Fractional Hamiltonian Monodromy from a Gauss-Manin Monodromy

Fractional Hamiltonian Monodromy is a generalization of the notion of Hamiltonian Monodromy, recently introduced by N. N. Nekhoroshev, D. A. Sadovskii and B. I. Zhilinskii for energy-momentum maps whose image has a particular type of non-isolated singularities. In this paper, we analyze the notion of Fractional Hamiltonian Monodromy in terms of the Gauss-Manin Monodromy of a Riemann surface constructed from the energy-momentum map and associated to a loop in complex space which bypasses the line of singularities. We also prove some propositions on Fractional Hamiltonian Monodromy for 1:-n and m:-n resonant systems.Comment: 39 pages, 24 figures. submitted to J. Math. Phy

Evaluation of a French parent-training program in young children with autism spectrum disorder = Évaluation d'un programme francophone de formation aux habiletés parentales dans le cadre des troubles du spectre de l'autisme auprès d'un groupe pilote

Parent training programs (PTs) in young children with autism spectrum disorders (ASDs) are known to reduce parenting stress and improve child's behavior and parent-child interactions. Few PTs are available to French speaking families. In order to provide them with this type of intervention, we developed a French parent-training program of 12 bimonthly sessions and three individual home visits based on applied behavior analysis. The purpose of this study is to evaluate the social validity and efficacy of this new PT on eighteen parents who have a child with ASD and developmental delay. For 16 parents, the PT was considered effective, the objectives targeted important and the strategies learned acceptable for use with children. They have significantly improved their knowledge in ASD and behavioral intervention strategies and their children's socialization skills, and reduce their parental stress. This new French PT program seems to be a promising intervention. Résumé. Objectifs : Le programme intitulé « l’ABC du comportement de l’enfant ayant un TSA : des parents en action ! » est un programme psychoéducatif de 12 séances de 2 heures et de 3 visites à domicile destiné aux familles de jeunes enfants âgés jusqu’à 7 ans et ayant un trouble du spectre de l’autisme (TSA) avec retard de développement. Ce programme de formation aux habiletés parentales (PFHP), basé sur l’analyse appliquée du comportement, a été développé en réponse au besoin de formation des parents issus d’une population francophone pour faire face au stress qu’engendrent les difficultés de comportement de leur enfant en environnement familial. Cette nouvelle intervention, offerte en groupe, a été proposé à 30 parents sur un premier site francophone. Cette étude vise à évaluer la validité sociale et l’efficacité de ce nouveau PFHP. Méthode : Ce PFHP a été proposé à trois groupes consécutifs de 4 à 6 familles. Il a été évalué auprès de 18 parents et 10 enfants. Pour évaluer la validité sociale du programme, les parents ont rempli des questionnaires sur la signification sociale des objectifs ciblés, l’acceptabilité des procédures utilisées et l’importance sociale des effets obtenus. L’efficacité du PFHP est évaluée au travers de questionnaires remplis en pré-intervention, post-intervention et en suivi trois mois après la fin du programme. Ces questionnaires portent sur les connaissances des parents, le niveau de stress parental, les symptômes dépressifs et les comportements de l’enfant. Résultats : Parmi les 18 participants, 16 parents sont satisfaits de l’intervention. Ils considèrent les objectifs ciblés comme importants, les procédures transmises comme acceptables à utiliser et les compétences parentales développées comme satisfaisantes. Le PFHP a été efficace tant au niveau des problématiques parentales que des acquisitions des enfants. Une augmentation des connaissances et des pratiques éducatives est observée avec une diminution du stress parental. Une amélioration des compétences sociales des enfants est également constatée. Le PFHP n’a cependant pas été bénéfique pour une famille dont la situation s’est détériorée. Conclusion : Ce PFHP est une intervention prometteuse pour répondre aux besoins de formation des familles des jeunes enfants avec un TSA et un retard de développement. Il reste toutefois insuffisant pour répondre aux besoins des parents en grande détresse. Un manuel de ce PFHP a été élaboré afin de le proposer à un plus grand nombre de parents sur différents sites francophones pour valider les effets du programme

On the Number of Zeros of Abelian Integrals: A Constructive Solution of the Infinitesimal Hilbert Sixteenth Problem

We prove that the number of limit cycles generated by a small non-conservative perturbation of a Hamiltonian polynomial vector field on the plane, is bounded by a double exponential of the degree of the fields. This solves the long-standing tangential Hilbert 16th problem. The proof uses only the fact that Abelian integrals of a given degree are horizontal sections of a regular flat meromorphic connection (Gauss-Manin connection) with a quasiunipotent monodromy group.Comment: Final revisio

Influence of halloysite nanotubes on physical and mechanical properties of cellulose fibres reinforced vinyl ester composites

Natural fibres are generally added to polymer matrix composites to produce materials with the desirable mechanical properties of higher specific strength and higher specific modulus while at the same time to maintain a low density and low cost. The physical and mechanical properties of polymer composites can be enhanced through the addition of nanofillers such as halloysite nanotubes. This article describes the fabrication of vinyl ester eco-composites and eco-nanocomposites and characterizes these samples in terms of water absorption, mechanical and thermal properties. Weight gain test and Fourier transform infrared analysis indicated that 5% halloysite nanotube addition gave favourable reduction in the water absorption and increased the fibre–matrix adhesion leading to improved strength properties in the eco-nanocomposites. However, halloysite nanotube addition resulted in reduced toughness but improved thermal stability

The reactivity of linseed and soybean oil with different epoxidation degree towards vinyl acetate and impact of the resulting copolymer on the wood durability

Linseed (LO) and soybean oil (SO) were in–situ epoxidized with peracetic acid to produce different degree of epoxidized LO and epoxidized SO. For comparison purpose, commercial epoxidized linseed oil (ELO®) and epoxidized soybean oil (ESO®) were also included in the study. The effect of epoxidation degree on the copolymerization reaction between epoxidized oils and vinyl acetate (VAc) was investigated. Results showed that a copolymer can be formed between VAc and epoxidized LO with high epoxy content, while no reaction occurred between VAc and SO or its epoxidized derivatives. As the most reactive monomer among the studied oils, the epoxidized LO with highest epoxy content (i.e. ELO®) was mixed with VAc and then impregnated into the wood using three different ELO®/VAc formulations either as solution or as emulsions. After curing, the impact of the resulting copolymer issued from the three tested formulations on the wood durability was evaluated. Results showed that the formulation comprising VAc, ELO®, H2O, K2S2O8 and alkaline emulsifier (Formulation 3) can significantly improve wood’s durability against white rot- (Trametes versicolor) and brown rot fungi (Postia placenta and Coniophora puteana). Treated wood of 8% weight percentage gain (WPG) was sufficient to ensure decay resistance against the test fungi with less than 5% mass loss

A New Efficient Authenticated and Key Agreement Scheme for SIP Using Digital Signature Algorithm on Elliptic Curves

Voice over Internet Protocol (VoIP) has been recently one of the more popular applications in Internet technology. It benefits lower cost of equipment, operation, and better integration with data applications than voice communications over telephone networks. However, the voice packets delivered over the Internet are not protected. The session initiation protocol (SIP) is widely used signaling protocol that controls communications on the Internet, typically using hypertext transport protocol (HTTP) digest authentication, which is vulnerable to many forms of attacks. This paper proposes a new secure authentication and key agreement scheme based on Digital Signature Algorithm (DSA) and Elliptic Curve Cryptography (ECC) named (ECDSA). Security analysis demonstrates that the proposed scheme can resist various attacks and it can be applied to authenticate the users with different SIP domains

Évolution des styles d’attachement romantique et interpersonnel au cours de l’hospitalisation chez des femmes adultes déprimées

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