Experimental study on tracking the state of analog Chua's circuit with particle filter for chaos synchronization

2008 ◽  
Vol 372 (34) ◽  
pp. 5575-5580 ◽  
Author(s):  
Zhiguo Shi ◽  
Shaohua Hong ◽  
Kangsheng Chen
Keyword(s):  
Experimental Study ◽  
Particle Filter ◽  
Chaos Synchronization ◽  
The State ◽  
Chua’S Circuit ◽  
Chua's Circuit

EXPERIMENTAL STUDY OF CFOA-BASED INDUCTORLESS CHUA'S CIRCUIT

2004 ◽  
Vol 14 (04) ◽  
pp. 1369-1374 ◽  
Author(s):  
RECAI KILIÇ
Keyword(s):  
Experimental Study ◽  
High Frequency ◽  
Chaotic Behavior ◽  
Comparative Investigation ◽  
Experimental Setup ◽  
Chua’S Circuit ◽  
Current Feedback ◽  
Chua's Circuit ◽  
Op Amps ◽  
High Frequency Performance

The current feedback op amps (CFOAs), with some significant advantages over the conventional op amps, have been used instead of voltage op amps (VOAs) in new implementations of Chua's circuit. In our previous study, after providing a comparative investigation of CFOA-based realizations of Chua's circuit in the literature, we have also presented an alternative inductorless CFOA-based realization of Chua's circuit, and the circuit's chaotic behavior by Pspice simulations. In this paper, we investigate CFOA-based Chua's circuit by constructing an experimental setup, and testing the performance of the proposed implementation at different frequencies. Its excellent high frequency performance was experimentally verified.

FLUCTUATIONS IN THE STATE OF CHAOS-CHAOS INTERMITTENCY OF CHUA’S CIRCUIT

1995 ◽  
Vol 05 (01) ◽  
pp. 271-273
Author(s):  
M. KOCH ◽  
R. TETZLAFF ◽  
D. WOLF
Keyword(s):  
Power Spectrum ◽  
Initial Conditions ◽  
Piecewise Linear ◽  
The State ◽  
Circuit Parameter ◽  
Chua’S Circuit ◽  
External Excitation ◽  
Chua's Circuit ◽  
Parameter Values

We studied the power spectrum of the normalized voltage across the capacitor parallel to a piecewise-linear resistor of Chua’s circuit in the “chaos-chaos intermittency” state [Anishchenko et al., 1992]. The investigations included various initial conditions and circuit parameter values without and with external excitation. In all cases we found spectra showing a 1/ω2-decay over more than four decades.

Experimental study of stochastic resonance in a Chua’s circuit operating in a chaotic regime

2006 ◽  
Vol 219 (1) ◽  
pp. 93-100 ◽  
Author(s):  
Wojciech Korneta ◽  
Iacyel Gomes ◽  
Claudio R. Mirasso ◽  
Raúl Toral
Keyword(s):  
Experimental Study ◽  
Stochastic Resonance ◽  
Chaotic Regime ◽  
Chua’S Circuit ◽  
Chua's Circuit

scholarly journals ESTIMATING PROBABILITY DENSITY FUNCTIONS AND ENTROPIES OF CHUA'S CIRCUIT USING B-SPLINE FUNCTIONS

2012 ◽  
Vol 22 (05) ◽  
pp. 1250107 ◽  
Author(s):  
F. A. SAVACI ◽  
M. GÜNGÖR
Keyword(s):  
Probability Density ◽  
Probability Density Functions ◽  
The State ◽  
Spline Functions ◽  
Density Estimator ◽  
Density Functions ◽  
Bifurcation Parameter ◽  
Chua’S Circuit ◽  
B Spline ◽  
Chua's Circuit

In this paper, first the probability density functions (PDFs) of the states of Chua's circuit have been estimated using B-spline functions and then the state entropies of Chua's circuit with respect to the bifurcation parameter have been obtained. The results of the proposed B-spline density estimator have been compared with the results obtained from the Parzen density estimator.

CHAOTIC DYNAMICS AND SYNCHRONIZATION OF FRACTIONAL-ORDER CHUA'S CIRCUITS WITH A PIECEWISE-LINEAR NONLINEARITY

2005 ◽  
Vol 19 (20) ◽  
pp. 3249-3259 ◽  
Author(s):  
JUN GUO LU
Keyword(s):  
Lyapunov Exponent ◽  
Fractional Order ◽  
Stability Theory ◽  
Chaos Synchronization ◽  
Chaotic Dynamics ◽  
Piecewise Linear ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Synchronization Method ◽  
Simulation Results

In this paper, we numerically investigate the chaotic behaviors of the fractional-order Chua's circuit with a piecewise-linear nonlinearity. We find that chaos exists in the fractional-order Chua's circuit with order less than 3. The lowest order we find to have chaos is 2.7 in the homogeneous fractional-order Chua's circuit and 2.8 in the unhomogeneous fractional-order Chua's circuit. Our results are validated by the existence of a positive Lyapunov exponent. A chaos synchronization method is also presented for synchronizing the homogeneous fractional-order chaotic Chua's systems. The approach, based on stability theory of fractional-order linear systems, is simple and theoretically rigorous. It does not require the computation of the conditional Lyapunov exponents. Simulation results are used to visualize and illustrate the effectiveness of the proposed synchronization method.

EXPERIMENTAL CHAOS SYNCHRONIZATION IN CHUA'S CIRCUIT

1992 ◽  
Vol 02 (03) ◽  
pp. 705-708 ◽  
Author(s):  
LEON O. CHUA ◽  
LJUPCO KOCAREV ◽  
KEVIN ECKERT ◽  
MAKOTO ITOH
Keyword(s):  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Electronic Circuit ◽  
Chaotic Behavior ◽  
Chua’S Circuit ◽  
Chua's Circuit

Several recent papers have investigated the feasibility of synchronization of chaotic systems. Experimentally one of the easiest systems to control and synchronize is the electronic circuit. This paper examines synchronization in Chua's Circuit, proven to be the simplest electronic circuit to exhibit chaotic behavior.

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