International Journal of Bifurcation and Chaos
Volume 7, Issues 4, 831-836
April 1997
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New characteristic relations in Type-II and III intermittency

M.O. Kima, Hoyun Leea, Chil-Min Kimb, Hyun-Soo PangJohnc, Eok-Kyun Leec, and O.J. Kwond

a Department of Physics, Chungnam National University, Taejon 305-764, Korea
b Department of Physics, Pai Chai University, Taejon, 302-735, Korea
c Department of Chemistry, Korea Advanced Institute of Science and Technology, Taejon, 305-701, Korea
d Department of Science Education, Kongju National University of Education, Kongju, Chungnam, 314-060, Korea

We obtained new characteristic relations in Type-II and III intermittencies according to the reinjection probabilitu 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/sqrt(x), -3/4. On the other hand, if the square root of ¥Ä, which represents the lower bound of reinjection, is much smaller than the control parameter ¥å, i.e. ¥å>>sqrt(¥Ä), critical exponent is always -1, independent of the reinjection probability distribution. Those critical exponents are conformed by numerical simulation study.