2010, Vol. 27(12): 124701-124701    DOI: 10.1088/0256-307X/27/12/124701
Can We Obtain a Fractional Lorenz System from a Physical Problem?
YANG Fan, ZHU Ke-Qin
Department of Engineering Mechanics, Tsinghua University, Beijing 100084
收稿日期 2010-07-14  修回日期 1900-01-01
Supporting info
[1] Lorenz E N 1963 J. Atmos. Sci. 20 130
[2] Tritton D J 1988 Physical Fluid Dynamics (Oxford: Clarendon)
[3] Yang F and Zhu K-Q 2010 Chin. Phys. Lett. 27 034601
[4] Grigorenko I et al 2003 Phys. Rev. Lett. 91 034101
[5] Hilfer R 2000 Applications of Fractional Calculus in Physics (Singapore: World Scientific)
[6] Schiessel H et al 1995 J. Phys. A 28 6567
[7] Friedrich C 1991 Rheol Acta 30 151
[8] Hernández-Jiménez A et al 2001 Polym. Test. 21 325
[9] Podlubny I 1999 Fractional Differential Equations (Orlando: Academic)
[10] Caputo M 1967 Geophys. J. R. Astron. Soc. 13 529
[11] Diethelm K et al 2002 Nonlinear Dynamics 29 3
[12] Li C and Peng G 2004 Chaos, Solitons and Fractals 22 443
[13] Khayat R E 1994 J. Non-Newtonian Fluid Mech. 53 227