Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative

Our purpose is to use a Darboux homogenous derivative to understand the harmonic maps with values in homogeneous space. We present a characterization of these harmonic maps from the geometry of homogeneous space. Furthermore, our work covers all type of invariant geometry in homogeneous space

Bounds for Invariance Pressure

This paper provides an upper for the invariance pressure of control sets with nonempty interior and a lower bound for sets with finite volume. In the special case of the control set of a hyperbolic linear control system in R^{d} this yields an explicit formula. Further applications to linear control systems on Lie groups and to inner control sets are discussed.Comment: 16 page

Chain recurrence and Selgrade`s theorem for affine flows

Affine flows on vector bundles with chain transitive base flow are lifted to linear flows and the decomposition into exponentially separated subbundles provided by Selgrade's theorem is determined. The results are illustrated by an application to affine control systems with bounded control range.Comment: 34 pages, 1 figur

Chain recurrence and Selgrade's theorem for affine flows

Affine flows on vector bundles with chain transitive base flow are lifted to linear flows and the decomposition into exponentially separated subbundles provided by Selgrade’s theorem is determined. The results are illustrated by an application to affine control systems with bounded control range

Control sets for affine systems, spectral properties, and projective spaces

For affine control systems with bounded control range the control sets, i.e., the maximal subsets of complete approximate controllability, are studied using spectral properties. For hyperbolic systems there is a unique control set with nonvoid interior and it is bounded. For nonhyperbolic systems, these control sets are unbounded. In an appropriate compactification of the state space there is a unique chain control set and the relations to the homogenous part of the control system are worked out.Comment: corrected version 27 page

Neuropsychological profile of amyloid-positive versus amyloid-negative amnestic Mild Cognitive Impairment

Patients diagnosed with amnestic mild cognitive impairment (aMCI) are at high risk of progressing to dementia. It became possible, through the use of biomarkers, to diagnose those patients with aMCI who have Alzheimer's disease. However, it is presently unfeasible that all patients undergo biomarker testing. Since neuropsychological testing is required to make a formal diagnosis of aMCI, it would be interesting if it could be used to predict the amyloid status of patients with aMCI.Fundação para a Ciência e Tecnologia - FCTinfo:eu-repo/semantics/publishedVersio

Berengeria rafaeli, n. gen., n. sp. of Reduviinae from Reserva Ducke, Amazonas State, Brazil (Hemiptera-Heteroptera, Reduviidae)

A new genus and species of Reduviinae (Hemiptera-Heteroptera, Reduviidae) from the Amazonas State, Brazil are described. A taxonomic key for American genera of Reduviinae is given.Um novo gênero e espécie de Reduviinae (Hemiptera-Heteroptera, Reduviidae) do Estado do Amazonas, Brasil, são descritos. Uma chave taxonômica para os gêneros Americanos de Reduviinae é fornecida