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Parameter space for a dissipative Fermi-Ulam model
Diego F. M. Oliveira, Edson D. Leonel, 2011, izvirni znanstveni članek

Opis: The parameter space for a dissipative bouncing ball model under the effect of inelastic collisions is studied. The system is described using a two-dimensional nonlinear area-contracting map. The introduction of dissipation destroys the mixed structure of phase space of the non-dissipative case, leading to the existence of a chaotic attractor and attracting fixed points, which may coexist for certain ranges of control parameters. We have computed the average velocity for the parameter space and made a connection with the parameter space based on the maximum Lyapunov exponent. For both cases, we found an infinite family of self-similar structures of shrimp shape, which correspond to the periodic attractors embedded in a large region that corresponds to the chaotic motion.
Ključne besede: parameter space, Fermi-Ulam model, inelastic collision
Objavljeno: 03.07.2017; Ogledov: 41; Prenosov: 2
.pdf Polno besedilo (2,84 MB)

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