Dynamics and oscillations of generalized high-order Hopfield neural networks with mixed delays

Existence and Global Exponential Stability of Almost Automorphic Solution for Clifford‐Valued High‐Order Hopfield Neural Networks with Leakage Delays

“…In recent years, high-order Hopfield neural networks have become the object of intensive analysis by many scholars because of their stronger approximation characteristics, faster convergence speed, larger storage capacity, and higher fault tolerance than low-order Hopfield neural networks. A lot of excellent research results about their dynamic characteristics have been obtained [1][2][3][4][5][6][7][8][9][10][11][12][13][14].…”

Dynamics and oscillations of models for differential equations with delays

“…Many excellent results about their dynamic characteristics have been obtained in e.g. [2,3,4,7,14,22,24,25]. Clearly, the study of the oscillations and dynamics of such models is an exciting new topic.…”

Mixed $H_{\infty }/$passive exponential function projective synchronization of delayed neural networks with hybrid coupling based on pinning sampled-data control

“…The EFPS error between isolate node α(t)s(t) (42) and network x i (t) (1) without sample-data pinning control (5) Example 4.2 Consider the isolated node with both discrete and distributed delays:…”

“…. , 6, j = 1, 2 without pinning sampled-data control (5). Figure 13 shows the EFPS errors between the states of the isolated node α(t)s(t) (43) and network x i (t) (1) where z ij (t) = x ij (t)α j (t)s j (t) for i = 1, 2, .…”

“…In the recent decades, neural networks (NNs) have been extensively investigated and widely applied in various research fields, for instance, optimization problem, pattern recognition, static image processing, associative memory, and signal processing [1][2][3][4]. In many engineering applications, time delay is one of the typical characteristics in the processing of neurons and plays an important role in causing the poor performance and instability or leading to some dynamic behaviors such as chaos, instability, divergence, and others [5][6][7][8][9]. Therefore, time-delay NNs have received considerable attention in many fields of application.…”