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Journal of Environmental Accounting and Management 7(4) (2018) 413--423 | DOI:10.5890/JAND.2018.12.008

P. Saha$^{1}$, D. C. Saha$^{2}$, A. Ray$^{3}$, A. Roy Chowdhury$^{4}$

$^{1}$ Department of Physics, B.P. Poddar Institute of Management & Technology, 137 VIP Road, Kolkata-700052, India

$^{2}$ Department of Physics, Prabhu Jagatbandhu College, Andul, Howrah-711302, India

$^{3}$ Department of Physics, Gour Mahavidyalaya, Malda-732142, India

$^{4}$ High Energy Physics Division, Department of Physics, Jadavpur University, Kolkata-700032, India

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Abstract

A memristive version of Lorenz equation is proposed and then the equivalent analogue circuit is constructed. In the experimental realization we have used the Op-amp equivalent of a memristor. Starting from the basic stability analysis, the formation of periodic orbits to attractors and the generation of bifurcation scenario, all are shown to depend on the memristive parameters very significantly. As a whole,the memristor has a controlling effect on the system. The overall system being four dimensional, is hyperchaotic and shows some very interesting transitions. Our experimental data supports the numerical simulations.

Acknowledgments

PS is thankful to SERB (DST, Govt. of India) for a research project and ARC is thankful to UGC (Govt. of India) for a UGC-BSR faculty fellowship which made this work possible.

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