Publicação: Invariant Algebraic Surfaces and Impasses
Carregando...
Data
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Tipo
Artigo
Direito de acesso
Resumo
Polynomial vector fields X: R3→ R3 that have invariant algebraic surfaces of the form M={f(x,y)z-g(x,y)=0}are considered. We prove that trajectories of X on M are solutions of a constrained differential system having I= { f(x, y) = 0 } as impasse curve. The main goal of the paper is to study the flow on M near points that are projected on typical impasse singularities. The Falkner–Skan equation (Llibre and Valls in Comput Fluids 86:71–76, 2013), the Lorenz system (Llibre and Zhang in J Math Phys 43:1622–1645, 2002) and the Chen system (Lu and Zhang in Int J Bifurc Chaos 17–8:2739–2748, 2007) are some of the well-known polynomial systems that fit our hypotheses.
Descrição
Palavras-chave
Differential-algebraic equations, Implicit ordinary differential equations, Invariant manifolds
Idioma
Inglês
Como citar
Qualitative Theory of Dynamical Systems, v. 20, n. 2, 2021.
