Hyperchaos in SC-CNN based modified canonical Chua’s circuit

Abstract

In this paper, a state-controlled cellular neural network (SC-CNN)-based hyperchaotic circuit is implemented for classical modified canonical Chua’s circuit. The proposed system is modeled by using a suitable connection of four state-controlled generalized CNN cells, while the stability of the circuit is studied by determining the eigenvalues of the stability matrices, the system parameter is varied, and the dynamics as well as the onset of chaos and hyperchaos followed by a period-three doubling bifurcation has been studied through numerical analysis of the generalized SC-CNN equations and real-time experiments. We further validate our findings, the chaotic and hyperchaotic dynamics, characterized by two positive Lyapunov exponents and Lyapunov dimension, is described by a set of four coupled first-order generalized SC-CNN equations. This has been investigated extensively not only analyzing by computer simulation but also demonstrating by laboratory experiments. The experimental results such as phase portraits, Poincaré surface sections and power spectra are in good agreement with those of numerical computations.

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Acknowledgments

PSS acknowledges the University Grants Commission (UGC) for the financial assistance through RFSMS scheme. KT acknowledges DST, Govt. of India for the financial support through the Grant No. SR/S2/HEP-015/2010.

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Correspondence to K. Thamilmaran.

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Swathy, P.S., Thamilmaran, K. Hyperchaos in SC-CNN based modified canonical Chua’s circuit. Nonlinear Dyn 78, 2639–2650 (2014). https://doi.org/10.1007/s11071-014-1615-7

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Keywords

  • Modified canonical Chua’s circuit
  • Hyperchaos
  • SC-CNN equation