Periodic and aperiodic force-induced logical stochastic resonance in a bistable system

2020 ◽  
Vol 30 (7) ◽  
pp. 073125
Author(s):  
Yuangen Yao ◽  
Guanghui Cheng ◽  
Rong Gui
Keyword(s):  
Stochastic Resonance ◽  
Bistable System ◽  
Logical Stochastic Resonance

scholarly journals Achieving high bit rate logical stochastic resonance in a bistable system by adjusting parameters

2015 ◽  
Vol 24 (11) ◽  
pp. 110502 ◽  
Author(s):  
Ding-Xin Yang ◽  
Feng-Shou Gu ◽  
Guo-Jin Feng ◽  
Yong-Min Yang ◽  
Andrew Ball
Keyword(s):  
Stochastic Resonance ◽  
Bistable System ◽  
Bit Rate ◽  
Logical Stochastic Resonance ◽  
High Bit Rate

When noise-free logical stochastic resonance occurs in a bistable system

2016 ◽  
Vol 87 (3) ◽  
pp. 1957-1965 ◽  
Author(s):  
Bo Yang ◽  
Xiao Zhang ◽  
Mao-Kang Luo
Keyword(s):  
Stochastic Resonance ◽  
Bistable System ◽  
Logical Stochastic Resonance

Effect of Static Bifurcation on Logical Stochastic Resonance in a Symmetric Bistable System

2021 ◽  
Vol 31 (16) ◽  
Author(s):  
Shengping Huang ◽  
Jianhua Yang ◽  
Huayu Liu ◽  
Miguel A. F. Sanjuán
Keyword(s):  
Stochastic Resonance ◽  
Constant Term ◽  
Bistable System ◽  
Periodic Signal ◽  
Bias Parameter ◽  
Saddle Node Bifurcation ◽  
Logical Stochastic Resonance ◽  
Saddle Node ◽  
Key Factor ◽  
Periodic Signals

In previous research works, logical stochastic resonance (LSR) was reported to frequently occur in an asymmetric bistable system, where the bias parameter is the key factor to make the LSR appear. In this work, we investigate the effect of different anharmonic periodic signals on the pitchfork and saddle-node bifurcations in a symmetric bistable system. We focus on the relationship between the static bifurcation and LSR. We use both numerical and circuit simulations to analyze some interesting phenomena. Like the bias parameter, some anharmonic periodic signals also break the symmetry of the symmetric bistable system and lead to the saddle-node bifurcation. The anharmonic periodic signal with a constant term in its expanded Fourier series induces a reliable LSR in the symmetric bistable system. The key factor of LSR is the saddle-node bifurcation which implies the asymmetry of the system. Here, we replace the bias parameter by choosing an anharmonic periodic signal and make the LSR occur in a different way.

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