Robert Gilmore Physics Department, Drexel University, Philadelphia, Pennsylvania 19104, USA (Dated: November 11, 2011) An atomic coherent state will evolve to an atomic coherent state under a classical driving field. Under a time-periodic driving field the phase space for the dynamics is S ×S, so that chaotic motion is possible. We explore the types of motion that can occur for periodically dri...

Abbreviations: ACC s acetyl-CoA carboxylase; AMP-PK s protein serinerthreonine kinase activated by 5-AMP; CPT-I s carnitine palmitoyltransferase-I; CREB protein s cyclic AMP-response element binding protein; ERKs s extracellular signal-regulated kinases: the MAP kinases originally Ž identified are now known to represent a sub-set of a wider family; the original members of the family are now ref...

In this paper, we use a remarkable recent result of Bramson and Kalikow, [BK], to produce an example of a C expanding map of the circle which preserves more than one absolutely continuous probability measure. We first introduce some abbreviations and definitions. An expanding map of the circle is a differentiable map f from the circle to itself such that |Dxf | ≥ C for some fixed constants C > ...

Let T be a set of n triangles in three-dimensional space, let s be a line segment, and let t be a triangle, both disjoint from T . We consider the visibility map of s with respect to T , i.e., the portions of T that are visible from s. The visibility map of t is defined analogously. We look at two different notions of visibility: strong (complete) visibility, and weak (partial) visibility. The ...

We studied the effects of the H(2)S donor Na(2)S on the mean arterial blood pressure (MAP) and heart and breathing rates of anesthetized Wistar rats in the presence and absence of captopril. Bolus administration of Na(2)S (1-4 micromol/kg) into the right jugular vein transiently decreased heart and increased breathing rates; at 8-30 micromol/kg, Na(2)S had a biphasic effect, transiently decreas...

Techniques in encrypting digital images play a crucial role in the prevention of unauthorized access. This paper focuses on color image encryption and decryption using 3D chaotic map with AES key dependent S-Boxes. It contains four major parts which are Exclusive X-or forward and backward, 3D Logistic Map, 3D Chebyshev map, and 2D Arnold Cat Map, and Dynamic S-box of AES. Here, Exclusive X-or i...

In this work, we consider the model of $${{\,\mathrm{{\mathbb {S}}^2\times {\mathbb {R}}}\,}}$$ isometric to $${\mathbb {R}}^3{\setminus } \{0\}$$ , endowed with a metric conformally equivalent Euclidean {R}}^3$$ and define Gauss map for surfaces in likewise 3-space. We show as main result that any two minimal conformal immersions same non-constant differ by only types ambient isometries: eithe...