Electronic Circuit Realization of the Logistic Map

Details Electronic Circuit Realization of the Logistic Map Electronic Circuit Realization of the Logistic Map

2006-03-11

arxiv.org/abs/nlin/0603025v1

Sadhana - Academy Proceedings in Engineering Sciences, Indian Academy of Sciences, Vol. 31, Part 1, February 2006, pp. 69-78

Nonlinear Sciences

Chaotic Dynamics

8 pages, 8 figures, PDF format

Scientific paper

An electronic circuit realization of the logistic difference equation is presented using analog electronics. The behavior of the realized system is evaluated against computer simulations of the same. The circuit is found to exhibit the entire range of dynamics of the logistic equation: fixed points, periodicity, period doubling, chaos and intermittency. Quantitative measurements of the dynamics of the realized system are presented and are found to be in good agreement with the theoretical values. Some possible applications of such a realization are briefly discussed.

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