BIFURCATIONAL ANALYSIS OF BISTABLE SYSTEM EXCITED BY COLORED NOISE

被引:12
作者
Anishchenko, V. S. [1 ]
Neiman, A. B. [1 ]
机构
[1] Saratov State Univ, Dept Phys, Astrachanskaya 83, Saratov 410071, Russia
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1992年 / 2卷 / 04期
关键词
D O I
10.1142/S0218127492000574
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The appearance of a hole in the two-dimensional probability density of a bistable system excited by colored noise is investigated. To analyze the phenomenon, a cumulant analysis is used. In the Gaussian approximation, it was shown that the hole formation corresponded to the bifurcation "saddle-node-repeller" of the state of equilibrium in the system of cumulant equations.
引用
收藏
页码:979 / 982
页数:4
相关论文
共 15 条
[1]   HOLES IN THE 2-DIMENSIONAL PROBABILITY DENSITY OF BISTABLE SYSTEMS DRIVEN BY STRONGLY COLORED NOISE [J].
DEBNATH, G ;
MOSS, F ;
LEIBER, T ;
RISKEN, H ;
MARCHESONI, F .
PHYSICAL REVIEW A, 1990, 42 (02) :703-710
[2]  
EBELING W, 1989, NOISE NON D, V1, P279
[3]   STOCHASTIC CALCULUS IN PHYSICS [J].
FOX, RF .
JOURNAL OF STATISTICAL PHYSICS, 1987, 46 (5-6) :1145-1157
[4]   BISTABLE OSCILLATOR DYNAMICS DRIVEN BY NONWHITE NOISE [J].
FRONZONI, L ;
GRIGOLINI, P ;
HANGGI, P ;
MOSS, F ;
MANNELLA, R ;
MCCLINTOCK, PVE .
PHYSICAL REVIEW A, 1986, 33 (05) :3320-3327
[5]   ESCAPE DRIVEN BY STRONGLY CORRELATED NOISE [J].
HANGGI, P ;
JUNG, P ;
MARCHESONI, F .
JOURNAL OF STATISTICAL PHYSICS, 1989, 54 (5-6) :1367-1380
[6]  
HANGGI P, 1989, NOISE NON D, V1, P307
[7]   ORDINARY DIFFERENTIAL-EQUATIONS FOR NONLINEAR STOCHASTIC OSCILLATORS [J].
JUST, W ;
SAUERMANN, H .
PHYSICS LETTERS A, 1988, 131 (4-5) :234-238
[8]   COLORED NOISE AND BISTABLE FOKKER-PLANCK EQUATIONS [J].
LEIBER, T ;
MARCHESONI, F ;
RISKEN, H .
PHYSICAL REVIEW LETTERS, 1987, 59 (13) :1381-1384
[9]  
Malakhov A. N., 1978, CUMULANT ANAL RANDOM
[10]   COMMENT ON MEAN 1ST PASSAGE TIME CALCULATIONS FOR COLORED NOISE DRIVEN BISTABLE SYSTEMS [J].
MARCHESONI, F ;
MOSS, F .
PHYSICS LETTERS A, 1988, 131 (06) :322-325