A study of the nonlinear dynamics of human behavior and its digital hardware implementation
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Mohammed F. Tolba | Ahmed G. Radwan | Lobna A. Said | Ahmed H. Madian | Abdulaziz H. Elsafty | A. Radwan | L. Said | A. Madian | M. Tolba
[1] Shaofei Wu,et al. Nonlinear information data mining based on time series for fractional differential operators. , 2019, Chaos.
[2] Julien Clinton Sprott,et al. Evaluating Lyapunov exponent spectra with neural networks , 2013 .
[3] K. Diethelm,et al. Fractional Calculus: Models and Numerical Methods , 2012 .
[4] Mohammed F. Tolba,et al. Fractional order integrator/differentiator: FPGA implementation and FOPID controller application , 2019, AEU - International Journal of Electronics and Communications.
[5] Mohammed F. Tolba,et al. Fractional X-shape controllable multi-scroll attractor with parameter effect and FPGA automatic design tool software , 2019, Chaos, Solitons & Fractals.
[6] Ahmed M. Soliman,et al. An inductorless CMOS realization of Chua’s circuit , 2003 .
[7] J. Sprott. Dynamical models of love. , 2004, Nonlinear dynamics, psychology, and life sciences.
[8] Y. Ferdi. Computation of Fractional Order Derivative and Integral via Power Series Expansion and Signal Modelling , 2006 .
[9] E. Lorenz. Deterministic nonperiodic flow , 1963 .
[10] Julien Clinton Sprott,et al. Layla and Majnun: a complex love story , 2016 .
[11] Michael J. Radzicki,et al. Dyadic processes, tempestuous relationships, and system dynamics , 1993 .
[12] A. Gallant,et al. Convergence rates and data requirements for Jacobian-based estimates of Lyapunov exponents from data , 1991 .
[13] C. F. Lorenzo,et al. Chaos in a fractional order Chua's system , 1995 .
[14] Ursula Faber,et al. Controlling Chaos Suppression Synchronization And Chaotification , 2016 .
[15] A. Radwan,et al. MOS realization of the modified Lorenz chaotic system , 2004 .
[16] James D. Montgomery,et al. The Mathematics of Marriage , 2004 .
[17] V. Lakshmikantham,et al. Basic theory of fractional differential equations , 2008 .
[18] Sundarapandian Vaidyanathan,et al. Hidden attractors in a chaotic system with an exponential nonlinear term , 2015 .
[19] Chongxin Liu,et al. A new chaotic attractor , 2004 .
[20] K. Diethelm. The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type , 2010 .
[21] R. Hilfer. Applications Of Fractional Calculus In Physics , 2000 .
[22] O. Rössler. An equation for continuous chaos , 1976 .
[23] Ahmed G. Radwan,et al. Generalized double-humped logistic map-based medical image encryption , 2018, Journal of advanced research.
[24] Reyad El-Khazali,et al. Fractional-order dynamical models of love , 2007 .
[25] J C Sprott,et al. Dynamical models of happiness. , 2005, Nonlinear dynamics, psychology, and life sciences.
[26] José Francisco Gómez-Aguilar,et al. FPGA implementation and control of chaotic systems involving the variable-order fractional operator with Mittag–Leffler law , 2018, Chaos, Solitons & Fractals.
[27] Mohammed F. Tolba,et al. FPGA Implementation of the Fractional Order Integrator/Differentiator: Two Approaches and Applications , 2019, IEEE Transactions on Circuits and Systems I: Regular Papers.
[28] Huaguang Zhang,et al. Controlling Chaos: Suppression, Synchronization and Chaotification , 2009 .
[29] S. Strogatz. Love Affairs and Differential Equations , 1988 .
[30] Damei Li,et al. Bounds of the hyper-chaotic Lorenz–Stenflo system , 2010 .
[31] A. Wolf,et al. Determining Lyapunov exponents from a time series , 1985 .
[32] Luigi Fortuna,et al. Chua's Circuit Implementations: Yesterday, Today and Tomorrow , 2009 .
[33] Mohammed Affan Zidan,et al. The effect of numerical techniques on differential equation based chaotic generators , 2011, ICM 2011 Proceeding.
[34] Joan Carletta,et al. Implementation of Fractional-order Operators on Field Programmable Gate Arrays , 2007 .
[35] Mohammed F. Tolba,et al. Synchronization and FPGA realization of fractional-order Izhikevich neuron model , 2019, Microelectron. J..
[36] Mohammed F. Tolba,et al. FPGA implementation of fractional-order integrator and differentiator based on Grünwald Letnikov's definition , 2017, 2017 29th International Conference on Microelectronics (ICM).
[37] Ahmed M. Soliman,et al. Fractional Order Oscillator Design Based on Two-Port Network , 2016, Circuits Syst. Signal Process..
[38] Guanrong Chen,et al. YET ANOTHER CHAOTIC ATTRACTOR , 1999 .
[39] Jianying Yang,et al. Dynamical models of happiness with fractional order , 2010 .
[40] Aceng Sambas,et al. A new hyperchaotic temperature fluctuations model, its circuit simulation, FPGA implementation and an application to image encryption , 2018, International Journal of Simulation and Process Modelling.
[41] Joan Carletta,et al. A Systematic Approach for Implementing Fractional-Order Operators and Systems , 2013, IEEE Journal on Emerging and Selected Topics in Circuits and Systems.
[42] K.N. Salama,et al. Control and switching synchronization of fractional order chaotic systems using active control technique , 2013, Journal of advanced research.
[43] Yong Zhou. Basic Theory of Fractional Differential Equations , 2014 .
[44] Ivo Petrás,et al. Fractional - order chaotic systems , 2009, 2009 IEEE Conference on Emerging Technologies & Factory Automation.
[45] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations , 2006 .
[46] R. Sternberg. A triangular theory of love. , 1986 .
[47] Dirk Helbing,et al. Simulating dynamical features of escape panic , 2000, Nature.
[48] Margarita Rivero,et al. Fractional differential equations as alternative models to nonlinear differential equations , 2007, Appl. Math. Comput..
[49] Ahmed Gomaa Radwan,et al. Effect of Different Approximation Techniques on Fractional-Order KHN Filter Design , 2018, Circuits Syst. Signal Process..
[50] Ahmad Taher Azar,et al. FPGA implementation of two fractional order chaotic systems , 2017 .
[51] D. Baleanu,et al. Optimal control for a fractional tuberculosis infection model including the impact of diabetes and resistant strains , 2019, Journal of advanced research.
[52] Ahmed S. Elwakil,et al. FPGA realization of Caputo and Grünwald-Letnikov operators , 2017, 2017 6th International Conference on Modern Circuits and Systems Technologies (MOCAST).
[53] I. Podlubny. Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications , 1999 .
[54] Fabio Dercole,et al. Love stories can be unpredictable: Jules et Jim in the vortex of life. , 2014, Chaos.