The most popular animal models of Alzheimer’s disease (AD) are transgenic mice expressing human genes with known mutations which do not represent the most abundant sporadic form of the disease. An increasing number of genetic, vascular and psychosocial data strongly support that the Octodon degus, a moderate-sized and diurnal precocial rodent, provides a naturalistic model for the study of the ...

This paper is dedicated to the statistical analysis of the chaos, generated by Rössler attractor, based on the socalled “Degenerated Cumulant Equations” method. The approach is illustrated by the calculus of the first cumulants, which are necessary to create an approximation of the Probability Density Function (PDF), applying the Gramm-Charlier series, the model distribution method, etc. An app...

We consider the motion of an incompressible fluid confined to a shallow basin with varying bottom topography. A two-dimensional shallow water model has been derived from a three-dimensional anisotropic eddy viscosity model and has been shown to be globally well posed in [15]. The dynamical system associated with the shallow water model is studied. We show that this system possesses a global att...

The elementary set, or alphabet, of neural firing modes is derived from the widely accepted conductance-based rectified firing-rate model. The firing dynamics of interacting neurons are shown to be governed by a multidimensional bilinear threshold discrete iteration map. The parameter-dependent global attractors of the map morph into 12 attractor types. Consistent with the dynamic modes observe...

|In this paper, we study the asymptotic behaviour of the solutions for the Benjamin-Bona-Mahony equation. We rst present the existence of the global weak attractor in H 2 per for this equation. And then by an energy equation we show that the global weak attractor is actually the global strong attractor in H 2 per. In this note, we consider the following Benjamin-Bona-Mahony equation: (1) with t...

In this paper, the dynamical heteroclinic orbit and attractor have been employed to make the late-time behaviors of the model insensitive to the initial condition and thus alleviates the fine tuning problem in cosmological dynamical system of barotropic fluid and quintessence with a double exponential potential. The late-time asymptotic behavior of the double exponential model does not always c...

We analyze a model of a chaotic neural network consisting of three neurons, namely a chaotically forcing neuron and two neurons comprizing a stable response system with a contraction mapping property, for digital encoding with chaotic dynamics. We show that dynamics of the chaotically forcing neuron is embedded in the form of a code sequence on a fractal attractor of the two-neuron response sys...