Band to band hopping in one-dimensional maps

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, , Citation S J Shenker and L P Kadanoff 1981 J. Phys. A: Math. Gen. 14 L23 DOI 10.1088/0305-4470/14/2/001

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1 Dept. of Phys., Univ. of Chicago, Chicago, IL, USA

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0305-4470/14/2/L23

Abstract

One-dimensional maps have chaotic bands which may merge at critical values of the control parameter, a. Just after the merger, one can define a band-to-band hopping time, which diverges as mod a-ac mod -1z/ for a map with a zth-order maximum. Numerical data are presented to support this conclusion.

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