Boundary crisis and transient in a dissipative relativistic standard map

Some dynamical properties for a problem concerning the acceleration of particles in a wave packet are studied. The model is described in terms of a two-dimensional nonlinear map obtained from a Hamiltonian which describes the motion of a relativistic standard map. The phase space is mixed in the sense that there are regular and chaotic regions coexisting. When dissipation is introduced, the property of area preservation is broken and attractors emerge. We have shown that a tiny increase of the dissipation causes a change in the phase space. A chaotic attractor as well as its basin of attraction are destroyed thereby leading the system to experience a boundary crisis. We have characterized such a boundary crisis via a collision of the chaotic attractor with the stable manifold of a saddle fixed point. Once the chaotic attractor is destroyed, a chaotic transient described by a power law with exponent 1 is observed. (C) 2011 Elsevier B.V. All rights reserved.

Some possible evolutionary scenarios suggested by Cl-36 measurements in Guarani aquifer groundwaters

The Guarani aquifer underlies 1.2 M km(2) in the Parana sedimentary basin of South America and is an important source of water for industry, agriculture, and domestic supplies. To determine the sustainability of this aquifer we need to understand the dynamics of the groundwater system. This paper describes the first Cl-36 measurements on aquifer groundwaters and some measurements on South American rainwaters, thought to be indicative of the recharge water. The results are compared to previous work in the region, including other radioisotope analyses. A simple model is developed, incorporating radioactive decay, allowing scenarios to be developed for mixing different waters at different mixing rates. Thus, mixing scenarios consistent with other hydrogeological and hydrogeochemical data could be assessed. A model that mixes fresh recharging waters with formational waters, that contain elevated chloride levels, but low (in situ) Cl-36 levels, can explain most of the results presented here. The expectation that rainwater samples would provide a good end-member for modelling recharge proved problematic, however. As a consequence, it is suggested that either: the recharge waters are not sourced from the same locations as the rains; that the current rainfall and fallout conditions were significantly different in the past; or that the low levels of chloride in rainfall may have allowed some contamination of the samples by old (Cl-36-free) chloride during the recharge process. (c) 2008 Elsevier Ltd. All rights reserved.

Análise morfométrica da rede de drenagem da bacia do Rio do Machado-MG

Este artigo visa analisar a rede de drenagem através da utilização das técnicas de Índice Relação Declividade e Extensão do Curso de Água (RDE) e análise do perfil longitudinal dos vales, numa região chave do Planalto Sul de Minas, a fim de contribuir com estudos sobre evolução da paisagem da região sudeste do Brasil. A pesquisa foi realizada na Bacia Hidrográfica do Rio do Machado (MG), afluente do Alto Rio Grande, e regiões adjacentes, localizadas no Planalto Sul de Minas. O Rio do Machado apresenta uma particularidade em seu curso, com uma mudança brusca de direção tomada por sua drenagem na área próxima ao seu médio curso. Com a aplicação das técnicas pretende-se compreender melhor a dinâmica do relevo na área, identificando áreas com indício de ação neotectônica e seu padrão de distribuição na bacia.

Pressão de preconsolidação como ferramenta de análise da sustentabilidade estrutural de classes de solos com diferentes usos

O principal problema ambiental causado pelo uso do solo em áreas de preservação permanente longitudinais aos rios é a supressão da mata ciliar. O tipo e a intensidade desse uso alteram a estrutura do solo e comprometem as funções físicas dessas áreas, principalmente próximo aos cursos d'água. O objetivo deste trabalho foi avaliar a sustentabilidade estrutural, a partir do ensaio de compressão uniaxial, de três classes de solo (Cambissolo Háplico, Argissolo Amarelo e Gleissolo Háplico) e o impacto de diferentes tipos de usos do solo - não permitido pela legislação ambiental - de áreas de preservação permanente na sub-bacia do rio Ribeira de Iguape, SP. Foram delimitadas na área experimental três classes de solo: Cambissolo, Argissolo e Gleissolo. Numa primeira etapa, compararam-se as três classes de solos sob mata nativa e sob pastagem. Na segunda, avaliou-se a influência de diferentes tipos de uso do solo - cultivo de banana, pastagem degradada, uso silvipastoril e mata nativa - sobre a estrutura de um Cambissolo. A pressão de preconsolidação mostrou-se ferramenta capaz de identificar a degradação nos solos. O uso do solo nas áreas de preservação permanente altera a pressão de preconsolidação do solo, causando sua degradação estrutural, colocando em risco a sustentabilidade das terras, e não deve ser permitido. O Gleissolo mostrou maiores valores de pressão de preconsolidação em função de teores crescentes de água e, portanto, maior capacidade de suporte de carga em relação ao Cambissolo e Argissolo. O cultivo de banana foi o tipo de uso que mais degradou os solos das áreas de preservação permanente.

Avaliação de modelo matemático para estimar a radiação solar incidente sobre superfícies com diferentes exposições e declividades

Este trabalho teve por objetivo avaliar modelo matemático para estimar a radiação solar global diária sobre superfícies com diferentes exposições e declividades, no período de março de 2002 a março de 2003. A pesquisa foi desenvolvida em uma estrutura denominada Bacia Hidrográfica Experimental do Departamento de Engenharia Rural da UNESP, Câmpus de Jaboticabal - SP. Nessa estrutura, foram utilizadas superfícies caracterizadas como H, 10N, 10S, 20N, 20S, 10E, 10W, 20E e 20W. O sensor utilizado para medir a radiação solar global incidente nas superfícies estudadas foi um piranômetro da marca Kipp & Zonnen, modelo CM3. Para calcular a radiação solar incidente nas superfícies estudadas, foi utilizado o modelo de Kondratyev. As análises dos resultados foram feitas para o período diário, utilizando-se de análise de regressão e considerando o modelo linear (y = ax + b), na qual a variável dependente foi a radiação global medida (K¯M) e a radiação global calculada (K¯C) foi a variável independente. Os resultados deste estudo mostram que o modelo apresentou bons resultados para estimar a radiação nas superfícies H, 10N, 10S, 10E, 10W, 20E e 20W. Utilizando-se de dados de dias com céu límpido, foram obtidos os seguintes resultados: no inverno, o modelo foi preciso para estimar a radiação solar na superfície 20N, e apresentou resultados aceitáveis para estimar a radiação solar na superfície 20S.

O lambari Astyanax altiparanae (Characidae) pode ser um dispersor de sementes?

This work characterized the feeding of Astyanax altiparanae in the sub-basin of Corumbataí river and in the basin of Jacaré-pepira river with a focus on the ingestion of Croton urucurana seeds. The food items of Astyanax altiparanae were, in decreasing APD (Alimentary Preference Degree) order: allochthonous insects, allochthonous plant material, Croton urucurana seeds, autochthonous insects, sediments, autochthonous plant material, scales, oocytes and arachnidans. Croton urucurana seeds occurred during the summer, in the flood period. Lambari, Astyanax altiparanae, could be a secondary disperser of Croton urucurana seeds, however, the intensity and effectiveness of this dispersion may be still investigated.

Dinâmica da ocupação do solo bacia do Rio Itiquira, Mato Grosso, Brasil

The study area corresponds to the basin of the Itiquira river high course, totalling 5,361km2. In this area a study of the environmental dynamics was made, applying SIG techniques and satellite images of the years 1966, 1985 and 1996. In 1966 the areas of natural vegetation (forests and groves) occupied 90.64% of the total of the area, which was diminished to 60.57% in 1985 and to only 36.66% in 1996. In this process, 289,382ha of a total of 485,928ha of natural vegetal covering had been lost. At the same time, the agrarian surfaces (agriculture and pasture) that occupied only 0.52% of the total area in 1966, increased to 34.89% in 1985 and to 59.04% in 1996. In 30 years there was an increase of 313,725ha of cultivated lands, corresponding to about 113 times the land occupation of the year of 1966 (2,798ha). The areas classified as urban show a gradual increase since 1966, from 39ha in 1996 to 58ha in 1985, and to 178ha in 1996. The other classes of soil use and occupation (reforestement areas, uncovered and affected by fire and humid areas) added were smaller than 4,27% in 1996.

Tolerância de perdas de solo na bacia do rio Itiquira, Mato Grosso, Brasil

The geographic area of the present study corresponds to the basin of the Itiquira river high course (Figure 1), in the portion that extends from the tributaries of its source, in the east of the plateau Correntes/Itiquira, in the neighbourhoods the city of Alto Garç as, to the scarp of the São Jerônimo mountain range, toward the west of Itiquira, in the state of Mato Grosso, totalizing 5,361 km 2. The area is placed in the eastern part of the Alto Paraguai basin, in the western portion of the Paraná Sedimentary Basin plateau. Through GIS techniques, it was possible to asses total soil losses from the Itiquira river basin, considering the years of 1966, 1985 and 1996, being based on the Universal Soil Loss Equation. Thus, in 1966 the basin lost 201,546.94 ton of soil, with an average loss of 0.37 ton/ha/year. Considering that the total area of the Itiquira river basin is of 536,100 ha, while in 1985 the soil losses had passed to 1,760,833.40 ton, with an increase of approximately 8.5 times. The average of soil losses in 1985 was of 3.28 ton/ha/year. In 1996 the basin lost 1,662,043.24 ton, with a reduction of only 9.4% in relation to 1985 but, in relation the 1966, the increase continued in the order of 8 times. The average losses per hectare in this year was in the order of 3.10 ton/ha/year (Chart 1). The map of potential of the laminar erosion for 1966 (Figure 3), shows to the highest values in small areas, situated in the northeast of the area, in Alto Garças, with values between 10 the 20 ton/ha/year and some spots in sources of the Itiquira and Ariranha rivers, with values between 1 the 5 ton/ha/year. In a general way, however, the area presents low soil loss for laminar erosion in this year, with inferior values to 1 ton/ha/year. The higher class of erosion, over 10 ton/ha/year, occupied 2,947 ha in 1966. In the year of 1985 (Figure 4), the erosive process spread over the entire studied area, and the class of erosion over of 10 ton/ha/year, already started to occupy 78,437 ha, implying an increase of approximately 27 times in 19 years. A strong increment in the erosive process was noticed in the western part of the area, to along the BR-163 road, exactly where great areas of natural vegetation (open pasture) had been transformed in culture and pasture areas. In the north-eastern part of the area it was also noticed an increment in the erosive process in agreement with the increase of culture areas and reduction of the natural areas, but it was not of so intense form as in the western portion of the area. In the year of 1996 (Figure 5), the class of erosion over of 10 ton/ha/year had diminished for a total of 53.499 ha noticing a retraction of the erosive process in the western part of the area, alongside the BR-163 road. On the other hand, it occurred a strong increment in the northern part of the area, in the neighbourhoods of the city of Alto Garças, alongside the BR-364 road and part of the MT-040 road. In a general way, in the outskirts of the city of Itiquira, in the central part of the area, it was verified an increase of the amount of zones with erosion between 0-1 ton/ha/year, passing to the immediately superior class, of 1-3 ton/ha/year; scarce data of hydrosedimentology in the UHE Itiquira (1999), shows good agreement with the values gotten for the EUPS (Chart 2). Based on the hydric classification proposal for FAO (1967) (Chart 3), it is noticed that areas with high degree of erosion (> 50) in the analysed area are very restricted, occupying 493 ha in 1985 and 332 ha in 1996 (Chart 4). In 1996 appeared as isolated spots in the north of Itiquira and Alto Garças, however beyond limits of the Itiquira river basin. These areas require special cares in its use as agricultural areas. Aiming at identifying and indicating the areas of potential risk of erosion and that need implementation of conservation practices, it was elaborated the map of limit of tolerance to the soil losses. In 1966 (Figure 6), areas with soil losses over of the tolerable were restricted to small spots located in the eastern part of the area, occupying 0.43% of the total of the area; already in 1985 (Figure 7), this percentage passed to 5.86%, spreading for all the area; in 1996 (Figure 8) it is observed a fast reduction of the areas with soil losses over of the tolerance limit, passing 5.43% of the total of the area. All the areas with losses over of the tolerable value must be considered as risk areas and were done in these areas studies for implementation of conservation practices.

Qualidade da água para irrigação na microbacia do Coqueiro, Estado de São Paulo

The aim of this study was to evaluate the physico chemical characteristics of water quality for irrigation purposes in the micro basin of Coqueiro, a tributary on the right bank of the São José dos Dourados river, located between the municipalities of Jales, São Francisco, Palmeira d'Oeste and Dirce Reis, in the state of São Paulo, Brazil. Water samples were collected at five geo-referenced points along the stocam and analysed monthly for one year. The parameters analysed were: suspended and dissolved solids, turbidity, electrical conductivity, pH, calcium, magnesium, hardness and total iron. The result showed that the physico chemical parameters had the classification of medium potential for damage to the irrigation system, except total iron, which was classified as having medium to high potential for damage by clogging for localized irrigation systems.

Cartografia geomorfológica como subsídio para a análise das interferências do uso da terra no desencadeamento dos processos erosivos: Um estudo em área canavieira

This study aimed at analyzing the geomorphologic dynamics and its relationship to human interference and ownership of relief, towards a systemic approach, through the interpretation, in an integrated manner, of cartographic documents made from techniques of geomorphologic cartography and of land use. By stereoscopic pairs of aerial photographs, it was prepared the Geomorphological Map and the Land Use Map, respectively based on Tricart's (1965) and Ceron and Diniz's (1966) technical procedures. The unit of the research analysis refers to the basin of Tijuco Preto Streamlet (SP) which is located at the Geomorphological Province of São Paulo state Peripheral Depression between latitudes 22°42'17 and 22°51'36 S, and longitudes 47°30'30 and 47°37'03. In general, it was possible to notice that this basin has been experiencing linear erosion processes, where it was mapped many erosion furrows, grooving and creeping, besides several slope breaks. These processes are associated with a conjunction of circumstances, and the anthropic one is mostly represented by sugarcane monoculture and by urbanization, which are crucial agents in activating erosion processes and in direct interfering on the dynamics of river and rain flow at the basin of Tijuco Preto Streamlet.

Avaliação de cargas difusas e simulação de autodepuração no Córrego da Água Branca, Itirapina (SP)

According to CONAMA Resolution No. 357, the Água Branca Creek is framed in Class 2 and along its course the characteristics should be consistent with this class. Evaluation of diffuse loads and simulation of auto-purification in the Água Branca Creek allowed evaluating the alterations in the quality of the freshwater. The major contribution of diffuse loads in the basin of the White Water Creek is related to agriculture. The QUAL2K modeling identified the autopurification zones at Água Branca Creek and indicated the necessity BDO removal of 75%.

One-dimensional Fermi accelerator model with moving wall described by a nonlinear van der Pol oscillator

A modification of the one-dimensional Fermi accelerator model is considered in this work. The dynamics of a classical particle of mass m, confined to bounce elastically between two rigid walls where one is described by a nonlinear van der Pol type oscillator while the other one is fixed, working as a reinjection mechanism of the particle for a next collision, is carefully made by the use of a two-dimensional nonlinear mapping. Two cases are considered: (i) the situation where the particle has mass negligible as compared to the mass of the moving wall and does not affect the motion of it; and (ii) the case where collisions of the particle do affect the movement of the moving wall. For case (i) the phase space is of mixed type leading us to observe a scaling of the average velocity as a function of the parameter (χ) controlling the nonlinearity of the moving wall. For large χ, a diffusion on the velocity is observed leading to the conclusion that Fermi acceleration is taking place. On the other hand, for case (ii), the motion of the moving wall is affected by collisions with the particle. However, due to the properties of the van der Pol oscillator, the moving wall relaxes again to a limit cycle. Such kind of motion absorbs part of the energy of the particle leading to a suppression of the unlimited energy gain as observed in case (i). The phase space shows a set of attractors of different periods whose basin of attraction has a complicated organization. © 2013 American Physical Society.

Dynamical properties for a mixed Fermi accelerator model

The behavior of the decay of velocity in a semi-dissipative one-dimensional Fermi accelerator model is considered. Two different kinds of dissipative forces were considered: (i) F-v and; (ii) F-v2. We prove the decay of velocity is linear for (i) and exponential for (ii). During the decay, the particles move along specific corridors which are constructed by the borders of the stable manifolds of saddle points. These corridors organize themselves in a very complicated way in the phase space leading the basin of attraction of the sinks to be seemingly of fractal type. © 2013 Elsevier B.V. All rights reserved.

Atlas ambiental como subsídio aos estudos de sustentabilidade - a bacia do Araçuaí no Vale do Jequitinhonha - MG

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Efeito da biomassa de espécie exótica (Brachiaria subquadripara (Trin.) Hitchc.) e nativa (Eichhornia azurea (SW. Kunth) sobre a estrutura da comunidade de macrófitas aquáticas

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)