Abstract
Chua’s oscillator is one of the simplest electronic circuits that are capable of producing chaos. It can exhibit a wide array of behaviour including a great variety of attractors, bifurcations, and routes to chaos.In this paper we report an experimental investigation focused on the dynamics of two-dimensional parameter spaces of a three parameter Chua system, where the nonlinearity of the Chua diode is represented by a cubic polynomial. We investigated the creation of strange attractors in the circuit. The design and use of this circuit is motivated by a recent mathematical theory of rank one attractors developed by Wang and Young. Strange attractors are created by periodically kicking a weakly stable limit cycle emerging from the centre of a supercritical Hopf bifurcation. The periodic pulses are applied directly as an input. For this scheme of creating rank-one attractors to work, the applied periodic pulses must have short pulse widths and long relaxation periods.
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Gopakumar, K., Gopchandran, K.G., Premlet, B. (2011). Experimental Study of Rank 1 Chaos in Chua’s Oscillator with Cubic Nonlinearity. In: Das, V.V., Stephen, J., Chaba, Y. (eds) Computer Networks and Information Technologies. CNC 2011. Communications in Computer and Information Science, vol 142. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19542-6_65
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DOI: https://doi.org/10.1007/978-3-642-19542-6_65
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