Psi-series solutions of the cubic H\'{e}non-Heiles system and their convergence

The cubic H\'enon-Heiles system contains parameters, for most values of which, the system is not integrable. In such parameter regimes, the general solution is expressible in formal expansions about arbitrary movable branch points, the so-called psi-series expansions. In this paper, the convergence of known, as well as new, psi-series solutions on real time intervals is proved, thereby establishing that the formal solutions are actual solutions

Orders of magnitude loss reduction in photonic bandgap fibers by engineering the core surround

We demonstrate how to reduce the loss in photonic bandgap fibers by orders of magnitude by varying the radius of the corner strands in the core surround. As a fundamental working principle we find that changing the corner strand radius can lead to backscattering of light into the fiber core. Selecting an optimal corner strand radius can thus reduce the loss of the fundamental core mode in a specific wavelength range by almost two orders of magnitude when compared to an unmodified cladding structure. Using the optimal corner radius for each transmission window, we observe the low-loss behavior for the first and second bandgaps, with the losses in the second bandgap being even lower than that of the first one. Our approach of reducing the confinement loss is conceptually applicable to all kinds of photonic bandgap fibers including hollow core and all-glass fibers as well as on-chip light cages. Therefore, our concept paves the way to low-loss light guidance in such systems with substantially reduced fabrication complexity

Quantum central limit theorem for continuous-time quantum walks on odd graphs in quantum probability theory

The method of the quantum probability theory only requires simple structural data of graph and allows us to avoid a heavy combinational argument often necessary to obtain full description of spectrum of the adjacency matrix. In the present paper, by using the idea of calculation of the probability amplitudes for continuous-time quantum walk in terms of the quantum probability theory, we investigate quantum central limit theorem for continuous-time quantum walks on odd graphs.Comment: 19 page, 1 figure

Estimates of higher-dimensional vacuum condensates from the instanton vacuum

We calculate the values of non-factorizable dimension-7 vacuum condensates in the instanton vacuum. We comment on a method, recently proposed by Oganesian, to estimate the dimension-7 condensates by factorization of dimension-10 condensates in various inequivalent ways. The instanton estimates could be used to analyze the stability of QCD sum rules with increasing dimensions.Comment: 8 pages, Late

Is the classical Bukhvostov-Lipatov model integrable? A Painlev\'e analysis

In this work we apply the Weiss, Tabor and Carnevale integrability criterion (Painlev\'e analysis) to the classical version of the two dimensional Bukhvostov-Lipatov model. We are led to the conclusion that the model is not integrable classically, except at a trivial point where the theory can be described in terms of two uncoupled sine-Gordon models

CARACTERÍSTICAS DO SÊMEN DO CÃO APÓS DILUIÇÃO E RESFRIAMENTO

O objetivo do presente trabalho foi de avaliar a eficiência de quatro diferentes diluentes na conservação do sêmen canino, no decorrer de 96 horas de armazenamento a 5oC. Para o experimento foram selecionados dois cães sem raça definida, de mesma idade e porte. Foram colhidos cinco ejaculados de cada cão durante cinco semanas, sendo que os ejaculados foram diluídos respectivamente em TRIS-gema (A), leite desnatado reidratado(B), TRIS-gema + secreção prostática (C) e leite desnatado reidratado + secreção prostática(D). As amostras foram avaliadas antes da diluição e na hora 0 (imediatamente após a diluição), 24, 48, 72 e 96 horas pós-resfriamento a 5oC, assim como as amostras de sêmen não diluído foram avaliadas da mesma forma, para efeitos comparativos. A avaliação do sêmen deu-se através da motilidade progressiva e da integridade de acrossoma. A motilidade espermática mínima de 50,0 %, permaneceu em 53,5% até 72 horas para a diluição do sêmen canino em diluente A; em 59,5 % até 48 horas para o diluente B; em 61,5 % até 48 horas para o diluente C e em 57,5 % até 24 horas para o diluente D. Por sua vez as células espermáticas mantiveram a integridade de acrossomo em 66,5%, 65,4%, 74,2% e 64,7% até 96 horas pós-diluição e resfriamento para os diluentes A, B,C e D, respectivamente. Pôde-se concluir que o diluente TRIS-gema mostrou-se superior aos demais, porque manteve a motilidade espermática por mais tempo. O sêmen não diluído foi incapaz de manter a motilidade progressiva dentro das 24 horas, embora tenha mantido a integridade de acrossomo até 72 horas após sua obtenção. Canine semen characteristics after dilution and cooling Abstract The aim of the current study was to evaluate the efficiency of four different diluents for canine semen preservation during 96 hours of storage at 5 oC. Two mixed-breed dogs of about the same age and size were used for this study. Five ejaculates were collected from each dog within five weeks, and the ejaculates were divided in TRIS-yolk (A), re-hydrated milk without cream (B), TRISyolk + prostatic secretion (C) and re-hydrated milk without cream + prostatic secretion (D). The samples were evaluated before dilution was performed and at times 0 (immediately after dilution), 24, 48, 72 and 96 hours after-cooling at 5 oC, as well as the non-diluted semen samples (for comparative purposes). The semen evaluation was performed accessing progressive motility and the acrossomal integrity. The minimal spermatic motility was of 50.0 % and remained in 53.5% until 72 hours for diluent A; 59.5% until 48 hours for diluent B, 61.5% until 48 hours for diluent C and 57.5% until 24 hours for diluent D. The spermatic cells sustained the acrossomal integrity in 66.5%, 65.4%, 74.2% and 64.7% until 96 hours after dilution and cooling for diluents A, B, C and D, respectively. In conclusion, the TRIS-yolk diluent was superior because it sustained the spermatic motility for a longer period. The non-diluted semen was unable to maintain the progressive motility within the 24 hours, although it kept the acrossomal integrity until 72 hours after being collected

Information decomposition of symbolic sequences

We developed a non-parametric method of Information Decomposition (ID) of a content of any symbolical sequence. The method is based on the calculation of Shannon mutual information between analyzed and artificial symbolical sequences, and allows the revealing of latent periodicity in any symbolical sequence. We show the stability of the ID method in the case of a large number of random letter changes in an analyzed symbolic sequence. We demonstrate the possibilities of the method, analyzing both poems, and DNA and protein sequences. In DNA and protein sequences we show the existence of many DNA and amino acid sequences with different types and lengths of latent periodicity. The possible origin of latent periodicity for different symbolical sequences is discussed.Comment: 18 pages, 8 figure

Quantum Monte Carlo simulation for the conductance of one-dimensional quantum spin systems

Recently, the stochastic series expansion (SSE) has been proposed as a powerful MC-method, which allows simulations at low $T$ for quantum-spin systems. We show that the SSE allows to compute the magnetic conductance for various one-dimensional spin systems without further approximations. We consider various modifications of the anisotropic Heisenberg chain. We recover the Kane-Fisher scaling for one impurity in a Luttinger-liquid and study the influence of non-interacting leads for the conductance of an interacting system.Comment: 8 pages, 9 figure

Repeating the Errors of Our Parents? Family-of-Origin Spouse Violence and Observed Conflict Management in Engaged Couples

Based on a developmental social learning analysis, it was hypothesized that observing parental violence predisposes partners to difficulties in managing couple conflict. Seventy-one engaged couples were assessed on their observation of parental violence in their family of origin. All couples were videotaped discussing two areas of current relationship conflict, and their cognitions during the interactions were assessed using a video-mediated recall procedure. Couples in which the male partner reported observing parental violence (male-exposed couples) showed more negative affect and communication during conflict discussions than couples in which neither partner reported observing parental violence (unexposed couples). Couples in which only the female partner reported observing parental violence (female- exposed couples) did not differ from unexposed couples in their affect or behavior. Female-exposed couples reported more negative cognitions than unexposed couples, but male-exposed couples did not differ from unexposed couples in their reported cognitions