From Normal to Anomalous Deterministic Diffusion

2007 ◽  
pp. 145-170 ◽  
Author(s):  
Roberto Artuso
Keyword(s):  
Deterministic Diffusion

scholarly journals Relating chaos to deterministic diffusion of a molecule adsorbed on a surface

2009 ◽  
Vol 21 (26) ◽  
pp. 264002 ◽  
Author(s):  
Astrid S de Wijn ◽  
A Fasolino
Keyword(s):  
Deterministic Diffusion

scholarly journals Persistence effects in deterministic diffusion

2009 ◽  
Vol 80 (4) ◽  
Author(s):  
Thomas Gilbert ◽  
David P. Sanders
Keyword(s):  
Deterministic Diffusion

Recycling deterministic diffusion

1994 ◽  
Vol 76 (1-3) ◽  
pp. 1-7 ◽  
Author(s):  
Roberto Artuso
Keyword(s):  
Deterministic Diffusion

Dynamical crossover in deterministic diffusion

1997 ◽  
Vol 55 (2) ◽  
pp. R1247-R1250 ◽  
Author(s):  
R. Klages ◽  
J. R. Dorfman
Keyword(s):  
Dynamical Crossover ◽  
Deterministic Diffusion

Deterministic diffusion of a laser variable

1992 ◽  
Vol 87 (5-6) ◽  
pp. 254-258 ◽  
Author(s):  
M.Y. Li ◽  
C.O. Weiss ◽  
N.R. Heckenberg
Keyword(s):  
Deterministic Diffusion

EXPERIMENTAL EVIDENCE OF DIFFUSIVE DYNAMICS AND “RANDOM WALKING” IN A SIMPLE DETERMINISTIC MECHANICAL SYSTEM: THE SHAKEN PENDULUM

1992 ◽  
Vol 02 (04) ◽  
pp. 983-988 ◽  
Author(s):  
PHILIP V. BAYLY ◽  
LAWRANCE N. VIRGIN
Keyword(s):  
Time Series ◽  
Brownian Motion ◽  
Power Spectrum ◽  
Chaotic Dynamics ◽  
Angular Displacement ◽  
Translational Symmetry ◽  
Random Walking ◽  
Diffusive Dynamics ◽  
Nonlinear Maps ◽  
Deterministic Diffusion

An experimental model of a simple pendulum, harmonically shaken, displays chaotic dynamics. Moreover, in strongly excited chaotic regimes the time series of total angular displacement, which is rarely examined, wanders unboundedly, displaying a power spectrum which falls off as 1/fα over several decades. This behavior corresponds to deterministic diffusion, which has been found in simulations of nonlinear maps with periodic translational symmetry. The displacement time series obtained by sampling the pendulum displacement once per cycle is self-affine and quantitatively similar to Brownian motion.

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