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Lagged regression, threshold models, and critical behavior near critical points of chaos

✍ Scribed by Ikuo Matsuba

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 442 KB
Volume: 82
Category: Article
ISSN: 1042-0967
DOI: 10.1002/(sici)1520-6440(199905)82:5<1::aid-ecjc1>3.0.co;2-m

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✦ Synopsis

In the vicinity of the critical point of chaos as the accumulation point of period doubling bifurcations, the characteristic index is closely related to the bifurcation structure. Chaos is a typical nonlinear system, and hence its trajectory cannot be accurately reconstructed. However, qualitative evaluation is possible for the index that characterizes the vicinity of the critical point by a linear approximation model. In this paper, the lagged regression threshold model is used to quantitatively understand the characteristics of chaos, such as the Lyapunov index and the characteristic index.