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Systems of Transversal Sections Near Critical Energy Levels of Hamiltonian Systems in $\mathbb {R}^4$
In this article the authors study Hamiltonian flows associated to smooth functions R R restricted to energy levels close to critical levels. They assume the existence of a saddle-center equilibrium point in the zero energy level . The Hamiltonian function near is assumed to satisfy Moser's normal form and is assumed to lie in a strictly convex singular subset of . Then for all small, the energy level contains a subset near , diffeomorphic to the closed -ball, which admits a system of transversal sections , called a foliation. is a singular foliation of and contains two periodic orbits and as binding orbits. is the Lyapunoff orbit lying in the center manifold of , has Conley-Zehnder index and spans two rigid planes in . has Conley-Zehnder index and spans a one parameter family of planes in . A rigid cylinder connecting to completes . All regular leaves are transverse to the Hamiltonian vector field. The existence of a homoclinic orbit to in follows from this foliation.
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Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
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Opera Omnia. Tomo III. Comentários aos provérbios de Salomão
Publicado pela 1ª vez em 1592, apesar do carácter póstumo desta primeira edição, o livro já se encontrava pronto à data da morte do Autor (Agosto de 1580). Ultrapassando as características de um texto pura e exclusivamente de exegese bíblica, subgénero doutrinal a que à primeira vista pertence, os Comentários aos Provérbios de Salomão desenvolvem, numa forma literária quase sempre primorosa, um feixe de temas que são transversais à quase totalidade da obra osoriana: educação e atuação do rei; sátira dos lisonjeiros; crítica feroz dos demagogos e da corrupção; insânia das turbas; verdadeira sabedoria.
Telehealth Ecosystems in Practice
Telemedicine is a term which covers all remotely-provided health services. It removes the obstacle of distance and can equalize access to care by means of technology. Telemedicine assumed increased importance during the time of pandemic restrictions, but despite increased interest, progress has been slowed by factors such as cost, lack of privacy legislation, the reluctance of elderly patients to use ICT, and a lack of qualified actors. It remains, however, one of the best solutions to the problems of different levels of healthcare provision and health outcomes across regions. This book presents the proceedings of STC2023, a Special Topic Conference (STC) organized by the European Federation...
