New characteristic relations in type-II and III intermittency

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
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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