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.

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).

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.

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

STOCHASTIC AND COHERENCE RESONANCES IN A MODIFIED CHUA'S CIRCUIT SYSTEM WITH MULTI-SCROLL ORBITS

2013 ◽  
Vol 23 (08) ◽  
pp. 1350132 ◽  
Author(s):  
S. ARATHI ◽  
S. RAJASEKAR ◽  
J. KURTHS
Keyword(s):  
Signal To Noise Ratio ◽  
Equilibrium Points ◽  
Relative Width ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
At Resonance ◽  
Characteristic Features ◽  
Dominant Peak ◽  
Periodic Switching

We numerically investigate the role of the number of equilibrium points (N) on characteristic features of stochastic and coherence resonances in a modified Chua's circuit model equation capable of generating multi-scroll orbits. Both types of resonances are found for 1 < N ≤ 20. Almost periodic switching between the scroll orbits is observed at resonance. The values of the signal-to-noise ratio (used to quantify stochastic resonance), the autocorrelation function and the ratio of the dominant peak and its relative width in the power spectrum of the output signal (used to characterize coherence resonance) at resonance increase with N, reaching a maximum at N = 6 and then decrease. The mean residence time of a scroll orbit at resonance decreases rapidly with N. We show that both resonances in the multi-scroll orbits can be useful for weak signal detection.

STOCHASTIC RESONANCE AND TIME ADVANCE CODING IN CHEMICAL REACTIONS

1996 ◽  
Vol 07 (04) ◽  
pp. 385-391 ◽  
Author(s):  
A. FÖRSTER ◽  
A. GUDERIAN ◽  
K.-P. ZEYER ◽  
G. DECHERT ◽  
F.W. SCHNEIDER
Keyword(s):  
Stochastic Resonance ◽  
Chemical Reactions ◽  
Signal To Noise Ratio ◽  
External Noise ◽  
Sinusoidal Signal ◽  
Excitation Threshold ◽  
Bz Reaction ◽  
Stochastic Fluctuations ◽  
Sinusoidal Flow ◽  
Pass Through

Stochastic Resonance (SR) is a phenomenon wich may be found in nonlinear systems close to an excitation threshold. SR is a means for enhancing a weak periodic subthreshold signal from its noisy background by adding stochastic fluctuations, i.e. in biological and physical systems. It has been proposed that SR is important for the ability of neural systems to detect weak periodic signals. In the present work we show experimentally that SR occurs in two nonlinear chemical reactions, namely in the enzymatic Peroxidase-Oxidase (PO) reaction and in the Belousov–Zhabotinskii (BZ) reaction. A small sinusoidal signal with increasing noise is imposed on the focal steady state near a subcritical Hopf bifurcation. When the threshold is crossed beyond a certain noise amplitude, the system responds with spikes. The resulting interspike histogram and the plot of the signal to noise ratio, which is evaluated from the respective Fourier spectra, pass through a maximum at an optimal external noise level. An alternative way to cross the excitation threshold without noise is the variation of the bias value of the sinusoidal signal. The variation of the bias value causes the spikes to appear earlier if the sinusoidal function is moved closer towards the threshold. This so-called time advance coding is shown experimentally for the first time in the BZ reaction by imposing sinusoidal flow rate variations using different bias values. The phenomenon has been proposed by Hopfield11 to be a means for analog pattern recognition.

CHAOS-CHAOS INTERMITTENCY AND 1/f NOISE IN CHUA’S CIRCUIT

1994 ◽  
Vol 04 (01) ◽  
pp. 99-107 ◽  
Author(s):  
V.S. ANISHCHENKO ◽  
A.B. NEIMAN ◽  
L.O. CHUA
Keyword(s):  
Numerical Simulation ◽  
Time Series ◽  
Computer Calculation ◽  
External Noise ◽  
Simulation Methods ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Process Characteristics ◽  
Numerical Simulation Methods ◽  
Dynamical Properties

Statistical and dynamical properties of the “chaos-chaos” type intermittency in Chua’s circuit are studied by numerical simulation methods. It is shown that at the onset of this intermittency phenomenon, the power spectrum of the associated time series has the shape of 1/f noise. The influence of external noise and computer calculation errors on the form of the spectrum and other process characteristics are analyzed. The structure and scaling of the Poincaré map at the transition threshold are also discussed.

scholarly journals Stochastic resonance in periodically driven bistable systems subjected to anomalous diffusion

2021 ◽  
Vol 3 (4) ◽  
Author(s):  
F. Naha Nzoupe ◽  
Alain M. Dikandé
Keyword(s):  
Stochastic Resonance ◽  
Signal To Noise Ratio ◽  
Planck Equation ◽  
Relevant Information ◽  
Periodic Signal ◽  
Signal To Noise ◽  
Periodically Driven ◽  
Loop Area ◽  
Bistable Systems ◽  
Noise Ratio

AbstractThe occurrence of stochastic resonance in bistable systems undergoing anomalous diffusions, which arise from density-dependent fluctuations, is investigated with an emphasis on the analytical formulation of the problem as well as a possible analytical derivation of key quantifiers of stochastic resonance. The nonlinear Fokker–Planck equation describing the system dynamics, together with the corresponding Ito–Langevin equation, is formulated. In the linear response regime, analytical expressions of the spectral amplification, of the signal-to-noise ratio and of the hysteresis loop area are derived as quantifiers of stochastic resonance. These quantifiers are found to be strongly dependent on the parameters controlling the type of diffusion; in particular, the peak characterizing the signal-to-noise ratio occurs only in close ranges of parameters. Results introduce the relevant information that, taking into consideration the interactions of anomalous diffusive systems with a periodic signal, can provide a better understanding of the physics of stochastic resonance in bistable systems driven by periodic forces.

scholarly journals On the Performance Analysis of Switched Diversity Combining Receivers over Fisher–Snedecor ℱ Composite Fading Channels

Sensors ◽  
2021 ◽  
Vol 21 (9) ◽  
pp. 3014
Author(s):  
Weijun Cheng ◽  
Xiaoting Wang ◽  
Tengfei Ma ◽  
Gang Wang
Keyword(s):  
Fading Channels ◽  
Error Probability ◽  
Signal To Noise Ratio ◽  
Multipath Fading ◽  
Performance Criteria ◽  
Statistical Characteristics ◽  
Diversity Combining ◽  
Systematic Analysis ◽  
Average Bit Error Probability ◽  
Switched Diversity Combining

In some emerging wireless applications, such as wearable communication and low-power sensor network applications, wireless devices or nodes not only require simple physical implementation approaches but also require certain reliable receiver techniques to overcome the effects of multipath or shadowed fading. Switched diversity combining (SDC) systems could be a simple and promising solution to the above requirements. Recently, a Fisher–Snedecor ℱ composited fading model has gained much interest because of its modeling accuracy and calculation tractability. However, the performance of SDC systems over ℱ fading channels has not yet been analyzed in the open literature. To this end, this paper presents a systematic analysis of SDC systems over ℱ fading channels, including dual-branch switch-and-stay combining (SSC), multibranch switch-and examine combining (SEC), and SEC with post-examining selection (SECps) systems. We first investigate the statistical characteristics of univariate and bivariate ℱ distributions. Then, these statistical expressions are introduced into the above SDC systems and the statistical metrics of the output signal-to-noise ratio (SNR) for these systems are deduced in different ℱ fading scenarios. Thirdly, certain exact and novel expressions of performance criteria, such as the outage probability, the average bit error probability and average symbol error probability, as well as the average channel capacity for SSC, SEC, and SECps are derived. To find the optimum performance, optimal analysis is performed for the independent and identically distributed cases. Finally, numerical evaluation and simulations are carried out to demonstrate the validity of the theoretical analysis under various ℱ fading scenarios. According to the obtained results, the multipath fading parameter has more influence on the performance of SDC systems than the shadowing parameter, the correlation coefficient, or the average SNR. Importantly, the SDC systems can provide switched diversity gains only when the switching threshold is not too large or too small compared to the average SNR.

Sign in / Sign up

Export Citation Format

Share Document