Pattern Formation and Dynamics of Two-Dimensional Structures in Non-Equilibrium Dissipative Media

1989 ◽  
pp. 65-89 ◽  
Author(s):  
A. V. Gaponov-Grekhov ◽  
A. S. Lomov ◽  
G. V. Osipov ◽  
M. I. Rabinovich
Keyword(s):  
Pattern Formation ◽  
Two Dimensional ◽  
Dissipative Media ◽  
Non Equilibrium

scholarly journals Continuous generation of soliton patterns in two-dimensional dissipative media by razor, dagger, and needle potentials

2010 ◽  
Vol 35 (12) ◽  
pp. 1974 ◽  
Author(s):  
Bin Liu ◽  
Ying-Ji He ◽  
Boris A. Malomed ◽  
Xiao-Sheng Wang ◽  
Panayotis G. Kevrekidis ◽  
...  
Keyword(s):  
Two Dimensional ◽  
Continuous Generation ◽  
Dissipative Media

scholarly journals Two-dimensional colloidal fluids exhibiting pattern formation

2015 ◽  
Vol 143 (24) ◽  
pp. 244904 ◽  
Author(s):  
Blesson Chacko ◽  
Christopher Chalmers ◽  
Andrew J. Archer
Keyword(s):  
Pattern Formation ◽  
Two Dimensional ◽  
Colloidal Fluids

Offender Mobility and Crime Pattern Formation from First Principles

2011 ◽  
pp. 193-208 ◽  
Author(s):  
P. Jeffrey Brantingham ◽  
George Tita
Keyword(s):  
Pattern Formation ◽  
First Principles ◽  
Two Dimensional ◽  
Agent Based ◽  
Crime Patterns ◽  
Movement Strategies ◽  
Criminal Opportunity ◽  
The Relationship ◽  
Basic Movement ◽  
Crime Pattern

Criminal opportunity in most cases is constrained by the fact that motivated offenders and potential targets or victims are not found at the same place at the same time. This ecological fact necessitates that offenders, potential victims, or both move into spatial positions that make crimes physically possible. This chapter develops a series of simple mathematical and agent-based models looking at the relationship between basic movement decisions and emergent crime patterns in two-dimensional environments. It is shown that there may be substantial regularities to crime patterns, including the tendency for crime to form discrete hotspots that arise solely from different movement strategies deployed by offenders.

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