Computer Simulations of Chua’s Circuits with Small-World Connection

Abstract

Based on the two-dimensional array of Chua’s circuit, the complex dynamic phenomena of Chua’s circuits with small world connections was simulated. Such networks can be thought of as a model of nonlinear phenomena in spatially extended systems. And this means for understanding complex interactions existing in real systems where separate cells can communicate in various ways. In such small-world networks, the Chua’s circuit is taken as a standard chaotic cell. The results of computer simulation show that the spiral wave patterns could form in certain initial conditions in the presence of the small-world connection. In addition, it is found that the small-world connection could affect the pattern formation greatly.