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نتیجه جستجو - Fitzhugh–Nagumo

تعداد مقالات یافته شده: 3
ردیف عنوان نوع
1 Chimera States mediated by nonlocally attractive-repulsive coupling in FitzHugh–Nagumo neural networks
حالت Chimera با واسطه زوج جذب-دفع در شبکه های عصبی FitzHugh-Nagumo-2020
The spontaneous occurrence of heterogeneous behaviors in homogeneous systems is an intriguing phenomenon. Recently, a remarkable heterogeneous behavior, called “chimera states”, which consists of spatially coherent and incoherent domains, has been studied in a great variety of systems including physical, chemical, biological, or optical. In this paper, chimera states in FitzHugh–Nagumo (FHN) neural networks are investigated. The identical FHN neurons are assigned in a ring and nonlocally coupled by attractive and repulsive couplings. We show that, the chimera states can be induced by the cooperation of nonlocally attractive and repulsive interactions between these neurons. Moreover, depending on the strength and range of attractive or repulsive couplings, the neural networks display different spatiotemporal behaviors, including chimera states, multi-cluster (MC) chimera states, traveling waves, traveling coherent states, solitary states, bursting synchronizations, and synchronizations. These results suggest that attractive and repulsive couplings may play a crucial role in mediating dynamic behavior of neural networks, and these results could be useful in understanding and predicting the rich dynamics of neural networks.
Keywords: Attractive and repulsive coupling | Neural network | Chimera state
مقاله انگلیسی
2 Vibrational mono-/bi-resonance and wave propagation in FitzHugh–Nagumo neural systems under electromagnetic induction
تک لرزش و تکثیر ارتعاش و انتشار موج در سیستم های عصبی FitzHugh–Nagumo تحت القای الکترومغناطیسی-2020
In this paper, an modified FitzHugh–Nagumo (FHN) neural model was employed to investigate the vibra- tional resonance (VR) phenomenon, the collective behaviors, and the transmission of weak low-frequency (LF) signal driven by high-frequency (HF) stimulus under the action of different electromagnetic induction in single FHN neuron and feed-forward feedback network (FFN) system, respectively. For the single FHN system, by increasing the amplitude of HF stimulus, the phenomena of vibrational mono-/bi-resonance are observed, and the input weak signal and output of system are synchronized, and the information of the weak LF signal is amplified. For the FFN system, the phenomena of vibrational mono-/bi-resonances are also occurred, both frequency and amplitude of the HF stimulus play an important role in the vibra- tional bi-resonances and transmission of weak LF signal in the FHN neural FFN.
Keywords: Vibrational resonance | FitzHugh–Nagumo model | Feed-forward feedback | neural network Electromagnetic induction | Chaos and bifurcation analysis
مقاله انگلیسی
3 The use of space-splitting RBF-FD technique to simulate thecontrolled synchronization of neural networks arising from brainactivity modeling in epileptic seizures
استفاده از روش تقسیم فضا RBF-FD برای شبیه سازی هماهنگ سازی کنترل شده شبکه های عصبی ناشی از مدل سازی میزان مغز در تشنج های صرع-2020
This paper investigates the behavior and synchronization of a network of reaction–diffusion neuraldynamics models using a highly efficient numerical method. In fact, the dynamical modeling, behav-ior analysis and controlled synchronization of a network of FitzHugh–Nagumo (FHN) neurons whichpromising the understanding of cognitive processing are studied by considering the unidirectional gapjunctions in the medium between two distant neurons. In this study, radial basis function generatedfinite differences (RBF-FD) technique is employed in conjunction with a suitable operator splitting tech-nique, which allows us to decouple the nonlinear partial differential equations of neural network modelsinto independent linear algebraic equations of very small dimensions. The most important advantagesof the proposed method can be high accuracy and high speed, very low computational complexity, andthe sparsity property of the matrix of the coefficients derived from its linear systems, which distinguishthe proposed method from other methods. The analyses and numerical results presented totally confirmthese claims.
Keywords: Finite difference | Radial basis function | Fitzhugh–Nagumo | Operator splitting | Synchronization | Epilepsy
مقاله انگلیسی
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