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Dynamics of the generalized M set on escape-line diagram

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Indexed by:期刊论文

Date of Publication:2008-12-01

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:SCIE、EI、Scopus

Volume:206

Issue:1

Page Number:474-484

ISSN No.:0096-3003

Key Words:Bifurcation diagram; Escape-line algorithm; Generalized M set; Period; Fractal

Abstract:The basic contour diagrams of the M set are briefly reviewed. With the method combining escape-line diagram of the generalized M sets and bifurcation diagram of a family of one-dimensional maps, the dynamics of a family of one-dimensional maps are studied and the graphic method to determine the period of midgets corresponding to the map is given. (c) 2008 Elsevier Inc. All rights reserved.

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