The correlation functions near intermittency in a one-dimensional Piecewise parabolic map

Piecewise parabolic maps constitute a family of maps in the fully developed chaotic state and depending on a parameter that can be smoothly tuned to a weakly intermittent situation. Approximate analytic expressions are derived for the corresponding correlation functions. These expressions produce power-law decay at intermittency and a crossover from power-law decay to exponential decay below intermittency. It is shown that the scaling functions and the exponent of the power law depend on the kind of the correlations.     

Photoinduzierte umlagerung von isoxazolinen: Syntheseweg zu 2,4,5,8-Tetrahedron-1,3-dicx-5-azocinen

A high yield 2,4,5,8-tetrahydro-1,3-diox-5-azocine synthesis, which employs a sequence of cycloaddition and photoinduced rearrangement has been developed.     

Unusual demethylation of 1-dimethylamine-1-carba-closo-dodecarbonate(11)

1-Dimethylamine-1-carba-closo-dodecaborane(1), 1-(CH₃)₂NH-1-CB₁₁H₁₁, can be smoothly demethylated with iodine in weakly alkaline solution to produce 1-methylamine-1-carba-closo-dodecarborane(11), 1-CH₃NH₂-1-CB₁₁H₁₁. The latter compound undergoes formylation with formaldehyde and iodine to give 1-hydroxymethylene-methylamine-1-carba-closo-dodecaborane(11). Further chemical transformations of both compounds are reported.     

Laser ablation of lithium and lithium/cadmium alloy studied by time-of-flight mass spectrometry

Ablation of solid lithium and lithium/cadmium alloy was performed by a 308-nm, nanosecond excimer laser. Analysis of the atomic and molecular composition of the plume in vacuum and in nitrogen atmosphere was performed by means of a linear time-of-flight mass spectrometer. Several ionic masses were observed and systematically studied with respect to the laser fluence, laser beam spot size, background pressure, and target composition. PACS 52.38.Mf; 52.50.Jm; 82.80.Rt     

Generalized reflective cum coreflective classes in Top and Unif

The Herrlich's problem from [8] whether there are nontrivial classes of topological spaces that are both almost reflective or injective and almost coreflective or projective, is investigated in a more general setting using cone and cocone modifications of the classes used in the problem. We look also at the problem for uniform spaces. Typical results: There is no nontrivial multiprojective and orthogonal class of topological spaces; There is a reflective class of uniform spaces that is almost coreflective in Unif.Work on this paper was initiated while the first author was a C.N.R. visitor of the University of L'Aquila. Partial financial assistence by Charles University Grant 349/1994 is also acknowledged.     

Impossibility of superluminal communication: a simple quantum mechanical exercise

Even a very simple proof can show that the collapse of a wave function caused by a quantum measurement on one of two distant (correlated) subsystems cannot be used in any way for an instantaneous transfer of information between observers carrying out measurements on the subsystems.     

Non-linear free vibrations of buckled plates with deformable loaded edges

In the great majority of papers dealing with non-linear dynamic buckling of plates it is assumed that the edge at which the in-plane load is applied is not deformable (rigid). In those few references in which buckling with deformable edges is examined normally a variational approach is used, based on “trial” functions for the in-plane displacements, which approach often leads to incorrect results. In this paper an exact form of the solution is found for the in-plane displacements, it being assumed that the membrane force is, at all times, exactly equal to the load applied at the corresponding loaded edge. As is well known, when the plate is buckled through a rigid beam these two forces are only on average equal to each other. It is shown here that the deformability of the loaded edges for plates undergoing large deformations should be taken into account for square-shaped plates, especially for those close to the so-called “golden-cut” shape (the aspect ratio between the edges equal to √2), while for long rectangular plates this effect may be disregarded.