Chapter 8 - Virtualization of Chua's Circuit State Space

Abstract

This chapter deals with the visualization of chaotic attractors of the Chua's circuit and the so-called boundary surface that separates individual attractors from each other in the circuit. Due to unceasing activities in exploration of the new chaos-generating systems and the utilization of chaos in areas such as rehabilitation, noise generation, cryptography, synchronization, neural networks, economics, cancer research, true random number generators, or secret communication, it is necessary to know and visualize both the boundary surface morphology and the chaotic attractor. The chapter covers not only the historical perspective of visualization of chaotic attractors and boundary surfaces, but also a very graphic and modern way of visualization which is the use of virtual reality means, specifically, “virtual cave.” Due to the time-consuming calculation of the boundary surface, we also mention the possibilities of its calculation in 3D state space using parallelization. The abovementioned knowledge of calculation and visualization of the boundary surface and attractors by means of virtual reality can be used not only in Chua's system, but also in any autonomous system.