Evidence of dispersion relations for the nonlinear response of the Lorenz 63 system

Along the lines of the nonlinear response theory developed by Ruelle, in a previous paper we have proved under rather general conditions that Kramers-Kronig dispersion relations and sum rules apply for a class of susceptibilities describing at any order of perturbation the response of Axiom A non equilibrium steady state systems to weak monochromatic forcings. We present here the first evidence of the validity of these integral relations for the linear and the second harmonic response for the perturbed Lorenz 63 system, by showing that numerical simulations agree up to high degree of accuracy with the theoretical predictions. Some new theoretical results, showing how to derive asymptotic behaviors and how to obtain recursively harmonic generation susceptibilities for general observables, are also presented. Our findings confirm the conceptual validity of the nonlinear response theory, suggest that the theory can be extended for more general non equilibrium steady state systems, and shed new light on the applicability of very general tools, based only upon the principle of causality, for diagnosing the behavior of perturbed chaotic systems and reconstructing their output signals, in situations where the fluctuation-dissipation relation is not of great help.

FGV: 63% dos rolezeiros do Rio têm curso superior

O rolezinho que, provocou o fechamento do shopping Leblon no último domingo e causou queda de 60% no movimento daquele comércio no feriadão, tinha como principal objetivo apoiar a “galera” do rolezinho de São Paulo”. Pesquisa da diretoria de Análise de Políticas Públicas (DAPP) da Fundação Getúlio Vargas sobre o perfil dos manifestantes do Rio, revelou que 54% dos “rolezeiros cariocas” tinham 25 anos ou mais, 63% possuem curso superior completo ou incompleto, a maioria mora na Zona Sul e, pelo menos, a metade frequenta shopppings.

Controle biológico da podridão radicular (Pythium aphanidermatum) e promoção de crescimento por Pseudomonas chlororaphis 63-28 e Bacillus subtilis GB03 em alface hidropônica

Podridões radiculares causadas por espécies de Pythium são um importante problema em cultivos hidropônicos. Sintomas de subdesenvolvimento são observados nas plantas parasitadas pelo patógeno, sendo muitas vezes não diagnosticados pelo produtor. O objetivo do trabalho foi avaliar o controle biológico da podridão radicular causada por Pythium aphanidermatum e a promoção de crescimento por Pseudomonas chlororaphis 63-28 e Bacillus subtilis GB03, reconhecidos agentes de controle biológico de doenças de plantas. A inoculação das plantas com P. aphanidermatum ocasionou o subdesenvolvimento, sendo essa diminuição de 20%. A adição dos agentes de biocontrole na solução nutritiva teve um efeito positivo no aumento da massa (6% a 13%), no número de folhas (4% a 7%) e no teor de clorofila (3%) das plantas de alface. Entretanto, maiores estudos devem ser realizados para melhorar a capacidade de controle da doença e de promoção de crescimento pelos agentes de biocontrole estudados no cultivo de alface hidropônica.

Desempenho produtivo de vacas de quatro grupos genéticos submetidas a diferentes manejos alimentares desmamadas aos 42 ou 63 dias pós-parto

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Desempenho de bezerros de corte filhos de vacas submetidas a diferentes manejos alimentares, desmamados aos 42 ou 63 dias de idade

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Urinary bladder washings in autopsies. A cytopathologic study of 63 cases

The sediment from urinary bladder washings from 63 consecutive autopsies was cytologically studied in order to achieve a better understanding of the changes in urothelial cells collected from hospital populations. The observed alterations were correlated with alterations in the urinary system and with therapy preceding death. The specimens obtained were of good quality. In 39.7% of the cases, the sediment contained giant superficial multinucleated cells. Three of nine cases previously subjected to radiation or chemotherapy showed atypical urothelial cells. In three cases with immunosuppression, there was cytologic evidence of subclinical infection by polyomavirus, and virus particles were identified by electron microscopy of the vesical mucosa. The study of the smear background offered additional information: the sediment contained hyaline or hematic or hyaline-cellular casts in 17.4% of the cases, in all of which there were renal tubulopathies when the kidney sections were studied. The method is useful for a good evaluation of the autopsy as well as for training in urinary cytopathology.