaos
- Vol. 08 (07), 1527-1539
- https://doi.org/10.1142/s0218127498001170
Abstract
In this paper a new class of Cellular Neural Networks (CNNs) is introduced. The peculiarity of the new CNN model consists in replacing the traditional first order cell with a noninteger order one. The introduction of fractional order cells, with a suitable choice of the coupling parameters, leads to the onset of chaos in a two-cell system of a total order of less than three. A theoretical approach, based on the interaction between equilibrium points and limit cycles, is used to discover chaotic motions in fractional CNNs.Keywords
This publication has 9 references indexed in Scilit:
- Chaos in a fractional order Chua's systemIEEE Transactions on Circuits and Systems I: Regular Papers, 1995
- Bifurcation and chaos in cellular neural networksIEEE Transactions on Circuits and Systems I: Regular Papers, 1993
- Fractal system as represented by singularity functionIEEE Transactions on Automatic Control, 1992
- Stability of cellular neural networks with opposite-sign templatesIEEE Transactions on Circuits and Systems, 1991
- Chaos prediction in nonlinear feedback systemsIEE Proceedings D Control Theory and Applications, 1991
- Cellular neural networks: applicationsIEEE Transactions on Circuits and Systems, 1988
- Cellular neural networks: theoryIEEE Transactions on Circuits and Systems, 1988
- Fractal model for the ac response of a rough interfacePhysical Review Letters, 1985
- 1/f noiseProceedings of the IEEE, 1982