Competitive interplay of repulsive coupling and cross-correlated noises in bistable systems

2021 ◽  
Vol 31 (6) ◽  
pp. 061106
Author(s):  
Manaoj Aravind ◽  
Sudeshna Sinha ◽  
P. Parmananda
Keyword(s):  
Bistable Systems ◽  
Correlated Noises

scholarly journals Stochastic Resonance in Bistable Systems: The Effect of Simultaneous Additive and Multiplicative Correlated Noises

1998 ◽  
Vol 12 (28) ◽  
pp. 1195-1202 ◽  
Author(s):  
Claudio J. Tessone ◽  
Horacio S. Wio
Keyword(s):  
Stochastic Resonance ◽  
Noise Intensity ◽  
Additive Noise ◽  
Signal To Noise Ratio ◽  
Bistable System ◽  
Signal To Noise ◽  
Multiplicative Noises ◽  
Bistable Systems ◽  
Resonance Response ◽  
Correlated Noises

We analyze the effect of the simultaneous presence of correlated additive and multiplicative noises on the stochastic resonance response of a modulated bistable system. We find that when the correlation parameter is also modulated, the system's response, measured through the output signal-to-noise ratio, becomes largely independent of the additive noise intensity.

DYNAMIC RESPONSE AND NOISE SUSCEPTIBILITY OF c.w. BISTABLE SYSTEMS

1988 ◽  
Vol 49 (C2) ◽  
pp. C2-161-C2-164
Author(s):  
H. A. MacKENZIE ◽  
J. YOUNG ◽  
A. ILTAIF ◽  
J. HUGHES
Keyword(s):  
Dynamic Response ◽  
Bistable Systems ◽  
Noise Susceptibility

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 Optimal Linear Estimators for Time-Delay Systems with Fading Measurements and Correlated Noises

2018 ◽  
Vol 2018 ◽  
pp. 1-10
Author(s):  
Yazhou Li ◽  
Jiayi Li ◽  
Xin Wang
Keyword(s):  
Time Delay ◽  
Minimum Variance ◽  
Delay Systems ◽  
Multiplicative Noises ◽  
Linear Estimators ◽  
Discrete Linear Systems ◽  
Estimation Problems ◽  
Optimal Linear ◽  
State Augmentation ◽  
Correlated Noises

The optimal linear estimation problems are investigated in this paper for a class of discrete linear systems with fading measurements and correlated noises. Firstly, the fading measurements occur in a random way where the fading probabilities are regulated by probability mass functions in a given interval. Furthermore, time-delay exists in the system state and observation simultaneously. Additionally, the multiplicative noises are considered to describe the uncertainty of the state. Based on the projection theory, the linear minimum variance optimal linear estimators, including filter, predictor, and smoother are presented in the paper. Compared with conventional state augmentation, the new algorithm is finite-dimensionally computable and does not increase computational and storage load when the delay is large. A numerical example is provided to illustrate the effectiveness of the proposed algorithms.

Event based estimation with correlated noises

2019 ◽  
Vol 356 (13) ◽  
pp. 7533-7547 ◽  
Author(s):  
Shaikshavali Chitraganti ◽  
Samir Abkerane
Keyword(s):  
Event Based ◽  
Correlated Noises

scholarly journals Stochastic resonance in underdamped, bistable systems

2006 ◽  
Vol 353 (5) ◽  
pp. 364-371 ◽  
Author(s):  
Rajarshi Ray ◽  
Supratim Sengupta
Keyword(s):  
Stochastic Resonance ◽  
Bistable Systems
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