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

CHUA’S CIRCUIT: AN OVERVIEW TEN YEARS LATER

1994 ◽  
Vol 04 (02) ◽  
pp. 117-159 ◽  
Author(s):  
LEON O. CHUA
Keyword(s):  
Secure Communication ◽  
Vector Fields ◽  
Piecewise Linear ◽  
International Workshop ◽  
Noise Spectrum ◽  
Chaotic Regime ◽  
Practical Significance ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
New Phenomena

More than 200 papers, two special issues (Journal of Circuits, Systems, and Computers, March, June, 1993, and IEEE Trans. on Circuits and Systems, vol. 40, no. 10, October, 1993), an International Workshop on Chua’s Circuit: chaotic phenomena and applica tions at NOLTA’93, and a book (edited by R.N. Madan, World Scientific, 1993) on Chua’s circuit have been published since its inception a decade ago. This review paper attempts to present an overview of these timely publications, almost all within the last six months, and to identify four milestones of this very active research area. An important milestone is the recent fabrication of a monolithic Chua’s circuit. The robustness of this IC chip demonstrates that an array of Chua’s circuits can also be fabricated into a monolithic chip, thereby opening the floodgate to many unconventional applications in information technology, synergetics, and even music. The second milestone is the recent global unfolding of Chua’s circuit, obtained by adding a linear resistor in series with the inductor to obtain a canonical Chua’s circuit— now generally referred to as Chua’s oscillator. This circuit is most significant because it is structurally the simplest (it contains only 6 circuit elements) but dynamically the most complex among all nonlinear circuits and systems described by a 21-parameter family of continuous odd-symmetric piecewise-linear vector fields. The third milestone is the recent discovery of several important new phenomena in Chua’s circuits, e.g., stochastic resonance, chaos-chaos type intermittency, 1/f noise spectrum, etc. These new phenomena could have far-reaching theoretical and practical significance. The fourth milestone is the theoretical and experimental demonstration that Chua’s circuit can be easily controlled from a chaotic regime to a prescribed periodic or constant orbit, or it can be synchronized with 2 or more identical Chua’s circuits, operating in an oscillatory, or a chaotic regime. These recent breakthroughs have ushered in a new era where chaos is deliberately created and exploited for unconventional applications, e.g. secure communication.

STOCHASTIC RESONANCE IN CHUA’S CIRCUIT DRIVEN BY AMPLITUDE OR FREQUENCY MODULATED SIGNALS

1994 ◽  
Vol 04 (02) ◽  
pp. 441-446 ◽  
Author(s):  
V.S. ANISHCHENKO ◽  
M.A. SAFONOVA ◽  
L.O. CHUA
Keyword(s):  
Numerical Simulation ◽  
Stochastic Resonance ◽  
Signal To Noise Ratio ◽  
Point Of View ◽  
Chua’S Circuit ◽  
Signal Distortion ◽  
Signal To Noise ◽  
Chua's Circuit ◽  
Noise Ratio ◽  
Modulated Signals

Using numerical simulation, we establish the possibility of realizing the stochastic resonance (SR) phenomenon in Chua’s circuit when it is excited by either an amplitude-modulated or a frequency-modulated signal. It is shown that the application of a frequency-modulated signal to a Chua’s circuit operating in a regime of dynamical intermittency is preferable over an amplitude-modulated signal from the point of view of minimizing the signal distortion and maximizing the signal-to-noise ratio (SNR).

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.

An experimental study on SC-CNN based canonical Chua’s circuit

2012 ◽  
Vol 71 (3) ◽  
pp. 505-514 ◽  
Author(s):  
P. S. Swathy ◽  
K. Thamilmaran
Keyword(s):  
Experimental Study ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Canonical Chua’S Circuit

The analysis of chaotic regimes in Chua’s circuit with smooth nonlinearity based on the matrix decomposition method

2019 ◽  
Vol 63 (4) ◽  
pp. 501-512
Author(s):  
A. M. Krot ◽  
U. A. Sychou
Keyword(s):  
Simulation Model ◽  
State Space ◽  
Decomposition Method ◽  
Matrix Decomposition ◽  
Chaotic Regime ◽  
Chua’S Circuit ◽  
Electric Circuits ◽  
Chua's Circuit ◽  
The Matrix ◽  
Matrix Series

The scope of this work are electric circuits or electronic devices with chaotic regimes, in particular the Chua’s circuit. A nonlinear analysis of chaotic attractors based on the Krot’s method of matrix decomposition of vector functions in state-space of complex systems has been used to investigate the Chua’s circuit with smooth nonlinearity. It includes an analysis of linear term of the matrix series as well as an estimation of influence of high order terms of this series on stability of complex system under investigation. Here the method of matrix decomposition has been applied to analysis of the Chua’s attractor. The terms of matrix series have been used to create a simulation model and to reconstruct an attractor of chaotic modes. The proposed simulation model makes it possible to separate an influence of nonlinearities on forming a chaotic regime of the Chua’s circuit. Usage of both the matrix decomposition method and computational experiment has allowed us to find out that the initial turbulence model proposed by L. D. Landau is suitable for set-up description of the chaotic regime of the Chua’s circuit. It is shown that a mode of hard self-excitation in the Chua’s circuit leads to its chaotic regime operating with a double-scroll attractor in the state-space. The results might be used to generate of chaotic oscillations or data encryption. 

STOCHASTIC RESONANCE IN THE NONAUTONOMOUS CHUA'S CIRCUIT

1993 ◽  
Vol 03 (02) ◽  
pp. 553-578 ◽  
Author(s):  
V. S. ANISHCHENKO ◽  
M. A. SAFONOVA ◽  
L. O. CHUA
Keyword(s):  
Stochastic Resonance ◽  
Signal To Noise Ratio ◽  
Modulation Frequency ◽  
External Noise ◽  
Statistical Characteristics ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Coherent Interaction ◽  
Parameter Variations ◽  
Dynamics Method

The dynamics of the nonautonomous Chua's circuit driven by a sinusoidal signal and additive noise is investigated numerically via the "two-state" dynamics method. The possibility of realizing the phenomenon of stochastic resonance (SR) is established. The SR is characterized by an increase in the signal-to-noise ratio (SNR) due to the coherent interaction between the characteristic frequencies of the chaotic bistable Chua's circuit and the modulation frequency of the input. The SNR can be controlled by both external noise and system parameter variations in this circuit. The statistical characteristics of the "chaos-chaos" type intermittency and their correlation with the optimal conditions for SR are investigated.

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

STOCHASTIC RESONANCE IN CHUA'S CIRCUIT

1993 ◽  
pp. 281-289 ◽  
Author(s):  
V. S. ANISHCHENKO ◽  
M. A. SAFONOVA ◽  
L. O. CHUA
Keyword(s):  
Stochastic Resonance ◽  
Chua’S Circuit ◽  
Chua's Circuit

STOCHASTIC RESONANCE IN CHUA’S CIRCUIT

1992 ◽  
Vol 02 (02) ◽  
pp. 397-401 ◽  
Author(s):  
V.S. ANISHCHENKO ◽  
M.A. SAFONOVA ◽  
L.O. CHUA
Keyword(s):  
Stochastic Resonance ◽  
Chaotic Systems ◽  
Electronic Circuit ◽  
Physical Mechanism ◽  
Sinusoidal Signal ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
System Parameters ◽  
Coherent Interaction ◽  
Chaotic Electronic Circuit

In this paper, we report numerical observations of the stochastic resonance (SR) phenomenon in a bistable chaotic electronic circuit (namely, Chua’s circuit) driven simultaneously by noise and a sinusoidal signal. It is shown that the noise-induced “chaos-chaos” type intermittency is a physical mechanism of the SR-phenomenon in chaotic systems. The resulting amplification of the sinusoidal signal intensity is due to a coherent interaction of three characteristic frequencies of the system. The SR-phenomenon can be controlled by a variation of either the noise intensity or the system parameters in the absence of noise.

scholarly journals Experimental study on chaotic behaviors of a Chua’s circuit based on variable memristor

2015 ◽  
Vol 12 (15) ◽  
pp. 20150457-20150457 ◽  
Author(s):  
Boo Kang Kim ◽  
Van Ha Nguyen ◽  
Nam Tae Kim ◽  
Han Jung Song
Keyword(s):  
Experimental Study ◽  
Chua’S Circuit ◽  
Chua's Circuit
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