Phys. Rev. A 41, 1172 - 1174 (1990)Multiplicative noise and homoclinic crossing: Chaos |
PRL Celebrates 50 Years
This Week's Milestone Letters are from 1981: |
W. C. Schieve and A. R. Bulsara
Materials Research Branch, Naval Ocean Systems Center, San Diego, California 92152
Received 7 September 1989
We consider here the effect of noise on homoclinic crossing. It is shown, by means of a stochastic Melnikov function, that the noise may, on the average, suppress and, in the case considered here, induce homoclinic crossing.
©1990 The American Physical Society
URL: http://link.aps.org/abstract/PRA/v41/p1172
DOI: 10.1103/PhysRevA.41.1172
PACS: 05.45.+b
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