Complex dynamics of a memristor based Chua's canonical circuit

Authors:
Christos K. Volos;Ioannis M. Kyprianidis;Ioannis N. Stouboulos;Costin Cepişcă
Affiliations:
Department of Mathematics and Engineering Sciences, Univ. of Military Education, Hellenic Army Academy, Athens, Greece;Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, Greece;Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, Greece;Faculty of Electrical Engineering, Politehnica University of Bucharest, Bucharest, Romania
Venue:
CIT'11 Proceedings of the 5th WSEAS international conference on Communications and information technology
Year:
2011

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Abstract

In this paper the complex dynamics of Chua's canonical circuit with a memristor instead of a nonlinear resistor, was studied. The proposed memristor is a flux controlled memristor, where the relation between flux and charge is a smooth continuous cubic function. A very important phenomenon concerning Chaos theory, such us, the great sensitivity of the circuit on initial conditions, was studied thoroughly by using various techniques via computer simulations.