期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 22, 期 1-3, 页码 95-100出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2014.06.042
关键词
Discrete fractional calculus; Lyapunov exponent; Symbolic computation
类别
资金
- National Natural Science Foundation of China [11301257]
- Seed Funds for Major Science and Technology Innovation Projects of Sichuan Provincial Education Department [14CZ0026]
- Innovative Team Program of the Neijiang Normal University [13TD01]
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.
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