Discrete Chaos in Fractional Sine and Standard Maps
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Green Open Access
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Abstract
Fractional standard and sine maps are proposed by using the discrete fractional calculus. The chaos behaviors are then numerically discussed when the difference order is a fractional one. The bifurcation diagrams and the phase portraits are presented, respectively. (C) 2013 Elsevier B.V. All rights reserved.
Description
Wu, Guo-Cheng/0000-0002-1946-6770; Zeng, Shengda/0000-0003-1818-842X
Keywords
Discrete Fractional Calculus, Chaos, Fractional Standard Map, chaos, Simulation of dynamical systems, Fractional ordinary differential equations, fractional standard map, discrete fractional calculus, Strange attractors, chaotic dynamics of systems with hyperbolic behavior
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
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Scopus Q
OpenCitations Citation Count
128
Source
Volume
378
Issue
5-6
Start Page
484
End Page
487
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CrossRef : 47
Scopus : 147
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Mendeley Readers : 27
SCOPUS™ Citations
147
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134
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1
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