ADAPTIVE FRACTIONAL-ORDER CONTROL FOR SYNCHRONIZATION OF TWO COUPLED NEURONS IN THE EXTERNAL ELECTRICAL STIMULATION

作者: A A Jalali , S K Mousavi Mashhadi , E Rouhani , M R Rahmani Mehdiabadi

DOI:

关键词:

摘要: This paper addresses synchronizing two coupled chaotic FitzHugh–Nagumo (FHN) neurons with weakly gap junction under external electrical stimulation (EES). To transmit information among neurons, by generalization of the integer-order FHN equations system into fractional-order in frequency domain using Crone approach, behavior each neuron relies on its past and memorized can be a better fit for response. An adaptive controller based Lyaponuv stability theory was designed to synchronize electrically EES. The proposed is also robust inevitable random noise such as disturbances ionic channels. simulation results demonstrate effectiveness control scheme.

参考文章(25)
Muhammad Aqil, Keum-Shik Hong, Myung-Yung Jeong, Synchronization of coupled chaotic FitzHugh-Nagumo systems Communications in Nonlinear Science and Numerical Simulation. ,vol. 17, pp. 1615- 1627 ,(2012) , 10.1016/J.CNSNS.2011.09.028
Yan-Qiu Che, Jiang Wang, Shi-Gang Cui, Bin Deng, Xi-Le Wei, Wai-Lok Chan, Kai-Ming Tsang, Chaos synchronization of coupled neurons via adaptive sliding mode control Nonlinear Analysis-real World Applications. ,vol. 12, pp. 3199- 3206 ,(2011) , 10.1016/J.NONRWA.2011.05.020
K. Moaddy, A.G. Radwan, K.N. Salama, S. Momani, I. Hashim, The fractional-order modeling and synchronization of electrically coupled neuron systems Computers & Mathematics With Applications. ,vol. 64, pp. 3329- 3339 ,(2012) , 10.1016/J.CAMWA.2012.01.005
Juan Yu, Cheng Hu, Haijun Jiang, α -stability and α -synchronization for fractional-order neural networks Neural Networks. ,vol. 35, pp. 82- 87 ,(2012) , 10.1016/J.NEUNET.2012.07.009
B. Ibarz, J.M. Casado, M.A.F. Sanjuán, Map-based models in neuronal dynamics Physics Reports. ,vol. 501, pp. 1- 74 ,(2011) , 10.1016/J.PHYSREP.2010.12.003
Muhammad Rehan, Keum-Shik Hong, Muhammad Aqil, Synchronization of multiple chaotic FitzHugh-Nagumo neurons with gap junctions under external electrical stimulation Neurocomputing. ,vol. 74, pp. 3296- 3304 ,(2011) , 10.1016/J.NEUCOM.2011.05.015
Foroogh Motallebzadeh, Mohammad Reza Jahed Motlagh, Zahra Rahmani Cherati, Synchronization of different-order chaotic systems: Adaptive active vs. optimal control Communications in Nonlinear Science and Numerical Simulation. ,vol. 17, pp. 3643- 3657 ,(2012) , 10.1016/J.CNSNS.2012.01.012
Hideki Tanaka, Takashi Morie, Kazuyuki Aihara, An analog CMOS circuit for spiking neuron models International Congress Series. ,vol. 1291, pp. 217- 220 ,(2006) , 10.1016/J.ICS.2006.02.036