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Indexed by:期刊论文

Date of Publication:2015-01-01

Journal:NONLINEAR ANALYSIS-MODELLING AND CONTROL

Included Journals:SCIE、Scopus

Volume:20

Issue:2

Page Number:249-262

ISSN No.:1392-5113

Key Words:period-doubling bifurcation; period window; fractional calculus; predictor-corrector

Abstract:In this paper, a class of chaotic maps with parameter q are introduced and bifurcations and chaos in proposed maps are numerical and analytical studied. Euler method is employed to get the continuous systems corresponding to chaotic maps and the fractional styles in Caputo's definition. Based on that, we finally infer a class of chaotic maps with the Adams-Bashforth-Moulton predictor-corrector method. In the simulation and analysis, we discuss the Logistic map with q and Henon map with q, observe the route from period to chaos and do tests to analyze properties of maps with parameter q.