Dissipation in the Fermi-Ulam Model
Nenhuma Miniatura disponível
Data
2021-01-01
Autores
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Tipo
Capítulo de livro
Direito de acesso
Resumo
We discuss in this chapter some dynamical properties for the Fermi-Ulam model under different dissipative forces. The first type considered is through inelastic collisions that is when the particle has a fractional loss of energy upon collision. We will show that depending on the control parameters, stable and unstable manifolds obtained from the same saddle fixed point cross each other producing a crisis event. Such a crisis destroys the chaotic attractor which is replaced by a chaotic transient. Another type of dissipative force is when the particle crosses a viscous media hence losing energy along its trajectory. Three different types of drag forces will be considered: (i) proportional to the velocity of the particle; (2) proportional to square of the velocity and; (3) proportional to a power of the velocity different from the linear and from the quadratic.
Descrição
Palavras-chave
Idioma
Inglês
Como citar
Nonlinear Physical Science, p. 93-114.