Spatial discretization of an impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms.
Stability analysis of discrete Hopfield neural networks with the nonnegative definite monotone increasing weight function matrix.
Stability analysis of high-order Hopfield-type neural networks based on a new impulsive differential inequality
This paper is devoted to studying the globally exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays. In the process of impulsive effect, nonlinear and delayed factors are simultaneously considered. A new impulsive differential inequality is derived based on the Lyapunov-Razumikhin method and some novel stability criteria are then given. These conditions, ensuring the global exponential stability, are simpler and less conservative than some of the previous...
Stability analysis of recurrent neural networks with random delay and Markovian switching.
Stability analysis of stochastic reaction-diffusion Cohen-Grossberg neural networks with time-varying delays.
Stability and bifurcation in a simplified four-neuron bam neural network with multiple delays.
Stability and bifurcation of a class of discrete-time Cohen-Grossberg neural networks with delays.
Stability of cellular neural networks with unbounded time-varying delays.
Stability of impulsive hopfield neural networks with Markovian switching and time-varying delays
The paper is concerned with stability analysis for a class of impulsive Hopfield neural networks with Markovian jumping parameters and time-varying delays. The jumping parameters considered here are generated from a continuous-time discrete-state homogenous Markov process. By employing a Lyapunov functional approach, new delay-dependent stochastic stability criteria are obtained in terms of linear matrix inequalities (LMIs). The proposed criteria can be easily checked by using some standard numerical...
Stochastic passivity of uncertain neural networks with time-varying delays.
Stochastic stability of Cohen-Grossberg neural networks with unbounded distributed delays.
Stochastic stability of neural networks with both Markovian jump parameters and continuously distributed delays.
Study of stationary solutions in gene network models by the homotopy method.
Sum-fuzzy implementation of a choice function using artificial learning procedure with fixed fraction
In one if his paper Luo transformed the problem of sum-fuzzy rationality into artificial learning procedure and gave an algorithm which used the learning rule of perception. This paper extends the Luo method for finding a sum-fuzzy implementation of a choice function and offers an algorithm based on the artificial learning procedure with fixed fraction. We also present a concrete example which uses this algorithm.
Synchronization for an array of coupled Cohen-Grossberg neural networks with time-varying delay.
Synchronization of discrete-time stochastic neural networks with random delay.
Synchronization of strongly coupled neural networks.
The conjugacy between Cascades generated by a weakly nonlinear system and the Euler method of a flow
Sufficient conditions for the existence of a topological conjugacy between a cascade obtained from a weakly nonlinear flow by fixing the time step and a cascade obtained by the Euler method are analysed. The aim of this paper is to provide relations between constants in the Fečkan theorem. Given such relations an implementation of a weakly nonlinear neuron is possible.
The dynamics of living and thinking systems, biological networks, and the laws of physics.
Tight bounds on periodic cell configurations in life.