Two-dimensional dynamical model for step bunching and pattern formation induced by surface reconstruction

1998 ◽  
Vol 57 (7) ◽  
pp. 3939-3948 ◽  
Author(s):  
Hyeong-Chai Jeong ◽  
John D. Weeks
Keyword(s):  
Pattern Formation ◽  
Surface Reconstruction ◽  
Dynamical Model ◽  
Two Dimensional ◽  
Step Bunching

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.

Stability analysis for moving dissipative solitons in two-dimensional dynamical model

2020 ◽  
Vol 74 (4) ◽  
Author(s):  
Alain Djazet ◽  
Serge I. Fewo ◽  
Elvis B. Ngompé Nkouankam ◽  
Timoléon C. Kofané
Keyword(s):  
Stability Analysis ◽  
Dynamical Model ◽  
Two Dimensional ◽  
Dissipative Solitons
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