A note on the fractional-order Chen system

Podlubny, 1999

2001

Bagley, 1991, Fractional order state equations for the control of viscoelastically damped structures, J Guid Contr Dyn, 14, 304, 10.2514/3.20641

Sun, 1984, Linear approximation of transfer function with a pole of fractional order, IEEE Trans Automat Contr, 29, 441, 10.1109/TAC.1984.1103551

Ichise, 1971, An analog simulation of noninteger order transfer functions for analysis of electrode process, J Electroanal Chem, 33, 253, 10.1016/S0022-0728(71)80115-8

Heaviside, 1971

Laskin, 2000, Fractional market dynamics, Physica A, 287, 482, 10.1016/S0378-4371(00)00387-3

Kusnezov, 1999, Quantum levy processes and fractional kinetics, Phys Rev Lett, 82, 1136, 10.1103/PhysRevLett.82.1136

Schuster, 1984

Hirsch, 1974

Hartley, 1995, Chaos in a fractional order Chua’s system, IEEE Trans CAS-I, 42, 485, 10.1109/81.404062

Arena, 1998, Bifurcation and chaos in noninteger order cellular neural networks, Int J Bifurcat Chaos, 7, 1527, 10.1142/S0218127498001170

Arena, 2000, Chaotic behavior in noninteger-order cellular neural networks, Phys Rev E, 61, 776, 10.1103/PhysRevE.61.776

Ahmad, 2003, Chaos in fractional-order autonomous nonlinear systems, Chaos, Solitons & Fractals, 16, 339, 10.1016/S0960-0779(02)00438-1

Grigorenko, 2003, Chaotic dynamics of the fractional Lorenz system, Phys Rev Lett, 91, 034101, 10.1103/PhysRevLett.91.034101

Li, 2004, Chaos and hyperchaos in fractional order Rössler equations, Physica A, 341, 55, 10.1016/j.physa.2004.04.113

Li, 2004, Chaos in the fractional order Chen system and its control, Chaos, Solitons & Fractals, 22, 549, 10.1016/j.chaos.2004.02.035

Li, 2004, Chaos in Chen’s system with a fractional order, Chaos, Solitons & Fractals, 22, 443, 10.1016/j.chaos.2004.02.013

Chen, 1999, Yet another chaotic attractor, Int J Bifurcat Chaos, 9, 1465, 10.1142/S0218127499001024

Podlubny, 2002, Geometric and physical interpretation of fractional integration and fractional differentiation, Fract Calc Appl Anal, 5, 367

Charef, 1992, Fractal system as represented by singularity function, IEEE Trans Automat Contr, 37, 1465, 10.1109/9.159595