Deterministic chaos in one-dimensional maps—the period doubling and intermittency routes |
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Authors: | G Ambika K Babu Joseph |
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Institution: | (1) Department of Physics, Cochin University of Science and Technology, 682 022 Cochin, India |
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Abstract: | This paper is a review of the present status of studies relating to occurrence of deterministic chaos and its characterization
in one-dimensional maps. As our primary aim is to introduce the nonspecialists into this fascinating world of chaos we start
from very elementary concepts and give sufficient arguments for clarity of ideas. The two main scenarios during onset of chaos
viz. the period doubling and intermittency are dealt with in detail. Although the logistic map is often discussed by way of
illustration, a few more interesting maps are mentioned towards the end. |
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Keywords: | One-dimensional maps deterministic chaos universality renormalization group multifractals |
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