Autowaves and spatio-temporal chaos in CNNs. II. A tutorial

For part I, see ibid., vol. 42, no. 10, pp. 638-49 (Oct. 1995). In this paper, we reproduce and discuss some of the spatio-temporal phenomena, recently simulated in discrete CNNs of dimension one, two, and three. We show how target, or concentric waves, can be generated in both excitable and fluctuating 2-D media, and how several types of scroll waves can be simulated in 3-D arrays. The basic property of autowaves exhibited in interactions-mutual annihilation-is demonstrated through examples. Also included is a discussion of the coexistence of low- and high-dimensional attractors in a CNN ring. Chua´s circuit is used as the basic cell in the CNN arrays. Parameter values and initial conditions for the corresponding simulations are given so they can be reproduced with different simulators