GENERAL |
|
|
|
|
Resonant-Like Activation in a Bistable System with Noise and Time Delay |
NIE Lin-Ru1, GONG Ai-Ling1, MEI Dong-Cheng2 |
1Faculty of Science, Kunming University of Science and Technology, Kunming 6500932Department of Physics, Yunnan University, Kunming 650091 |
|
Cite this article: |
NIE Lin-Ru, GONG Ai-Ling, MEI Dong-Cheng 2009 Chin. Phys. Lett. 26 060504 |
|
|
Abstract A bistable system with noise and time delay is investigated. Theoretical analysis and stochastic simulation show that: (i) In the case of a system driven only by multiplicative Gaussian white noise, the mean first-passage time for a particle to reach the other stable state from one stable state exhibits a minimum with respect to delay time, i.e., a resonant-like activation (RA) phenomenon. (ii) In the action of additive and multiplicative noise, as the additive noise intensity increases, no matter whether a correlation between the two types of noise exists or not, the RA gradually disappears. (iii) The correlation strength between the two types of noise does not influence the existence of the RA.
|
Keywords:
05.40.Ca
02.50.-r
02.60.Cb
|
|
Received: 30 September 2008
Published: 01 June 2009
|
|
PACS: |
05.40.Ca
|
(Noise)
|
|
02.50.-r
|
(Probability theory, stochastic processes, and statistics)
|
|
02.60.Cb
|
(Numerical simulation; solution of equations)
|
|
|
|
|
[1] Millonas M 1996 Noise and Order: The New Synthesis(New York: Springer) [2] Doering C R and Gadoua J C 1992 Phys. Rev. Lett. 69 2318 [3] Mantegna R N and Spagnolo B 2000 Phys. Rev. Lett. 84 3025 Iwaniszewski J, Kaufman I K, McClintock P V E and McKane A J2000 Phys. Rev. E 61 1170. [4] Reimann P 1995 Phys. Rev. E 52 1579 Reimann P 1994 Phys. Rev. E 49 4938 Bier M and Astumian R D 1993 Phys. Rev. Lett. 711649 Z\"{urcher U and Doering C R 1993 Phys. Rev. E 47 3862 [5] Li J H and Han Y X 2006 Phys. Rev. E 74041118 Li J H, Hu B, Xing D Y and Dong J M 1999 Phys. Rev. E 60 6443 Li J H, Xing D Y, Dong J M and Hu B 1999 Phys. Rev. E 60 1324 [6] H\"{anggi P and Riseborough P 1983 Phys. Rev. A 27 3379 Marchi M, Marchesoni F, Gammaitoni L, Menichella S E andSantucci S 1996 Phys. Rev. E 54 3479 Witt A, Neiman A and Kurths J 1997 Phys. Rev. E 55 5050 [7] Zhang X P and Bao J D 2005 Chin. Phys. Lett. 21 283 Wu D J, Cao L and Ke S Z 1994 Phys. Rev. E 502496 [8] Jia Y, Li J R and Chen Y C 1997 Chin. Phys. Lett. 14 245 [9] Jia Y and Li J R 1996 Phys. Rev. E 53 5786 [10] Jia Y and Li J R 1996 Phys. Rev. E 53 5764 [11] Mei D C, Xie C W and Zhang L 2003 Phys. Rev. E 68 051102 [12] Mei D C, Xie G Z, Cao L and Wu D J 1999 Chin. Phys.Lett. 16 327 [13] Mei D C, Xie G Z, Cao L and Wu D J 1999 Phys. Rev.E 59 3880 [14] Xie C W and Mei D C 2003 Chin. Phys. Lett. 20813 [15] Mackey C and Glass L 1977 Science 197 287 [16] Bressoff P C and Coombes S 1997 Phys. Rev. Lett. 78 4665 Kim S, Park S H and Ryn C S 1999 Phys. Rev. Lett. 82 1620 [17] Nie L R and Mei D C 2007 Europhys. Lett. 7920005 [18] Nie L R and Mei D C 2008 Phys. Rev. E 77031107 [19] Huber D and Tsimring L S 2003 Phys. Rev. Lett. 91 260601 Yu J, Dong S H and Lozada C M 2004 Phys. Rev. E 69 056225 Huber D and Tsimring L S 2005 Phys. Rev. E 71036150 [20] Wu D and Zhu S Q 2007 Phys. Lett. A 363 202 [21] Guillouzic S, Heureux I L and Longtin A 1999 Phys.Rev. E 59 3970 [22] Nie L R and Mei D C 2007 Chin. Phys. Lett. 243074 [23] Frank T D 2005 Phys. Rev. E 72 011112 Frank T D 2005 Phys. Rev. E 71 031106 [24] Straonovich R L 1963 Topics in the Theory of RandomNoise (Gordon and Breach, New York) Vol 1 Lindenberg K and West B J 1986 J. Stat. Phys. 42201 Masoliver J, West B J and Lindenberg K 1987 Phys. Rev.A 35 3086 [25] Bao J D 1992 Chin. Phys. Lett. 9 1 [26] Knuth D E 1969 The Art of Computer Programming(Reading, MA: Addison-Wesley) vol 2 [27] Bao J D 2000 Phys. Lett. A 265 244 [28] Li J H and Huang Z Q 1998 Phys. Rev. E 58 139 Bao J D, Hanggi P and Zhuo Y Z 2005 Phys. Rev. E 72 061106 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|