Characteristic Relations of Type-III Intermittency in an Electronic Circuit

Details Characteristic Relations of Type-III Intermittency in an Electronic Circuit Characteristic Relations of Type-III Intermittency in an Electronic Circuit

1998-05-14

arxiv.org/abs/chao-dyn/9805014v1

Nonlinear Sciences

Chaotic Dynamics

11 pages, 5 figures. to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.80.5317

It is reported that the characteristic relations of type-II and type-III intermittencies, with respective local Poincar$\acute{e}$ maps of $x_{n+1}= (1+\epsilon)x_n + a x^3_n$ and $x_{n+1}= - (1+\epsilon)x_n - a x^3_n$, are both $- ln (\epsilon)$ under the assumption of uniform reinjection probability. However, the intermittencies have various characteristic relations such as $\epsilon^{-\nu}$ ($1/2 \leq \nu \leq 1$) depending on the reinjection probability. In this Letters the various characteristic relations are discussed, and the $\epsilon^{-1/2}$ characteristic relation is obtained experimentally in an electronic circuit, with uniform reinjection probability.

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