Utilizing true periodic orbits in chaos-based cryptography

Nonlinear Dynamics - Digital realizations of chaos-based cryptosystems suffer from lack of a reliable method for implementation. The common choice for implementation is to use fixed or...     

Contamination by butyltin compounds in harbour porpoise (Phocoena phocoena) from the Black Sea

Concentrations of butyltin compounds (BTs) were determined in harbour porpoise (Phocoena phocoena) collected from the Turkish coastal waters of the Black Sea. Total butyltin compounds (∑ BTs) in the liver were in the range of 89–219 ng/g on a wet weight basis. The dibutyltin (DBT) residues were higher than those of tributyltin (TBT), suggesting the degradation of TBT to DBT in the liver and the metabolic capacity comparable to other marine mammals. Any sex difference and age-dependent accumulation of BTs residues were not found in harbour porpoises, but residue levels increased until maturity and then remained constant. When compared with other marine mammals, the present results indicate that the Black Sea is also contaminated with butyltin compounds, but to a lesser degree than coastal waters of developed nations. The biomagnification factor in harbour porpoises was 0.8, which was comparable with pinnipeds and lower than cetaceans. Received: 23 December 1996 / Revised: 15 April 1997 / Accepted: 16 April 1997     

trans-2,4,4,6,8,8-Hexamorpholino-2,6-bis­(n-propyl­amino)cyclo-2λ5,4λ5,6λ5,8λ5-tetraphosph­aza­tetraene

The title compound, C₃₀H₆₄N₁₂O₆P₄, consists of a centrosymmetric chair-shaped cyclic tetrameric phosphazene ring with six bulky morpholino and two n-propyl­amino side groups. The two n-propyl­amino side groups are in trans positions. The bulky substituents mainly determine the eight-membered-ring conformation. The endocyclic N—P—N angles around the P atoms having different substituents are not the same as the P—N—P angles of the macrocyclic ring.     

Weakly ferromagnetic microspheres bearing paramagnetic CrBO3 core and nonmagnetic polyvinylbutyral shell

A new class of core–shell microspheres was prepared through a modified solvent evaporation technique by coating chromium orthoborate (CrBO₃) particles with a commercial resin, namely Mowital®B30HH (polyvinyl butyral, PVB). Well‐shaped spherical particles were obtained in diameters ranging from 40 to 420 µm. The morphological, structural, thermal, and magnetic properties were characterized by SEM, FTIR, UV–Vis, VSM (Vibrating Sample Magnetometry), and thermal analysis techniques. Uncoated CrBO₃ is paramagnetic at room temperature and antiferromagnetic at low temperatures (T_N = 12 K) while PVB itself is nonmagnetic at room temperature. The results indicated that the microspheres having a paramagnetic core and nonmagnetic shell displayed weakly ferromagnetic properties at room temperature. The observed ferromagnetism was correlated with the particle size and higher saturation magnetization values were achieved with smaller microspheres. This unconventional magnetic behavior can be tuned by varying the particle size and may allow CrBO₃/PVB microspheres to serve as a smart material in future applications. Copyright © 2009 John Wiley & Sons, Ltd.     

Commuting Nilpotent Operators and Maximal Rank

Let X, [(X)\tilde]{\widetilde X} be commuting nilpotent matrices over k with nilpotency p ^t , where k is an algebraically closed field of positive characteristic p. We show that if X- [(X)\tilde]{X- \widetilde X} is a certain linear combination of products of pairwise commuting nilpotent matrices, then X is of maximal rank if and only if [(X)\tilde]{\widetilde X} is of maximal rank.     

The solutions of the<Emphasis Type="Italic">n</Emphasis>-dimensional Bessel diamond operator and the Fourier-Bessel transform of their convolution

In this article, the operator is introduced and named as the Bessel diamond operator iteratedk times and is defined by

Excited state aromatization assisted push-pull abilities of two unsaturated oxazolone derivatives

Molecular structures of two unsaturated oxazolone derivatives involving furan rings, which are decorated with p-tolyl (FurM) and 4-nitro phenyl (FurN), were investigated by X-ray crystallography and quantum chemical calculations. Their ground and excited states were examined by DFT and TD-DFT computations with the aid of topological electron density studies, NBO and Charge Decomposition Analysis. Both compounds have push-pull (D–π–A) framework using oxazolone ring as π-linker. Depending on the transitions from the ground to excited states, intramolecular charge transfer (ICT) in both compounds results in aromatization of oxazolones. Push-pull ability of FurN has more pronounced than that of FurM. The use of furan instead of almost fully aromatic benzenoid ring reduces HOMO?LUMO band gap due to relatively low aromaticity level of furan. Introduction of nitro substituent leads to a further reduction in HOMO?LUMO gap. In addition, electronic redistribution in the excited state results in aromatization of oxazolone moieties without elongation of carbonyl bonds.     

Can an observable with discrete eigenvalues be conjugate to a continuum observable?

We point out that, in combination with the normalization and completeness relations for the eigenkets of the operators, the commutation relation [O, O]=±ih places severe restrictions on the eigenvalues of the two operators O and O. These restrictions can be used both to determine the character of the pairs of conjugate observables that can be involved in uncertainty relations and to predict thequantized form of the eigenvalues of a discrete observable which is conjugate to a continuum observable with a finite spectrum.