Unidirectionally coupled map lattice as a model for open flow systems

1996 ◽  
Vol 54 (5) ◽  
pp. 5107-5115 ◽  
Author(s):  
Oliver Rudzick ◽  
Arkady Pikovsky
1997 ◽  
Vol 07 (07) ◽  
pp. 1529-1538 ◽  
Author(s):  
Akihiro Yamaguchi

The phenomenon of spatial bifurcations in the open flow system (OFS), which is a unidirectionally coupled map lattice, is investigated. The bifurcation conditions are obtained by analyzing the effect of deterministic discretization of the system's state when the OFS is simulated by the computer. The analytical results are examined by application to the OFS with logistic maps.


1995 ◽  
Vol 86 (3) ◽  
pp. 428-455 ◽  
Author(s):  
Frederick H. Willeboordse ◽  
Kunihiko Kaneko

1983 ◽  
Vol 9 (3) ◽  
pp. 189-199 ◽  
Author(s):  
L. A. Thompson ◽  
D. B. Nedwell ◽  
M. T. Balba ◽  
I. M. Banat ◽  
E. Senior

2005 ◽  
Vol 74 (5) ◽  
pp. 1629-1635 ◽  
Author(s):  
Yukio Saito ◽  
Hiroyuki Hyuga
Keyword(s):  

1995 ◽  
Vol 268 (6) ◽  
pp. S40
Author(s):  
J Tienari

This work suggests that the amount of information included in biochemistry texts is artificially increased, because the knowledge presented contains tautologies that are obscured by the use of inappropriate methods of representation. The work then proposes alternative methods of representation for describing biochemical systems that are based on the dynamics of an idealized chemical open-flow system. They would clarify the fact, in an open system, the concentrations of the reactants and reaction products depend not only on the equilibrium constants but on the absolute velocities of the reactions as well. Similar rules apply to phenomena involving other processes, such as diffusion of ions. Biochemical systems are considered as a set of chemical flow systems in which individual processes have the potential for interactions if their end products influence the rate of other processes. These interactions are used to explain how biochemical systems maintain themselves in states of high order. By use of these formulations, some of the logical sequences by which biochemical principles can be deduced from the principles of chemistry can be given simple and illustrative expression.


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