Resonances of the cusp family

We study a family of chaotic maps with limit cases-the tent map and the cusp map (the cusp family). We discuss the spectral properties of the corresponding Frobenius-Perron operator in different function spaces including spaces of analytical functions and study numerically the eigenvalues and eigenfunctions.

Roche tomography of the secondary stars in CVs

The secondary stars in cataclysmic variables (CVs) are key to our understanding of the origin, evolution and behaviour of this class of interacting binary. In seeking a fuller understanding of these objects, the challenge for observers is to obtain images of the secondary star. This goal can be achieved through Roche tomography, an indirect imaging technique that can be used to map the Roche-lobe-filling secondary. The review begins with a description of the basic principles that underpin Roche tomography, including methods for determining the system parameters. Finally, we conclude with a look at the main scientific highlights to date, including the first unambiguous detection of starspots on AE Aqr B, and consider the future prospects of this technique.

Simple control of the polarisation in uniform hybrid waveguide-planar leaky-wave antennas

A simple and original mechanism to control the polarisation of uniform hybrid waveguide-planar leaky-wave antennas is proposed. The operation is based on introducing simple modifications of the planar dimensions of the structure cross-section, which is shown to control the horizontal and vertical components of the radiated fields. The proposed antenna dispenses with the need for periodic elements, commonly used in flexible polarised leaky-wave antennas, and therefore significantly reduces the design complexity. Parametric curves have been obtained to assist in the simple and efficient design of the proposed antenna. The novel mechanism is illustrated by means of several antenna prototypes operating at 5.7 GHz, producing linear, elliptical and circular polarisations. Commercial three-dimensional Finite Element Method has been used for the simulations, and the results are validated with experimental testing.[br].

Temperature Dependence of the Primary Relaxation in 1-Hexyl-3-methylimidazolium bis{(trifluoromethyl)sulfonyl}imide

We present results from complementary characterizations of the primary relaxation rate of a room temperature ionic liquid (RTIL), 1-hexyl-3-methylimidazolium bis{(trifluoromethyl)sulfonyl} imide, [C(6)mim][Tf2N], over a wide temperature range. This extensive data set is successfully merged with existing literature data for conductivity, viscosity, and NMR diffusion coefficients thus providing, for the case of RTILs, a unique description of the primary process relaxation map over more than 12 decades in relaxation rate and between 185 and 430 K. This unique data set allows a detailed characterization of the VTF parameters for the primary process, that are: B = 890 K, T-0 = 155.2 K, leading to a fragility index m = 71, corresponding to an intermediate fragility. For the first time neutron spin echo data from a fully deuteriated sample of RTIL at the two main interference peaks, Q = 0.76 and 1.4 angstrom(-1) are presented. At high temperature (T > 250 K), the collective structural relaxation rate follows the viscosity behavior; however at lower temperatures it deviates from the viscosity behavior, indicating the existence of a faster process.

Convergence acceleration of the doubly periodic Green's function for the analysis of thin wire arrays

A method is proposed to accelerate the evaluation of the Green's function of an infinite double periodic array of thin wire antennas. The method is based on the expansion of the Green's function into series corresponding to the propagating and evanescent waves and the use of Poisson and Kummer transformations enhanced with the analytic summation of the slowly convergent asymptotic terms. Unlike existing techniques the procedure reported here provides uniform convergence regardless of the geometrical parameters of the problem or plane wave excitation wavelength. In addition, it is numerically stable and does not require numerical integration or internal tuning parameters, since all necessary series are directly calculated in terms of analytical functions. This means that for nonlinear problem scenarios that the algorithm can be deployed without run time intervention or recursive adjustment within a harmonic balance engine. Numerical examples are provided to illustrate the efficiency and accuracy of the developed approach as compared with the Ewald method for which these classes of problems requires run time splitting parameter adaptation.

On the continuity of the support of masa-bimodules

We anounce results on the continuity of the map sending a masa-bimodule to its support. The proofs of the results will be published elsewhere.

Enforcing Member State Compliance with EU Environmental Law: A Critical Evaulation of the Use of Financial Penalties

The 1993 Treaty on European Union finally closed a legal vacuum in
EU law, by giving the Court the power to impose financial penalties to
enforce compliance with its judgments. Today, this power is found
within Article 260(2) of the Treaty on the Functioning of the
European Union. Drawing upon case law, this article examines the
role that the Court’s enforcement powers have played in relation to
EU environmental law. It argues that EU law has yet to make full use
of their potential. The article commences with the Commission and
questions whether it has sufficient resources to carry out its functions
under Article 260(2). The article also examines the ongoing problem of
Member State delay in complying with Court judgments and the
weight given to environmental considerations in the Court’s decision
making on financial penalties. The article concludes by examining the
implications of the Lisbon Treaty.

Early modern Ireland and the history of the child

Analysis of public policy on the care of children and youth in nineteenth- and twentieth-century Ireland has generated a substantial historiography in recent years. By contrast there has been far less exploration of the state's attitude to young people in early modern Irish society. The historical dimension to the current debate on state care of minors is usually identified as beginning in the nineteenth century but the institutional custody of children originated in the sixteenth century. A central aim of this essay is to document the early modern context of public concern with children and youth in order to provide a more precise historical dimension to the contemporary debate.

Comprehensive Inhibitor Profiling Of The Proteus Mirabilis Metalloprotease Virulence Factor Zapa (Mirabilysin)

In this study we report for the first time the comprehensive inhibitor profiling of the Proteus mirabilis metalloprotease virulence factor, ZapA (mirabilysin) using a 160 compound focused library of N-alpha mercaptoamide dipeptides, in order to map the S1´ and S2´ binding site preferences of this important enzyme. This study has revealed a preference for the aromatic residues tyrosine and tryptophan in P1´ and aliphatic residues in P2´. From this library, six compounds were identified which exhibited sub- to low micromolar Ki values. The most potent inactivator, SH-CO2-Y-V-NH2 was capable of preventing ZapA-mediated hydrolysis of heat denatured IgA, indicating these inhibitors may be capable of protecting host proteins against ZapA during colonisation and infection.