Partial characterization of the global attractor of the equation .
Patterns, Memory and Periodicity in Two-Neuron Delayed Recurrent Inhibitory Loops
We study the coexistence of multiple periodic solutions for an analogue of the integrate-and-fire neuron model of two-neuron recurrent inhibitory loops with delayed feedback, which incorporates the firing process and absolute refractory period. Upon receiving an excitatory signal from the excitatory neuron, the inhibitory neuron emits a spike with a pattern-related delay, in addition to the synaptic delay. We present a theoretical framework to view...
Periodic Duffing equations with delay.
Periodic dynamics in a model of immune system
The aim of this paper is to study periodic solutions of Marchuk's model, i.e. the system of ordinary differential equations with time delay describing the immune reactions. The Hopf bifurcation theorem is used to show the existence of a periodic solution for some values of the delay. Periodic dynamics caused by periodic immune reactivity or periodic initial data functions are compared. Autocorrelation functions are used to check the periodicity or quasiperiodicity of behaviour.
Periodic orbits and the global attractor for delayed monotone negative feedback.
Periodic oscillation of fuzzy Cohen-Grossberg neural networks with distributed delay and variable coefficients.
Periodic solution and global exponential stability for shunting inhibitory delayed cellular neural networks.
Periodic solution for a delayed three-species food-chain system with Holling type-II functional response.
Periodic solutions and exponential stability for shunting inhibitory cellular neural networks with continuously distributed delays.
Periodic solutions and exponential stability of a class of neural networks with time-varying delays.
Periodic solutions for a class of functional differential system
In this paper, we study the existence of periodic solutions to a class of functional differential system. By using Schauder's fixed point theorem, we show that the system has aperiodic solution under given conditions. Finally, four examples are given to demonstrate the validity of our main results.
Periodic solutions for a delayed predator-prey system with dispersal and impulses.
Periodic solutions for a kind of Rayleigh equation with two deviating arguments.
Periodic solutions for a Liénard equation with two deviating arguments.
Periodic solutions for a neutral functional differential equation with multiple variable lags
By means of the Krasnoselskii fixed piont theorem, periodic solutions are found for a neutral type delay differential system of the form
Periodic solutions for a second-order neutral differential equation with variable parameter and multiple deviating arguments.
Periodic solutions for first order neutral functional differential equations with multiple deviating arguments
We consider first order neutral functional differential equations with multiple deviating arguments of the form . By using coincidence degree theory, we establish some sufficient conditions on the existence and uniqueness of periodic solutions for the above equation. Moreover, two examples are given to illustrate the effectiveness of our results.
Periodic solutions for functional differential equations with periodic delay close to zero.
Periodic solutions for -th order delay differential equations with damping terms
By using the coincidence degree theory of Mawhin, we study the existence of periodic solutions for th order delay differential equations with damping terms . Some new results on the existence of periodic solutions of the investigated equation are obtained.
Periodic solutions for neutral nonlinear differential equations with functional delay.