scholarly journals Pattern formation from projectively dynamical systems and iterations by families of maps

2019 ◽  
Author(s):  
Tsuyoshi Kato
Keyword(s):  
Dynamical Systems ◽  
Pattern Formation

scholarly journals Pattern formation in the geosciences

2013 ◽  
Vol 371 (2004) ◽  
pp. 20120352 ◽  
Author(s):  
Lucas Goehring
Keyword(s):  
Earth Sciences ◽  
Dynamical Systems ◽  
Pattern Formation ◽  
Chemical Species ◽  
Natural Property ◽  
Theme Issue ◽  
Open Problems ◽  
Length Scales ◽  
Mineral Crystal ◽  
The Earth

Pattern formation is a natural property of nonlinear and non-equilibrium dynamical systems. Geophysical examples of such systems span practically all observable length scales, from rhythmic banding of chemical species within a single mineral crystal, to the morphology of cusps and spits along hundreds of kilometres of coastlines. This article briefly introduces the general principles of pattern formation and argues how they can be applied to open problems in the Earth sciences. Particular examples are then discussed, which summarize the contents of the rest of this Theme Issue.

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