Chaos in Chen's system with a fractional order
Tài liệu tham khảo
Butzer, 2000, An introduction to fractional calculus, 1
Podlubny, 1999
Samko, 1993
Caputo, 1967, Linear models of dissipation whose Q is almost frequency independent, II, Geophys. J. R. Astron. Soc., 13, 529, 10.1111/j.1365-246X.1967.tb02303.x
Chen, 1999, Yet another chaotic attractor, Int. J. Bifurc. Chaos, 9, 1465, 10.1142/S0218127499001024
Diethelm, 1997, An algorithm for the numerical solution of differential equations of fractional order, Elec. Trans. Numer. Anal., 5, 1
Diethelm, 2002, Analysis of fractional differential equations, J. Math. Anal. Appl., 265, 229, 10.1006/jmaa.2000.7194
Diethelm, 2002, A predictor–corrector approach for the numerical solution of fractional differential equations, Nonlinear Dyn., 29, 3, 10.1023/A:1016592219341
Diethelm, 1999, The FracPECE subroutine for the numerical solution of differential equations of fractional order, 57
Sato, 1987, Practical methods of measuring the generalized dimension and the largest Lyapunov exponent in high dimensional chaotic system, Prog. Theor. Phys., 77, 1, 10.1143/PTP.77.1
Rosenstein, 1993, A practical method for calculating largest Lyapunov exponents from small data sets, Phys. D, 65, 117, 10.1016/0167-2789(93)90009-P
Rosenstein, 1994, Reconstruction expansion as a geometry-based framework for choosing delay times, Phys. D, 73, 82, 10.1016/0167-2789(94)90226-7
Charef, 1993, Fractional systems as represented by singularity function, IEEE Trans. Auto Control, 37, 1465, 10.1109/9.159595