Parabolic equations with coefficients depending on t and parameters
Parabolic equations with deviating argument
Parabolic equations with deviating argument in advance
Parameter-uniform fitted mesh method for singularly perturbed delay differential equations with layer behavior.
Partial characterization of the global attractor of the equation .
Partial generalized synchronization theorems of differential and discrete systems
This paper presents two theorems for designing controllers to achieve directional partial generalized synchronization (PGS) of two independent (chaotic) differential equation systems or two independent (chaotic) discrete systems. Two numerical simulation examples are given to illustrate the effectiveness of the proposed theorems. It can be expected that these theorems provide new tools for understanding and studying PGS phenomena and information encryption.
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 and almost periodic solutions of functional difference equations with finite delay.
Periodic boundary value problems for second-order functional differential equations.
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.