Mestrado em Matemática
URI Permanente para esta coleção
Nível: Mestrado Acadêmico
Ano de início: 2006
Conceito atual na CAPES: 3
Ato normativo: Homologado pelo CNE ( Port. MEC 609, de 14/03/2019, DOU 18/03/2019)
Periodicidade de seleção: Anual
Área(s) de concentração: Matemática
Url do curso: https://matematica.ufes.br/pt-br/pos-graduacao/PPGMAT/detalhes-do-curso?id=1401
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Navegando Mestrado em Matemática por Autor "Bonotto, Everaldo de Mello"
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- ItemMovimentos recorrentes e quase periódicos em sistemas semidinâmicos impulsivos(Universidade Federal do Espírito Santo, 2017-05-29) Coswosck, Vinicius Bassi; Demuner, Daniela Paula; Bonotto, Everaldo de Mello; Valentim, Fábio Júlio da SilvaIn this work, we study the theory of impulsive semidynamic systems theory. These systems describe the evolution processes subject to quickly variations of state, and can be considered instantaneous. In the first part of this work is introduced the theory of semidynamic systems. These are not subject to variations of state because they are continuous. In the second part are presented the impulsive semi-dynamic systems, a generalization of the theory of impulsive semi-dynamic systems. To study the almost periodic recurrent movements of the impulsive semi-dynamic systems, in the third and fourth part, concepts of minimal sets, asymptotic points and Zhukoviskij stability are studied.
- ItemSemifluxos generalizados impulsivos(Universidade Federal do Espírito Santo, 2024-08-26) Modesto, Karine Ramos; https://orcid.org/0009-0005-9448-3748; http://lattes.cnpq.br/4359368936721064; Souto, Ginnara Mexia; https://orcid.org/0000-0001-8675-6199; http://lattes.cnpq.br/2095148182435653; Demuner, Daniela Paula; https://orcid.org/0009-0009-8807-3784; http://lattes.cnpq.br/6010222845541176; Bonotto, Everaldo de Mello; http://lattes.cnpq.br/2183693074268993This dissertation is an explanatory and self-contained text focused on the study of impulsive semidynamic systems when there is no guarantee of uniqueness of solutions, where we present the definition of impulsive generalized semiflow. The dissertation focuses on the study of global attractors and is mainly based on the article [6], where the Condition (T) is presented that guarantees the invariance of the global attractor and the continuity of the impact time function. Results from the article [7] are also included. Sufficient conditions are compared to guarantee the invariance of the global attractor, and examples that motivate the study of this topic are discussed.
- ItemSistemas semidinâmicos impulsivos(Universidade Federal do Espírito Santo, 2013-07-23) Nolasco, Victor Hugo; Demuner, Daniela Paula; Bonotto, Everaldo de Mello; Castro, Fábio Corrêa deThis work is an introduction the theory of impulsive semidynamical systems. Impulsive systems are a natural generalization of the classical theory of continuous semidynamical systems. First chapter presents the theory of continuous semidynamical systems. The second chapter is devoted to impulsive semidynamical systems theory. In this chapter, we study some properties of the impulsive systems. Interested in studying the asymptotic behavior of a impulsive semidynamical systems, in the third and fourth chapters of this work concepts like invariance, dissipativity and global attractor are presented. The study of these concepts for impulsive systems provides us with assurances that a particular process approaches of a standard in the future. Moreover, the center of Levinson is defined for compact dissipative impulsive semidynamical systems and some of it’s topological properties, for example, compactness and connectedness are studied.