Capítulos de libros
Dissipation in the Fermi-Ulam Model
Fecha
2021-01-01Registro en:
Nonlinear Physical Science, p. 93-114.
1867-8459
1867-8440
10.1007/978-981-16-3544-1_7
2-s2.0-85114312280
Autor
Universidade Estadual Paulista (UNESP)
Institución
Resumen
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.