Dynamical properties of a particle in a wave packet: Scaling invariance and boundary crisis

Some dynamical properties present in a problem concerning the acceleration of particles in a wave packet are studied. The dynamics of the model is described in terms of a two-dimensional area preserving map. We show that the phase space is mixed in the sense that there are regular and chaotic regions coexisting. We use a connection with the standard map in order to find the position of the first invariant spanning curve which borders the chaotic sea. We find that the position of the first invariant spanning curve increases as a power of the control parameter with the exponent 2/3. The standard deviation of the kinetic energy of an ensemble of initial conditions obeys a power law as a function of time, and saturates after some crossover. Scaling formalism is used in order to characterise the chaotic region close to the transition from integrability to nonintegrability and a relationship between the power law exponents is derived. The formalism can be applied in many different systems with mixed phase space. Then, dissipation is introduced into the model and therefore the property of area preservation is broken, and consequently attractors are observed. We show that after a small change of the dissipation, the chaotic attractor as well as its basin of attraction are destroyed, thus leading the system to experience a boundary crisis. The transient after the crisis follows a power law with exponent -2. (C) 2011 Elsevier Ltd. All rights reserved.

Chromatic alteration in Arenaeus cribrarius (Lamarck) (Crustacea, Portunidae): an indicator of sexual maturity

Some individuals of the species Arenaeus cribrarius (Lamarck, 1818) bear a characteristic pink abdomen, which is notably different from the usual white coloration. The incidence of this chromatic alteration was determined for a single population and its relation with other individual variables were examined. The individuals were monthly collected from May, 1991 to April, 1993, in Ubatuba, São Paulo, with the aid of a shrimp fishery boat provided with double-rig trawling nets. All specimens were sexed, measured (CW = carapace width), distributed in 10-mm size classes and classified according to growth phase (juvenile and adult), molting condition and development stage of gonads. The occurrence of pink-colored morphs was also recorded. From a total of 2,096 collected individuals, only 60 females (nine of those ovigerous) presented a pink-colored abdomen, which represents 2.9% of the whole sample and 5.2% of the females. Almost all of them were intermolt individuals (96.6%) and 63.3% showed mature gonads. According to published data, size at the onset of functional maturity in A. cribrarius females is around 60 mm CW, from which the incidence of pink morphs and ovigerous crabs were recorded. The obtained results suggest that such a chromatic alteration is associated to sexual maturity in these females. This characteristic may enhance the attraction potential for mating, shortly after the puberty molt.

Resistance of wild and near isogenic bean lines with arcelin variants to Zabrotes subfasciatus (Boheman): I - Winter crop

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Respostas da Tilápia do Nilo (Oreochromis niloticus) à atratividade e palatabilidade de ingredientes utilizados na alimentação de peixes

Avaliaram-se as respostas da tilápia do Nilo à atratividade e palatabilidade de 14 ingredientes. O método utilizado foi de dupla escolha, comparando-se cada ingrediente peletizado à uma ração controle. Foram empregados quatro aquários (750 litros) contendo, cada um, três alevinos e dois comedouros instalados nos cantos direito e esquerdo, sendo registrados tempo decorrido entre colocação do ingrediente e chegada dos animais aos comedouros, freqüência de visitas aos comedouros, número de grânulos ingeridos e freqüência de ejeções. Os tratamentos foram comparados pela prova não-paramétrica de Kruskal-Wallis e a comparação dos ingredientes para o conjunto de variáveis, por intermédio da Análise de Agrupamento e Análise de Componentes Principais. Os ingredientes foram assim classificados: a) baixa atrato-palatabilidade = farelos de trigo, soja e algodão, farinha e raspa de mandioca, farinha de girassol e fubá de milho, b) média atrato-palatabilidade = levedura de cana-de-açúcar e glúten de milho e c) alta atrato-palatabilidade = ovo integral liofilizado, farinhas de crisálidas, peixes, carne e camarão. Ingestão de grânulos (manhã e tarde) e freqüência de visitas aos comedouros (tarde) foram consideradas as variáveis mais discriminatórias e freqüência de ejeção de grânulos e tempo gasto para aproximação dos comedouros (manhã e tarde), as menos discriminatórias. As respostas comportamentais dos peixes variaram de acordo com o ingrediente apresentado. A avaliação do grau de atrato-palatabilidade deve ser realizada considerando-se uma combinação de parâmetros.

Attitude stabilization of a rigid spacecraft in the geomagnetic field

An analytical method is proposed to study the attitude stability of a triaxial spacecraft moving in a circular Keplerian orbit in the geomagnetic field. The method is developed based on the electrodynamics effect of the influence of the Lorentz force acting on the charged spacecraft's surface. We assume that the rigid spacecraft is equipped with an electrostatic charged protective shield, having an intrinsic magnetic moment. The main elements of this shield are an electrostatic charged cylindrical screen surrounding the protected volume of the spacecraft. The rotational motion of the spacecraft about its centre of mass due to torques from gravitational force, as well Lorentz and magnetic forces is investigated. The equilibrium positions of the spacecraft in the orbital coordinate system are obtained. The necessary and sufficient conditions for the stability of the spacecraft's equilibrium positions are constructed using Lyapunov's direct method. The numerical results have shown that the Lorentz force has a significant influence on the stability of the equilibrium positions, which can affect the attitude stabilization of the spacecraft. (C) 2007 COSPAR. Published by Elsevier Ltd. All rights reserved.