Title :
Synthesis of memristor — Based chaotic circuit
Author_Institution :
Dept. of Radio Electron., Brno Univ. of Technol., Brno, Czech Republic
Abstract :
A chaotic attractor has been observed with an autonomous circuit that uses only two energystorage elements: a linear passive inductor and a linear passive capacitor. The other element is a nonlinear active memristor. This paper provides a practical implementation of a memristor based chaotic circuit. Part of this paper is also focus on a mathematical analysis memristor based chaotic system including a calculation of an eigenvalues, a largest Lyapunov exponents and a bifurcation diagram. In the second part of this paper are shown simulation and an experimental results obtained by PSpice simulations and a practical measurements on a breadboard.
Keywords :
bifurcation; capacitors; chaos; eigenvalues and eigenfunctions; inductors; memristors; Lyapunov exponents; PSpice simulations; autonomous circuit; bifurcation diagram; chaotic attractor; eigenvalues; linear passive capacitor; linear passive inductor; mathematical analysis; memristor-based chaotic circuit synthesis; nonlinear active memristor; Bifurcation; Chaos; Integrated circuit modeling; Mathematical model; Memristors; SPICE; Transconductance; Differential equations; Lyapunov exponent; OTA; bifurcation; nonlinear; plane projection;
Conference_Titel :
Telecommunications and Signal Processing (TSP), 2012 35th International Conference on
Conference_Location :
Prague
Print_ISBN :
978-1-4673-1117-5
DOI :
10.1109/TSP.2012.6256327