Existence and Global Convergence of Periodic Solutions in Recurrent Neural Network Models with a General Piecewise Alternately Advanced and Retarded Argument

Oscillation of a nonlinear impulsive differential equation system with piecewise constant argument

“…Due to this open problem, linear impulsive differential equations with piecewise constant arguments have been dealt with in [11][12][13]. Moreover, cellular neural networks with piecewise constant argument have been investigated in [14][15][16]. In [14], the existence and attractivity of the following cellular neural network with piecewise constant argument was studied:…”

Uniform Euler approximation of solutions of fractional-order delayed cellular neural network on bounded intervals

“…Recently, many researchers have applied the discretization method to discretize various cellular neural networks [23][24][25][26][27][28][29]. But discretizing the fractional-order differential equations is of main interest.…”

Analysis and Design of Associative Memories for Memristive Neural Networks with Deviating Argument

“…For neural network model (1), the conventional definition of solution for differential equations cannot apply here. To tackle this problem, the solution concept for differential equations with deviating argument is introduced [24][25][26][27][28][29][30]. According to this theory, a solution ( ) = ( 1 ( ), 2 ( ), .…”

“…For the past few years, hybrid dynamic systems have remained one of the most active fields of research in the control community [22][23][24][25][26][27][28][29][30]. For instance, to describe the stationary distribution of temperature along the length of a wire that is bended, the nonlinear dynamic model with deviating argument is often used.…”