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Dynamics of the generalized M set on escape-line diagram

Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2008-12-01

Journal: APPLIED MATHEMATICS AND COMPUTATION

Included Journals: Scopus、EI、SCIE

Volume: 206

Issue: 1

Page Number: 474-484

ISSN: 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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