New characteristic relations in type-II and III intermittency

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We obtained new characteristic relations in Type-II and III intermittencies according to the reinjection probability distribution. When the reinjection probability distribution is fixed at the lower bound of reinjection, the critical exponents are -1, as is well known. However when the reinjection probability distribution is uniform, the critical exponent is -1/2, and when it is of form 1/root x, -3/4. On the other hand, if the square root of Delta, which represents the lower bound of reinjection, is much smaller than the control parameter epsilon, i.e. epsilon much greater than Delta(1/2), critical exponent is always -1, independent of the reinjection probability distribution. Those critical exponents are confirmed by numerical simulation study.
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Issue Date
1997
Language
ENG
Article Type
Article; Proceedings Paper
Citation

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v.7, no.4, pp.831 - 836

ISSN
0218-1274
DOI
10.1142/S0218127497000613
URI
http://hdl.handle.net/10203/74702
Appears in Collection
CH-Journal Papers(저널논문)
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