Disturbance propagation in coupled map lattices

Author(s):  
Alessandro Torcini
2016 ◽  
Vol 11 (1) ◽  
pp. 119-126 ◽  
Author(s):  
A.A. Aganin ◽  
N.A. Khismatullina

Numerical investigation of efficiency of UNO- and TVD-modifications of the Godunov method of the second order accuracy for computation of linear waves in an elastic body in comparison with the classical Godunov method is carried out. To this end, one-dimensional cylindrical Riemann problems are considered. It is shown that the both modifications are considerably more accurate in describing radially converging as well as diverging longitudinal and shear waves and contact discontinuities both in one- and two-dimensional problem statements. At that the UNO-modification is more preferable than the TVD-modification because exact implementation of the TVD property in the TVD-modification is reached at the expense of “cutting” solution extrema.


2008 ◽  
Vol 63 (2) ◽  
pp. 239-243 ◽  
Author(s):  
A. Pitti ◽  
M. Lungarella ◽  
Y. Kuniyoshi

2016 ◽  
Vol 94 (24) ◽  
Author(s):  
G. Francica ◽  
T. J. G. Apollaro ◽  
N. Lo Gullo ◽  
F. Plastina

2006 ◽  
Vol 96 (3) ◽  
Author(s):  
Shawn D. Pethel ◽  
Ned J. Corron ◽  
Erik Bollt

2008 ◽  
Vol 18 (01) ◽  
pp. 219-225 ◽  
Author(s):  
DANIEL TURZÍK ◽  
MIROSLAVA DUBCOVÁ

We determine the essential spectrum of certain types of linear operators which arise in the study of the stability of steady state or traveling wave solutions in coupled map lattices. The basic tool is the Gelfand transformation which enables us to determine the essential spectrum completely.


1995 ◽  
Vol 52 (2) ◽  
pp. 2119-2119
Author(s):  
Jérôme Losson ◽  
Michael C. Mackey
Keyword(s):  

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