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Chaos from jerk circuit

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Abstract

We present an experimental circuit realization of a simple jerk equation with modulus nonlinearity and study the chaotic behaviour as a function of a variable control parameter. The third order differential equation has been realized using commonly available opamps and the nonlinearity using a pair of diodes. The experiments indicate that chaotic behaviour indeed emerges through the period doubling route as the parameter is changed. This work is instructive to show students the phase plots as a function of the control parameter and determine the Feigenbaum constant.

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Authors and Affiliations

  1. Department of Physics, National Institute of Technology, Durgapur, 713209, India

    K. B. Shaik & M. K. Mandal

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  1. K. B. Shaik
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  2. M. K. Mandal
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Shaik, K.B., Mandal, M.K. Chaos from jerk circuit. Reson 15, 257–267 (2010). https://doi.org/10.1007/s12045-010-0039-z

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  • DOI: https://doi.org/10.1007/s12045-010-0039-z

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