Discrete Chaos in Fractional Sine and Standard Maps
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Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 1%
Influence
Top 1%
Popularity
Top 1%
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
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
128
Source
Physics Letters A
Volume
378
Issue
5-6
Start Page
484
End Page
487
PlumX Metrics
Citations
CrossRef : 47
Scopus : 139
Captures
Mendeley Readers : 27
SCOPUS™ Citations
146
checked on Feb 26, 2026
Web of Science™ Citations
133
checked on Feb 26, 2026
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