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Rhythmic, periodic processes are ubiquitous in biological systems; for example, the heart beat, walking, circadian rhythms and the menstrual cycle. Modeling these processes with high delity as peri...
Here we present a simple stochastic threshold model consisting of a deterministic slowly decaying term and a fast stochastic noise term. The process shows a pseudo-resonance, in the sense that for s...
We analyze the e ects of spatially extended periodic forcing on the dynamics of one-dimensional excitation waves. Entrainment of unstable primary waves has been studied numerically for di erent ampl...
We consider a class of map, recently derived in the context of cluster mutation. In this paper we start with a brief review of the quiver context, but then move onto a discussion of a related Poisson ...
In this paper, we discuss the existence of almost periodic solutions for a class of nonlinear Duffing equations. Some new theorems are established to ensure that the existence of almost periodic sol...
Almost periodic functions and distributions associated with the differential-difference Dunkl operator Dμ of index μ on R are introduced and studied in this work. We give their expansions in terms o...
We study the superposition operators (also called Nemytskii operators) between spaces of almost periodic functions with values in a complete metric space or in a Banach space. We establish new resul...
In this paper, we establish existence, multiplicity and nonexistence of periodic solutions for a class of first-order n-dimensional neutral functional differential equations. Our results improve the ...
In this paper, by using the critical point theory, some sufficient conditions for the existence and multiplicity of periodic and subharmonic solutions to a class of second order functional differenc...
It is considered the system of differential equations that describes the dynamics of an infinite chain of linearly coupled nonlinear oscillators. Results on existence of the periodic travelling wave...
This paper introduces and examines a new class of functions called Stepanov-like pseudo almost periodic functions (or Sp-pseudo almost periodic functions), which generalizes in a natural fashion the...
In this paper, we establish the existence, multiplicity and nonexistence of periodic solutions for a class of first-order neutral functional differential equations. Our results improve the previous ...
By using the theory of coincidence degree, sufficient conditions for the existence and nonexistence of positive periodic solutions of a class of neutral delay competition model are obtained.

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