Open AccessWien-bridge chaotic oscillator based on fisrt-order generalized memristor
Author(s) -
Qin Yu,
Bao Bo-Cheng,
Hu Feng-Wei,
Quan Xu,
Mo Chen,
Jiang Wang
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.240505
Subject(s) - memristor , chaotic , bridge (graph theory) , nonlinear element , physics , nonlinear system , electrical element , element (criminal law) , simple (philosophy) , topology (electrical circuits) , statistical physics , computer science , quantum mechanics , mathematics , medicine , philosophy , epistemology , artificial intelligence , combinatorics , political science , law
Through introducing a generalized memristor and an LC absorbing network into Wien-bridge oscillator, a kind of memristive Wien-bridge chaotic oscillator is proposed. The dynamical model of the memristive Wien-bridge chaotic oscillator is established, based on which the equilibrium points and their stabilities are studied and the dynamical behaviors are further analyzed when the circuit element parameters are varied. The research findings indicate that the memristive Wien-bridge chaotic oscillator has three determinative equilibrium points and their stabilities depend on the circuit element parameters, and that there exist complex nonlinear phenomena including periodic oscillations, chaotic oscillations and fast-slow effects when the parameters are changed. The experimental circuit is simple and easy to realize. The experimental waveforms and numerical simulations are consistent with each other, which well verify the theoretical analyses.