Hyperbolic chaos in self-oscillating systems based on mechanical triple linkage: Testing absence of tangencies of stable and unstable manifolds for phase trajectories

Dynamical equations are formulated and a numerical study is provided for self-oscillatory model systems based on the triple linkage hinge mechanism of Thurston -- Weeks -- Hunt -- MacKay. We consider systems with holonomic mechanical constraint of three rotators as well as systems, where three rotators interact by potential forces. We present and discuss some quantitative characteristics of the chaotic regimes (Lyapunov exponents, power spectrum). Chaotic dynamics of the models we consider are associated with hyperbolic attractors, at least, at relatively small supercriticality of the self-oscillating modes; that follows from numerical analysis of the distribution for angles of intersection of stable and unstable manifolds of phase trajectories on the attractors. In systems based on rotators with interacting potential the hyperbolicity is violated starting from a certain level of excitation.Comment: 30 pages, 18 figure

Produtividade de raízes de mandioca consorciada com milho e caupi em sistema orgânico.

Foram avaliados sistemas orgânicos de produção de mandioca “de mesa”, em Seropédica (RJ). O experimento constou dos seguintes tratamentos: monocultivo de mandioca (cv. IAC 576-70) e consórcios com milho experimental (cv. Eldorado), caupi (cv. Mauá) e milho+caupi. O manejo orgânico foi padronizado e toda a área experimental irrigada durante o período de permanência do milho no sistema. Do milho, foram colhidas espigas verdes (imaturas) e a parte aérea acamada na superfície do solo. O caupi foi incluído como adubo verde e cortado na floração, sendo mantidos os resíduos na superfície do solo. Ambos os consortes ocuparam as entrelinhas da mandioca, de modo alternado, semeados após a primeira capina da cultura principal. A cultivar IAC 576-70 mostrou-se adaptada ao manejo orgânico, com produtividade de raízes de padrão comercial próxima a 31 Mg ha-¹. Não houve diferenças significativas entre o monocultivo e os três tipos de consórcios testados. A inclusão do milho representou potencial de renda adicional ao produtor, colhendo-se,em média, 18.125 espigas ha-¹, o que correspondeu a 5,1 Mg ha-¹. Os resíduos provenientes da roçada do caupi proporcionaram um aporte de biomassa fresca de 12 Mg ha-¹, com uma expressiva contribuição em nitrogênio (cerca de 44 kg de N ha-1). A fabácea leguminosa cobriu por completo as entrelinhas da mandioca,demonstrando seu potencial de controle à erosão e a ervas espontâneas. O consórcio triplo mostrou-se vantajoso tendo em vista que a receita obtida com a venda do milho verde justificaria os custos da irrigação, além dos benefícios da inclusão do caupi e da não interferência dos consortes na produtividade da mandioca

Embryonic dormancy in seeds of Bactris gasipaes Kunth (peach-palm)

Bactris gasipaes is a domesticated palm whose fruits are of great importance for the Amazonian people and whose heart of palm is also receiving economic interest in other brazilian and Latin America regions. The aim of this study was verify embryonic dormancy and its correlation with first cataphyll emergence in B. gasipaes seeds collected from four plants at Manaus city and four others at Coari city, both in the Amazonas state, Brazil. After extraction and cleaning, some of the seeds (4 replications of 25 per plant) were sown in a seedbed with a sawdust and sand mixture as substrate, and embryos (4 replications of 10 per plant), after extraction, were inoculated into half strength Murashige and Skoog cultures. Were used 100 seeds and 40 embryo per treatment. Whole seed and embryo germination varied between the different source plants and locations, with the greatest difference observed for the emergence of first cataphyll from seeds in the seedbed. For the most part of variables, results of seed and embryo were positively associated, namely, as one went up the other also, and vice versa. These results suggesting that, at least in part, seed dormancy in Bactris gasipaes is associated with embryonic dormancy. © 2017, Associacao Brasileira de Tecnologia de Sementes. All rights reserved