مولد اعداد شبه تصادفی بر اساس مدل نورون ایژیکویچ اتاپسی تحت تابش الکترومغناطیسی و پیاده-سازی مبتنی بر FPGA

[1] K. Gu, N. Wu, B. Yin, W. Jia, "Secure data sequence query framework based on multiple fogs", IEEE Transactions on Emerging Topics in Computing, vol. 9, no. 4, pp. 1883-1900, 2019.

 [2] ل.صادقی خرمی، ع. صفوی، "طراحی رویتگر امن با ورودی ناشناخته با استفاده از رمزنگاری"، مجله مهندسی برق دانشگاه تبریز، دوره 50، شماره 2، صفحه 757-764 ، سال 1399.

[3] K. Gu, X. Dong, L. Wang, "Efficient traceable ring signature scheme without pairings", Advances in Mathematics of Communications, vol. 14, no. 2, pp. 207, 2020.

[4] F. Yu, S. Qian, X. Chen, Y. Huang, S. Cai, J. Jin, S. Du, "Chaos-based engineering applications with a 6D memristive multistable hyperchaotic system and a 2D SF-SIMM hyperchaotic map", Complexity 2021, 2021.

[5] M. Itoh, "Spread spectrum communication via chaos", International Journal of Bifurcation and Chaos, vol. 9, no. 01, pp.155-213, 1999.

[6] Y. Wang, Z. Liu, J. Ma, H. He, "A pseudorandom number generator based on piecewise logistic map", Nonlinear Dynamics, vol. 83, no. 4, pp. 2373-2391, 2016.

[7] C. Wang, L. Xiong, J. Sun, W. Yao, "Memristor-based neural networks with weight simultaneous perturbation training", Nonlinear Dynamics, vol. 95, no. 4, pp. 2893-2906, 2019.

[8] L. Zhou, F. Tan, F. Yu, "A robust synchronization-based chaotic secure communication scheme with double-layered and multiple hybrid networks", IEEE Systems Journal, vol. 14, no. 2, pp. 2508-2519, 2019.

[9] Y. Huang, Y. Wang, Y. Zhang, "Shape synchronization of drive-response for a class of two-dimensional chaotic systems via continuous controllers", Nonlinear Dynamics, vol. 78, no. 4, pp. 2331-2340, 2014.

[10] Cicek, Ihsan, Ali Emre Pusane, and Gunhan Dundar. "A new dual entropy core true random number generator." Analog Integrated Circuits and Signal Processing 81, no. 1 (2014): 61-70.

[11] M. Bucolo, R. Caponetto, L. Fortuna, M. Frasca, A. Rizzo, "Does chaos work better than noise?", IEEE Circuits and Systems Magazine, vol. 2, no. 3,  pp.4-19, 2002.

[12] H. Hu, L. Liu, N. Ding, "Pseudorandom sequence generator based on the Chen chaotic system", Computer Physics Communications. Vol. 184, no. 3, pp. 765-768, 2013.

[13] M. A. Murillo-Escobar, C. Cruz-Hernández, L. Cardoza-Avendaño, R. Méndez-Ramírez, "A novel pseudorandom number generator based on pseudorandomly enhanced logistic map", Nonlinear Dynamics, vol. 87, no. 1, pp. 407-425, 2017.

[14] A. Akhshani, A. Akhavan, A. Mobaraki, S-C. Lim, Z. Hassan, "Pseudo random number generator based on quantum chaotic map", Communications in Nonlinear Science and Numerical Simulation, vol. 19, no. 1, pp. 101-111, 2014.

[15] E. Avaroğlu, I. Koyuncu, A. Bedri Özer, M. Türk, "Hybrid pseudo-random number generator for cryptographic systems", Nonlinear Dynamics, vol. 82, no. 1, pp. 239-248, 2015.

[16] S. Zhang, J. Zheng, X. Wang, Z. Zeng, “Multi-scroll hidden attractor in memristive HR neuron model under electromagnetic radiation and its applications”, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 31, no. 1, pp. 011101, 2021.

[17] F. Yu, Z. Zhang, H. Shen, Y. Huang, S. Cai, J. Jin, S. Du, “Design and FPGA implementation of a pseudo-random number generator based on a Hopfield neural network under electromagnetic radiation”, Frontiers in Physics, pp. 302, 2021.

[18] H. Lin, C. Wang, W. Yao, Y. Tan, "Chaotic dynamics in a neural network with different types of external stimuli", Communications in Nonlinear Science and Numerical Simulation, vol.90, pp. 105390, 2020.

[19] P. Kwan, J. Brodie, "Early identification of refractory epilepsy", New England Journal of Medicine, vol. 342, no. 5. Pp. 314-319, 2000.

[20] A.L. Goldberger, D.R. Rigney, B.J. West, "Chaos and fractals in human physiology", Scientific American, vol. 262, no. 2, pp. 42-49, 1990.

[21] A.L. Hodgkin, A.F. Huxley, "A quantitative description of membrane current and its application to conduction and excitation in nerve", The Journal of physiology, vol. 117, no. 4, pp. 500, 1952.

[22] J.L. Hindmarsh, R.M. Rose, "A model of neuronal bursting using three coupled first order differential equations", Proceedings of the Royal society of London. Series B. Biological sciences, vol. 221, no. 1222, 87-102, 1984.

[23] R. FitzHugh, "Impulses and physiological states in theoretical models of nerve membrane", Biophysical journal, vol. 1, no. 6, pp. 445-466, 1961.

[24] J. Nagumo, , S. Arimoto, S. Yoshizawa, "An active pulse transmission line simulating nerve axon", Proceedings of the IRE, vol. 50, no. 10, pp.2061-2070, 1962.

[25] E. M. Izhikevich, "Simple model of spiking neurons", IEEE Transactions on neural networks, vol. 14, no. 6, pp.1569-1572, 2003.

[26] E. M. Izhikevich, "Which model to use for cortical spiking neurons?", IEEE transactions on neural networks, vol. 15, no. 5, pp. 1063-1070, 2004.

[27] H. Wang, J. Ma, Y. Chen, Y. Chen, "Effect of an autapse on the firing pattern transition in a bursting neuron", Communications in Nonlinear Science and Numerical Simulation, vol.19, no. 9, pp. 3242-3254, 2014.

[28] Y. Xu, H. Ying, Y. Jia, J. Ma, T. Hayat, "Autaptic regulation of electrical activities in neuron under electromagnetic induction", Scientific Reports, vol. 7, no. 1, pp.1-12, 2017.

[29] M. Lv, C. Wang, G. Ren, J. Ma, X. Song, "Model of electrical activity in a neuron under magnetic flow effect", Nonlinear Dynamics, vol. 85, no. 3, pp.1479-1490, 2016.

[30] D. Guo, S. Wu, M. Chen, M. Perc, Y. Zhang, J. Ma, Y. Cui, P. Xu, Y. Xia, D. Yao, "Regulation of irregular neuronal firing by autaptic transmission", Scientific reports, vol. 6, no. 1, pp.1-14, 2016.

[31] J. M. Bekkers, "Synaptic transmission: functional autapses in the cortex", Current Biology, vol. 13, no. 11, pp. R433-R435, 2003.

[32] G. Wang, Y. Wu, F. Xiao, Z. Ye, Y. Jia, "Non-Gaussian noise and autapse-induced inverse stochastic resonance in bistable Izhikevich neural system under electromagnetic induction", Physica A: Statistical Mechanics and its Applications, vol. 598, pp.127274, 2022.

[33] S. Nobukawa, H. Nishimura, T. Yamanishi, J. Liu, "Analysis of chaotic resonance in Izhikevich neuron model", PloS one, vol. 10, no. 9, pp. e0138919, 2015.

[34] A. Tamura, T. Ueta, S. Tsuji, "Bifurcation analysis of Izhikevich neuron model." Dynamics of continuous, discrete and impulsive systems, Series A: mathematical analysis, vol. 16, no. 6, pp. 759-775, 2009.

[35] Y. Li, G. Schmid, P. Hänggi, L. Schimansky-Geier, "Spontaneous spiking in an autaptic Hodgkin-Huxley setup", Physical Review E, vol. 82, no. 6, pp. 061907, 2010.

[36] J-L. Danger, S. Guilley, P. Hoogvorst, "High speed true random number generator based on open loop structures in FPGAs", Microelectronics journal, vol. 40, no. 11, pp. 1650-1656, 2009.

[37] M. Garcia-Bosque, A. Pérez-Resa, C. Sánchez-Azqueta, C. Aldea, S. Celma, "Chaos-based bitwise dynamical pseudorandom number generator on FPGA", IEEE Transactions on Instrumentation and Measurement, vol. 68, no. 1, pp. 291-293, 2018.

[38] I. Koyuncu, M. Tuna, I. Pehlivan, C. Bülent Fidan, M. Alçın, "Design, FPGA implementation and statistical analysis of chaos-ring based dual entropy core true random number generator", Analog Integrated Circuits and Signal Processing, vol. 102, no. 2, pp. 445-456, 2020.

[39] V. Guglielmi, P. Pinel, D. Fournier-Prunaret, A. Taha, "Chaos-based cryptosystem on DSP", Chaos, Solitons & Fractals, vol. 42, no. 4, pp. 2135-2144, 2009.

[40] F. Yu, L. Li, B. He, L. Liu, S. Qian, Z. Zhang, H. Shen, S. Cai, Y. Li, "Pseudorandom number generator based on a 5D hyperchaotic four-wing memristive system and its FPGA implementation", The European Physical Journal Special Topics, vol. 230, no. 7, pp. 1763-1772, 2021.

[41] F. Yu, L. Li, B. He, L. Liu, S. Qian, Y. Huang, S. Cai, "Design and FPGA implementation of a pseudorandom number generator based on a four-wing memristive hyperchaotic system and Bernoulli map", IEEE Access, vol. 7, pp. 181884-181898, 2019.

[42] پ. دری، ع. قیاسیان، ح. سعیدی، "طراحی و پیاده‌سازی رمزنگار AES در بستر FPGA برای خطوط پرسرعت"، مجله مهندسی برق دانشگاه تبریز، دوره 46، شماره 1، صفحه 153-167، سال 1395.

[43] C. A. Lúa, S. D. Gennaro, A. N. Guzman, S. Ortega-Cisneros, J. R. Domínguez, "Digital implementation via FPGA of controllers for active control of ground vehicles", IEEE Transactions on Industrial Informatics, vol. 15, no. 4, pp. 2253-2264, 2019.

[44] L. D. Medus, T. Iakymchuk, J. Vicente Frances-Villora, M. Bataller-Mompeán, A. Rosado-Muñoz. "A novel systolic parallel hardware architecture for the FPGA acceleration of feedforward neural networks", IEEE Access, vol. 7, pp. 76084-76103, 2019.

[45] M. Meribout, I. M. Saied, E. Al Hosani, "A new FPGA-based terahertz imaging device for multiphase flow metering", IEEE Transactions on Terahertz Science and Technology, vol.  8, no. 4, pp. 418-426, 2018.

[46] M, Tuna, M. Alçın, I. Koyuncu, C. B. Fidan, I. Pehlivan, "High speed FPGA-based chaotic oscillator design", Microprocessors and Microsystems, vol. 66, pp. 72-80, 2019.

[47] E.A. Hagras, M. Saber, “Low power and high-speed FPGA implementation for 4D memristor chaotic system for image encryption”, Multimedia Tools and Applications, vol. 79, no. 31, pp. 23203-23222, 2020.

[48] A. Rukhin, J. Soto, J. Nechvatal, E. Barker, S. Leigh, M. Levenson, D.Banks, "A statistical test suite for random and pseudorandom number generators for cryptographic applications,” NIST Special Publication 800-22 (revised May 15." (2002).