[1]
|
E. N. Lorenz, “Deterministic Nonperiodic Flow,” Journal of Atmospheric Sciences, Vol. 20, No. 2, 1963, pp. 130- 141. doi:10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
|
[2]
|
O. E. R?ssler, “An Equation for Continuous chaos,” Physics Letters A, Vol. 57, No. 5, 1976, pp. 397-398.
doi:10.1016/0375-9601(76)90101-8
|
[3]
|
O. E. Rossler, “An Equation for Hyperchaos,” Physics Letters A, Vol. 71, No. 2-3, 1979, pp. 155-157.
doi:10.1016/0375-9601(79)90150-6
|
[4]
|
J. C. Sprott, “Simple Chaotic Systems and Circuits,” American Journal of Physicals, Vol. 68, No. 8, 2000, pp. 758-763. doi:10.1119/1.19538
|
[5]
|
J. C. Sprott, “Some Simple Chaotic Flows,” Physical Review E, Vol. 50, No. 2, 1994, pp. R647-R650.
doi:10.1103/PhysRevE.50.R647
|
[6]
|
H. P. W. Gottlieb, “Question #38. What Is the Simplest Jerk Function That Gives Chaos?” American Journal of Physicals, Vol. 64, No. 5, 1996, p. 525.
doi:10.1119/1.18276
|
[7]
|
S. J. Linz, “Nonlinear Dynamical Models and Jerk Motion,” American Journal of Physicals, Vol. 65, No. 6, 1997, pp. 523-526. doi:10.1119/1.18594
|
[8]
|
J. C. Sprott, “Some Simple Chaotic Jerk Functions,” American Journal of Physicals, Vol. 65, No. 6, 1997, pp. 537-543. doi:10.1119/1.18585
|
[9]
|
J.-M. Malasoma, “What Is the Simplest Dissipative Chaotic Jerk Equation Which Is Parity Invariant,” Physics Letters A, Vol. 264, No. 5, 2000, pp. 383-389.
doi:10.1016/S0375-9601(99)00819-1
|
[10]
|
F. Zhang, J. Heidel and R. L. Borne, “Determining Nonchaotic Parameter Regions in Some Simple Jerk Functions,” Chaos, Solitons & Fractals, Vol. 36, No. 4, 2008, pp. 862-873. doi:10.1016/j.chaos.2006.07.005
|
[11]
|
R. Eichhorn, S. J. Linz and P. H?nggi, “Simple Polynomial Classes of Chaotic Jerk Dynamics,” Chaos, Solitons & Fractals, Vol. 13, No. 1, 2002, pp. 1-15.
doi:10.1016/S0960-0779(00)00237-X
|
[12]
|
S. J. Linz, “Non-Chaos Criteria for Certain Jerk Dynamics,” Physics Letters A, Vol. 275, No. 3, 2000, pp. 204- 210. doi:10.1016/S0375-9601(00)00576-4
|
[13]
|
J. C. Sprott, “Chaos and Time-Series Analysis,” Oxford University Press, New York, 2003.
|
[14]
|
L. M. Koci? and S. Gegovska-Zajkova, “On a Jerk Dynamical System,” Automatic Control and Robotics, Vol. 8, 2009, pp. 35-44.
|
[15]
|
G. M. Mahmoud and T. Bountis, “The Dynamics of Systems of Complex Nonlinear Oscillators,” International Journal of Bifurcation and Chaos, Vol. 14, No. 1, 2004, pp. 3821-3846. doi:10.1142/S0218127404011624
|
[16]
|
G. M. Mahmoud, M. E. Ahmed and E. E. Mahmoud, “Analysis of Hyperchaotic Complex Lorenz Systems,” International Journal of Modern Physics C, Vol. 19, No. 10, 2008, pp. 1477-1494.
doi:10.1142/S0129183108013151
|
[17]
|
G. M. Mahmoud, M. A. Al-Kashif and A. A. Farghaly, “Chaotic and Hyperchaotic Attractors of a Complex Nonlinear System” Journal of Physicss A: Mathematical and Theoretical, Vol. 41, No. 5, 2008, pp. 55-104.
doi:10.1088/1751-8113/41/5/055104
|
[18]
|
G. M. Mahmoud, E. E. Mahmoud and M. E. Ahmed, “On the Hyperchaotic Complex Lü System,” Nonlinear Dynamics, Vol. 58, No. 4, 2008, pp. 725-738.
doi:10.1007/s11071-009-9513-0
|
[19]
|
G. M. Mahmoud, T. Bountis, M. A. Al-Kashif and S. A. Aly, “Dynamical properties and synchronization of complex non-linear equations for detuned laser,” J. Dynamical Systems: An International Journal, Vol. 24, No. 1, 2009, pp. 63-79. doi:10.1080/14689360802438298
|
[20]
|
G. M. Mahmoud and E. E. Mahmoud, “Synchronization and Control of Hyperchaotic Complex Lorenz System,” Mathematics and Computers in Simulation, Vol. 80, No. 12, 2010, pp. 2286-2296.
doi:10.1016/j.matcom.2010.03.012
|
[21]
|
G. M. Mahmoud, and E. E. Mahmoud, “Complete Synchronization of Chaotic Complex Nonlinear Systems with Uncertain Parameters,” Nonlinear Dynamics, Vol. 62, No. 4, 2010, pp. 875-882. doi:10.1007/s11071-010-9770-y
|