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.>