Four modes competition and chaos in a shell

Steady-state chaotic vibrations of a shallow shell as a system with a nonsymmetrical restoring force and one equilibrium state are considered. Mode interaction and its effect on a chaotic behavior of the shell is studied. The terms "natural" and "imposed" chaos are introduced for the response of resonant and nonresonant modes. It is shown that such a qualitative difference is important for better understanding of chaos in systems with distributed parameters, and may be very useful for numerical investigations. Some qualitative comparisons with previous papers on chaos in distributed mechanical systems are also made. (c) 1994 American Institute of Physics.     

Electrodiffusion of ions inside living cells

Electrodiffusion of ions, both inside and outside biologicalcells, are of utmost importance to proper cellular functions.Experiments indicate that both ion concentrations and electropotentialcan jump discontinuously across the cell membranes. We studya system of nonlinear partial differential equations modellingsuch phenomena. Jump conditions for species concentrations andelectropotential across cell membranes are imposed. Under zero-fluxboundary conditions for one-dimensional domains, the solutionsare proved to exist for all times. With further assumptions,these transient solutions will converge to the unique steady-statesolution. Numerical experiments in one- and two-dimensionaldomains are also performed in order to study some unresolvedtheoretical issues.     

Production of carrier-free radioisotopes from targets irradiated with deuterons or alpha particles in the U-120 Cracow Cyclotron

The results of experiments on the preparation of carrier-free lanthanides from some targets irradiated in the U-120 cyclotron are presented. In the reactions¹⁵¹Eu(α, n)^154m,154Tb,¹⁵¹Eu(α, 2n)¹⁵³Tb,¹⁵⁵Gd(α, 2n)¹⁵⁷Dy,¹⁶⁹Tm(α, n)¹⁷²Lu and¹⁶⁹Tm(α, 2n)¹⁷¹Lu, the isotopes^154m,154+153Tb,¹⁵⁷Dy and^172+171Lu were obtained. These were seaprated by means of ion-exchange chromatography. Part II: see Ref. 2     

Molecular structure of the unusual complex of 1-piperidineacetic acid with 2,4,6-trinitrophenol studied by X-ray, FTIR and H, C and C CP MAS NMR

Crystals containing three kinds of molecules 1-piperidiniumacetate (II), 1-piperidiniumacetic acid (III) and 2,4,6-trinitrophenolate (picrate, TNP⁻), belong to the monoclinic system, space group P2₁/c and Z=4, a=12.831(3), b=26.093(5), c=7.157(1) Å, β=101.18(3)°, R=0.0758. The zwitterion molecule (II) is a double acceptor of protons from two molecules of 1-piperidiniumacetic acid (III) (N–HO, 2.735(5) Å and O–HO, 2.472(5) Å), and a donor of proton to the picrate molecule (N–HO, 2.747(5) Å). These three molecules, which have three donor centers and several acceptor groups, form hydrogen-bonded chains parallel to the z axis. The oxygen atoms inactive in these hydrogen bonds, are engaged in the C–HO short contacts, which can be treated as weak hydrogen bonds, and join the chains into a three-dimensional network. The presence of protonated 1-piperidineacetic acid (III) and its zwitterion (II) in the crystal has been confirmed by ¹³C CP MAS NMR and solid state FTIR spectra.