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An experimental study on SC-CNN based canonical Chua’s circuit

Nonlinear Dynamics volume 71, pages 505–514 (2013)Cite this article

Abstract

In this paper, a State Controlled Cellular Neural Network (SC-CNN) based autonomous canonical Chua’s circuit is presented. The proposed system is modeled by using suitable connection of three simple state controlled generalized CNN cells. The stability of the circuit is studied by determining the eigenvalues of the stability matrices, while the dynamics as well as onset of chaos have been studied through real time experiments and numerical analysis of the generalized SC-CNN equations. The experimental results such as phase portraits and power spectra are in good agreement with those of numerical computations.

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Acknowledgements

The work reported in this paper forms a part of a Department of Science and Technology, Government of India project (No. SERB/F/0640). One of the authors, P.S.S., acknowledges the support provided under the Special Assistance Programme (SAP) of University Grants Commission (UGC). The authors would like to thank Dr. S.K. Dana (IICB, Kolkota, India) for fruitful discussions of this paper.

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Authors and Affiliations

  1. Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli, 620 024, India

    P. S. Swathy & K. Thamilmaran

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  1. P. S. Swathy
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  2. K. Thamilmaran
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Correspondence to K. Thamilmaran.

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Swathy, P.S., Thamilmaran, K. An experimental study on SC-CNN based canonical Chua’s circuit. Nonlinear Dyn 71, 505–514 (2013). https://doi.org/10.1007/s11071-012-0677-7

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Keywords

  • CNN
  • Chaotic circuit
  • Canonical Chua’s circuit
  • SC-CNN equation