Given K real d-by-d nonsingular matrices S 1, . . . , S K , by extending the well-known Li-Yorke chaotic description of a deterministic nonlinear dynamical system to a discrete-time linear inclusion dynamical system: xn ∈ {S k xn−1}1≤k≤K with x0 ∈ Rd and n ≥ 1, we study the chaotic characteristic of the state trajectory (xn(x0, σ))n≥1, governed by a switching law σ : N → {1, . . . , K}, for any...

The impact parameter formalism of the single-center close-coupling, first-, and second-order Born approximations have been applied to investigate direct excitations of Helium He+(2s) and Lithium Li++(2s) ions by colliding with protons or antiprotons. The total 3s, 3p, and 3d scaled excitation cross sections are calculated in the scaled impact energy region (2 to 1000 keV). The present work aims...

in order to fabrication of transparent glass-ceramics with li-mica nano crystals, the glasses with chemical composition of 94.9 mass% li(1+x)mg3alsi3(1+x)f2 (x=0.5) with 5.1 mass% mgf2 were crystallized. the glasses were fabricated via the conventional melt-quenching technique. mica crystals were precipitated in the glass phase by later heat treatment. glass samples had glass transition tempera...

In microinjected Myxicola giant axons with elevated [Na]i, Na efflux was sensitive to Cao under some conditions. In Li seawater, sensitivity to Cao was high whereas in Na seawater, sensitivity to Cao was observed only upon elevation of [Ca]o above the normal value. In choline seawater, the sensitivity of Na efflux to Cao was less than that observed in Li seawater whereas Mg seawater failed to s...

It is well known that most conventional control methods and many special techniques can be used for chaos control [Chen & Dong, 1998] whether the purpose is to reduce “bad” chaos or to introduce “good” chaos. Numerous control methodologies have been proposed, developed, tested and applied. Due to its great potential in nontraditional applications such as those found within the context of physic...

BACKGROUND Irritable bowel syndrome patients with diarrhoea (IBS-D) often report intolerance to milk; however, the mechanism underlying these symptoms is unknown. AIM To assess the role of psychological factors, immune activation and visceral sensitivity on the development of lactose intolerance (LI) in IBS-D patients. METHODS Fifty-five IBS-D patients and 18 healthy controls (HCs) with lac...

Ying-Cheng Lai,1,* Celso Grebogi,2,3,† James A. Yorke,3,‡ and S. C. Venkataramani2 1Departments of Physics and Astronomy and Mathematics, The University of Kansas, Lawrence, Kansas 66045 2Institute for Plasma Research, The University of Maryland, College Park, Maryland 20742 3Department of Mathematics, Institute for Physical Science and Technology, The University of Maryland, College Park, Mary...

We consider a family of scalar delay differential equations x(t) = f(t, xt), with a nonlinearity f satisfying a negative feedback condition combined with a boundedness condition. We present a global stability criterion for this family, which in particular unifies the celebrated 3/2-conditions given for the Yorke and the Wright type equations. We illustrate our results with some applications.

Celso Grebogi, ' Stephen M. Hammel, ' ' James A. Yorke, ' and Tim Sauer "'Laboratory for Plasma Research, University of Maryland, College Park, Maryland 20742 ' 'institute for Physical Science and Technology and Department of Mathematics, University of Maryland, College Park, Maryland 20742 ' 'lvaval Surface Warfare Center, Silter Spring, Maryland 20903-5000 'Department of Mathematical Sciences...