Chaos in a Nonlinear Analog Computer

Ken Kiers, Tim Klein, Jeff Kolb, and Steve Price
Physics Department, Taylor University, 236 West Reade Ave., Upland, IN 46989, USA

J. C. Sprott
Department of Physics, University of Wisconsin, 1150 University Ave., Madison, WI 53706, USA

(Received June 27, 2003; Revised August 1, 2003)

ABSTRACT

We explore the chaotic behavior of a nonlinear electrical circuit constructed with simple components such as diodes and linear operational amplifiers. The circuit may be regarded as a nonlinear analog computer that gives a nearly exact solution of a particular chaotic model. Detailed comparisons between theoretical and experimental bifurcation points and power spectra yield differences of less than 1%.

Ref: K. Kiers, T. Klein, J. Kolb, S. Price, and  J. C. Sprott, International Journal of Bifurcation and Chaos 14, 2867-2873 (2004)

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