The FitzHugh–Nagumo (FHN) model, from computational neuroscience, has attracted attention in nonlinear dynamics studies as it describes the behavior of excitable systems and exhibits interesting bifurcation properties. accurate estimation model parameters is vital to understand how solution trajectory evolves time. To this end, we provide a forward sensitivity method (FSM) approach quantify mai...

We analyze the influence of an external sound source in a network FitzHugh-Nagumo oscillators with empirical structural connectivity measured healthy human subjects. report synchronization patterns, induced by frequency source. show that level synchrony can be enhanced choosing and its amplitude as control parameters for patterns. discuss minimum model elucidating modalities music on brain.

In the study, the activation propagation velocity in cardiac tissue was simulated in COMSOL Multiphysics environment using the modified FitzHugh-Nagumo model of the electrical excitation. The influence of different model parameters and stimulation conditions on the activation propagation velocity was evaluated. The homogeneous slab model was used as the model of the atrial wall. Results of simu...

Intermodulation and harmonics are important in frequency analysis of nonlinear systems. In neuron research, most investigations are taken in studying synchronization between the external stimuli and the output of neuron, but harmonics and intermodulation are often ignored. In this paper, harmonics and intermodulation of the subthreshold FitzHugh-Nagumo neuron are investigated and their magnitud...

In this paper, we employ the exp(-?(x))-expansion method to find the exact traveling wave solutions involving parameters of nonlinear evolution equations Fitzhugh-Nagumo (FN) equation and Modified Liouville equation. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the proposed method provides...

This paper gives asymptotic approximations for the probability density functions for delay bifurcations altered by noise. In these processes, very small noise signi cantly reduces the delay until the transition time. The asymptotic approximation describes the dynamics through the transition and is used to calculate mean transition times. The method is applied to a one dimensional canonical mode...

Stochastic Resonance in a coupled FitzHugh-Nagumo equation is investigated. The optimal noise intensity and the optimal input frequency, which maximize the signal to noise ratio of the output signal, are studied numerically, and their dependence on system parameters and connection coe cients is examined. It is found that a network composed of six elements can separate a superimposed periodic pu...

Here we present a study of stochastic resonance in an extended FitzHugh-Nagumo system with a field dependent activator diffusion. We show that the system response (here measured through the output signal-to-noise ratio) is enhanced due to the particular form of the non-homogeneous coupling. Such a result supports previous ones obtained in a simpler scalar reaction-diffusion system and shows tha...