Self-organisation in arrays of nonlinear systems induced by chaotic perturbation: An experimental approach

In this work, the effects of diversity in large arrays of chaotic systems are studied. It is here shown how very regular spatio-temporal patterns are achieved by perturbing a system parameter with a suitable spatial disturbance. Moreover, it is shown that synchronisation and order is better achieved if the variation of the parameter is generated by a chaotic system rather than by a random generator based on a stochastic process with uniform distribution. Our conjecture is then validated by several simulation experiences on long chains of both mechanical (pendula) and electrical (Chua's circuits) systems.

[1]  Lin-Bao Yang,et al.  Cellular neural networks: theory , 1988 .

[2]  M. Allessie,et al.  Circus Movement in Rabbit Atrial Muscle as a Mechanism of Tachycardia , 1973, Circulation research.

[3]  Rabinder N Madan,et al.  Chua's Circuit: A Paradigm for Chaos , 1993, Chua's Circuit.

[4]  Marco Gilli,et al.  Investigation of chaos in large arrays of Chua's circuits via a spectral technique , 1995 .

[5]  Leon O. Chua,et al.  PROPAGATION FAILURE IN LINEAR ARRAYS OF CHUA’S CIRCUITS , 1992 .

[6]  ROBERTO GENESIO,et al.  Distortion Control of Chaotic Systems: the Chua's Circuit , 1993, J. Circuits Syst. Comput..

[7]  V. P ez-Villar,et al.  Autowaves for Image Processing on a Two-Dimensional CNN Array of Excitable Nonlinear Circuits: Flat and Wrinkled Labyrinths V. Perez-Mufiuzuri, V. Perez-Villar, and Leon 0. Chua, Fellow, ZEEE , 1993 .

[8]  Maciej Ogorzalek,et al.  Dynamic phenomena in chain interconnections of Chua's circuits , 1993 .

[9]  W. Ditto,et al.  Taming spatiotemporal chaos with disorder , 1995, Nature.

[10]  Vicente Pérez-Muñuzuri,et al.  Autowaves for Image Processing on a Two-Dimensional CNN Array of Excitable Nonlinear Circuits: Flat and Wrinkled Labyrinths V. Perez-Mufiuzuri, V. Perez-Villar, and Leon 0. Chua, Fellow, ZEEE , 1993 .

[11]  K. Kaneko.  Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements , 1990 .

[12]  Leon O. Chua,et al.  Spiral waves on a 2-D array of nonlinear circuits , 1993 .