Global delay induced transition in a bistable system with multiplicative and additive noises

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• 作者：L. C. Du (1)
  D. C. Mei (1)
  
  1. Department of Physics ; Yunnan University ; Kunming ; 650091 ; China
  
• 关键词：Bistable system ; Global delay ; Transition ; Noise ; 05.40.Ca ; 02.50. ; r
• 刊名：Indian Journal of Physics
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：89
• 期：3
• 页码：267-272
• 全文大小：465 KB
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• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Astronomy
  Astronomy, Astrophysics and Cosmology
  Physics
  
• 出版者：Springer India
• ISSN：0974-9845

文摘

Global time delay is introduced to a bistable system driven by multiplicative and additive noises. Approximation of small delay and numerical simulations are employed to investigate the delay induced transition. The stationary probability distribution function \(P_{st}(x)\) and the first order moment \(\langle x\rangle _{st}\) are derived. Results indicate that with the increase of global time delay, \(P_{st}(x)\) undergoes a transition from a bimodal structure to a unimodal shape and \(\langle x\rangle _{st}\) as a function of the multiplicative noise intensity exhibits suppression-like and resonance-like behavior. For the case of multiplicative noise with delay, \(P_{st}(x)\) undergoes a transition from a monostable to a bistable system. These results illustrate that global delay can control the transition of a bistable system effectively.