Dabke, N. S. ; Kulkarni, B. D. ; Doraiswamy, L. K. (1986) Stochastic analysis of model reaction system: the occurrence of noise induced transitions Chemical Engineering Science, 41 (4). pp. 891-898. ISSN 0009-2509
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/000925...
Related URL: http://dx.doi.org/10.1016/0009-2509(86)87172-X
Abstract
The present communication analyses the influence of noise on a model system which exhibits limit cycle, monostability and bistability behavior when some external parameter such as flow rate changes. In each of these regions, the role of noise is to create a unique unstable state around which the system oscillates. In general, the intensity of the noise tends to increase the amplitude of oscillations, while the time-correlation effects tend to restore the system to its original conditions. This simple model system illustrates the possibility of noise-induced transitions from monostable and bistable states to oscillatory state.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Brusselator; Bistability; External Noise; Fokker-Planck Equation; Langevin Equation; Noise Induced Transitions; Oscillations; Stochastic Analysis |
| ID Code: | 22813 |
| Deposited On: | 24 Nov 2010 08:30 |
| Last Modified: | 31 May 2011 05:48 |
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