Vegetation pattern is caused by local instability in phase space, which can reflect the
distribution characteristics of vegetation in the studied space. In semi-arid environment, the …

We study time-reversal symmetry breaking in non-Hermitian fluctuating field theories with
conserved dynamics, comprising the mesoscopic descriptions of a wide range of …

Although there is general agreement that the network plays an essential role in the
biological system, how the connection probability of network affects the natural model …

In this paper, a new four-variable dynamical system is proposed to set chaotic circuit
composed of memristor and Josephson junction, and the dependence of chaotic behaviors …

The FitzHugh-Nagumo equation, originally conceived in neuroscience during the 1960s,
became a key model providing a simplified view of excitable neuron cell behavior. Its …

It is an established fact that a positive wave number plays an essential role in Turing
instability. However, the impact of a negative wave number on Turing instability remains …

This paper investigates the dynamics of a discrete FitzHugh-Nagumo (FHN) model with self-
diffusion on two-dimensional coupled map lattices. The primary objective is to analyze the …

In the realm of ecology, species naturally strive to enhance their own survival odds. This
study introduces and investigates a predator‐prey model incorporating reaction‐diffusion …

Computational neuroscience and neuronal communication have been amongst the most
sought after fields in the recent times. The integration of computational neuroscience and …

We construct square and target patterns solutions of the FitzHugh–Nagumo reaction–
diffusion system on planar bounded domains. We study the existence and stability of …