Baleanu, DumitruWu, Guo-Cheng02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2017-04-182025-09-182017-04-182025-09-182015Wu, 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.2014.06.0421007-57041878-7274https://doi.org/10.1016/j.cnsns.2014.06.042https://hdl.handle.net/123456789/11217Wu, Guo-Cheng/0000-0002-1946-6770The 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.eninfo:eu-repo/semantics/closedAccessDiscrete Fractional CalculusLyapunov ExponentSymbolic ComputationArticle10.1016/j.cnsns.2014.06.0422-s2.0-85027943162