A Universal Circuit for Studying and Generating Chaos-Part 11 : Strange Attractors

Manuscript received May 15, 1993; revised August 10, 1993. This paper was recommended by Guest Editor L. 0. Chua. This work was supported by the Office of Naval Research under grant N00014-89-J-1402 and by the National Science Foundation under grant MIP 86-14000. The authors are with the Electronics Research Laboratory and Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA 94720. IEEE Log Number 921 1612. In [3], it was proved that (1) is topologically conjugate to a large class of 3-D systems C = C\€o, where C is the class of odd-symmetric continuous three-region piecewise-linear 3D vector fields, and Eo is a measure zero set. The reader is referred to [l] for the definition of lo. The algorithm for finding the parameters that make a Chua’s oscjllator topologically conjugate to a particular vector field in C is as follows: Algorithm 1: Calculate the eigenvalues ( p i , p h ~ p$) and (U: , U:, vi) associated with the linear and affine vector fields, respectively, of the circuit or system candidate whose attractor is being reproduced by Chua’s oscillator, up to a linear conjugacy. Find a set of circuit parameters