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Observation of chaotic and strange nonchaotic attractors in a simple multi-scroll system

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Abstract

The dynamics of third-order chaotic circuit with threshold controller as a nonlinear element is reported. The circuit and the preliminary result reported by Chithra et al. (J Comput Electron 16:883–889, 2017), are considered as a prototype by adding quasiperiodic force in the original circuit. This present work focuses attention on exhibiting all possible nonlinear dynamical phenomena (i.e., periodic motion, chaotic, strange nonchaotic and multi-scroll attractor) for a different set of circuit parametric values. The approach helps in proof-of-experimental concept to implement all possible complex dynamical behaviors from a single circuit. Further, we also place emphasis on numerical simulation and physical circuit realization on the breadboard. The existence of strange nonchaotic attractor is quantitatively confirmed by calculating \({ 0}{-}{} { 1}\) test and singular-continuous spectrum analysis. We then find this circuit has potential to produce multi-scroll strange nonchaotic attractor by increasing threshold values. The experimental results are identical to numerical simulations.

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Acknowledgements

This research work is supported by SERB under Project No: SR/S2/HEP-042/2012, and authors thank SERB for providing financial support. The authors would also like to thank Dr. K Murali, Department of Physics, Anna University, Chennai, India, for his valuable suggestion and help.

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Authors and Affiliations

  1. Department of Physics, B.S. Abdur Rahman University, Chennai, 600 048, India

    A. Chithra, I. Raja Mohamed & R. Rizwana

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  1. A. Chithra
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  2. I. Raja Mohamed
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  3. R. Rizwana
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Correspondence to I. Raja Mohamed.

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Chithra, A., Mohamed, I.R. & Rizwana, R. Observation of chaotic and strange nonchaotic attractors in a simple multi-scroll system. J Comput Electron 17, 51–60 (2018). https://doi.org/10.1007/s10825-017-1104-6

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