Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps

Wu, Guo-Cheng; Baleanu, Dumitru

dc.contributor.author	Wu, Guo-Cheng
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2017-04-18T10:47:48Z
dc.date.available	2017-04-18T10:47:48Z
dc.date.issued	2015-05
dc.identifier.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	tr_TR
dc.identifier.issn	1007-5704
dc.identifier.uri	http://hdl.handle.net/20.500.12416/1522
dc.description.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	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Elsevier Science Bv	tr_TR
dc.relation.isversionof	10.1016/j.cnsns.2014.06.042	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	Discrete Fractional Calculus	tr_TR
dc.subject	Lyapunov Exponent	tr_TR
dc.subject	Symbolic Computation	tr_TR
dc.title	Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Communications In Nonlinear Science And Numerical Simulation	tr_TR
dc.identifier.volume	22	tr_TR
dc.identifier.issue	1-3	tr_TR
dc.identifier.startpage	95	tr_TR
dc.identifier.endpage	100	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü	tr_TR