Effect of time-delayed feedback in a bistable system inferred by logic operation

Rong Gui, Jiaxin Li, Yuangen Yao and Guanghui Cheng

Chaos, Solitons & Fractals, 2021, vol. 148, issue C

Abstract: The effect of time delay is inferred by studying the influence of time-delayed feedback on the signal threshold of logic input signal, which reflects the width of the bistable region. Time-delayed positive feedback does not alter the width of the bistable region but increases the switching time. Time-delayed negative feedback leads to decreases in the depth of two potential wells and the width of the bistable region of the system, resulting in instability and oscillation of the system. Then, the parameter plane of the system can be divided into suprathreshold, subthreshold, oscillatory and alternate regions. With increasing time delay and negative feedback intensity, the suprathreshold and oscillatory regions continuously squeeze the middle subthreshold region until they are connected. One part of the oscillatory region is directly connected with the suprathreshold region, while the other part is transiently connected with the alternate region. There is an unstable limit cycle on the directly connected boundary. In the alternate region, the system is sensitive to initial values and system parameters and can enter two potential wells alternately with slight variations in sensitive parameters.

Keywords: Time-delayed feedback; Bistable system; Logical stochastic resonance; Saddle-node bifurcation; Limit cycle (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921003970

DOI: 10.1016/j.chaos.2021.111043

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