Dynamical properties of a particle in a classical time-dependent potential well

2003 ◽  
Vol 323 ◽  
pp. 181-196 ◽  
Author(s):  
Edson D. Leonel ◽  
J.Kamphorst Leal da Silva
Keyword(s):  
Time Dependent ◽  
Potential Well ◽  
Dependent Potential ◽  
Dynamical Properties

scholarly journals Chaotic diffusion for particles moving in a time dependent potential well

2020 ◽  
Vol 384 (28) ◽  
pp. 126737
Author(s):  
Edson D. Leonel ◽  
Célia Mayumi Kuwana ◽  
Makoto Yoshida ◽  
Juliano Antonio de Oliveira
Keyword(s):  
Time Dependent ◽  
Potential Well ◽  
Chaotic Diffusion ◽  
Dependent Potential

scholarly journals Escape of particles in a time-dependent potential well

2011 ◽  
Vol 83 (6) ◽  
Author(s):  
Diogo Ricardo da Costa ◽  
Carl P. Dettmann ◽  
Edson D. Leonel
Keyword(s):  
Time Dependent ◽  
Potential Well ◽  
Dependent Potential

scholarly journals Scaling dynamics for a particle in a time-dependent potential well

2012 ◽  
Vol 391 (13) ◽  
pp. 3607-3615 ◽  
Author(s):  
Diogo Ricardo da Costa ◽  
Mário Roberto Silva ◽  
Juliano A. de Oliveira ◽  
Edson D. Leonel
Keyword(s):  
Time Dependent ◽  
Potential Well ◽  
Dependent Potential

scholarly journals SCALING INVARIANCE IN A TIME-DEPENDENT ELLIPTICAL BILLIARD

2012 ◽  
Vol 22 (09) ◽  
pp. 1250207 ◽  
Author(s):  
DIEGO F. M. OLIVEIRA ◽  
MARKO ROBNIK
Keyword(s):  
Integrable System ◽  
Average Velocity ◽  
Moving Boundary ◽  
Time Dependent ◽  
Scaling Invariance ◽  
Energy Growth ◽  
Dynamical Properties ◽  
Scaling Arguments

We study some dynamical properties of a classical time-dependent elliptical billiard. We consider periodically moving boundary and collisions between the particle and the boundary are assumed to be elastic. Our results confirm that although the static elliptical billiard is an integrable system, after introducing time-dependent perturbation on the boundary the unlimited energy growth is observed. The behavior of the average velocity is described using scaling arguments.

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