Jacobian Matrix Algorithm for Lyapunov Exponents of the Discrete Fractional Maps
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Date
2015
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Open Access Color
Green Open Access
No
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No
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Impulse
Top 10%
Influence
Top 10%
Popularity
Top 1%
Abstract
The Jacobian matrix algorithm is often used to calculate the Lyapunov exponents of the chaotic systems. This study extends the algorithm to discrete fractional cases. The tangent maps with memory effect are presented. The Lyapunov exponents of one and two dimensional fractional logistic maps are calculated. The positive ones are used to distinguish the chaotic areas of the maps. (C) 2014 Elsevier B.V. All rights reserved.
Description
Wu, Guo-Cheng/0000-0002-1946-6770
ORCID
Keywords
Discrete Fractional Calculus, Lyapunov Exponent, Symbolic Computation, Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.), Numerical nonlinear stabilities in dynamical systems, discrete fractional calculus, Lyapunov exponent, symbolic computation
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Wu, G.C., Baleanu, D. (2015). Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps. Communications In Nonlinear Science And Numerical Simulation, 22(1-3), 95-100. http://dx.doi.org/10.1016/j.cnsns.2014.06.042
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
147
Source
Communications in Nonlinear Science and Numerical Simulation
Volume
22
Issue
1-3
Start Page
95
End Page
100
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Citations
CrossRef : 63
Scopus : 167
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Mendeley Readers : 19
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176
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163
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4
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