scholarly journals Dynamical transition theory of hexagonal pattern formations

Author(s):  
Taylan Şengül
2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Guichen Lu

We present a theoretical analysis of the attractor bifurcation for gene propagation model governed by reaction-diffusion equations. We investigate the dynamical transition problems of the model under the homogeneous boundary conditions. By using the dynamical transition theory, we give a complete characterization of the bifurcated objects in terms of the biological parameters of the problem.


1997 ◽  
Vol 92 (5) ◽  
pp. 847-854 ◽  
Author(s):  
LIDIA SMENTEK ◽  
B.ANDES HESS

2017 ◽  
Vol 7 (2) ◽  
pp. 207-230 ◽  
Author(s):  
Mustafa Murat Yucesahin ◽  
Ibrahim Sirkeci

Syrian crisis resulted in at least 6.1 million externally displaced people 983,876 of whom are in Europe while the rest are in neighbouring countries in the region. Turkey, due to its geographical proximity and substantial land borders with the country, has been the most popular destination for those fleeing Syria since April 2011. Especially after 2012, a sharp increase in the number of Syrian refugees arriving in Turkey was witnessed. This has triggered an exponential growth in academic and public interest in Syrian population. Numerous reports mostly based on non-representative sample surveys have been disseminated whilst authoritative robust analyses remained absent. This study aims to fill this gap by offering a comprehensive demographic analysis of the Syrian population. We focus on the demographic differences (from 1950s to 2015) and demographic trends (from 2015 to 2100) in medium to long term, based on data from World Population Prospects (WPP). We offer a comparative picture to underline potential changes and convergences between populations in Syria, Turkey, Germany, and the United Kingdom. We frame our discussion here with reference to the demographic transition theory to help understanding the implications for movers and non-movers in receiving countries in the near future.


2021 ◽  
Vol 69 (3) ◽  
pp. 702-724
Author(s):  
Jean-Pierre Poulain

Among the different theories used to explain social change, the transition theory holds a special place. It has been applied to subjects such as demography, epidemiology, nutrition, etc. and most often from a multidisciplinary perspective. However, beyond the apparent uniqueness of the transition label there are quite different theoretical frameworks and presuppositions, which can be a source of misunderstanding. A first perspective considers change as the transition from one stable state to another and concentrates on the processes at work in the transition phase. It focuses attention on the interactions between cultural and biological variables and tries to take into account the consequences of the fact that they move at different rates. A second perspective conceives change as a series of stages (more or less stable situations) and proceeds to analyse the structural transformation of the organisation at each stage. The emphasis is placed on the transformations that take place during these stages. This brings us closer to the theory of stages. Finally, a third perspective combines stages and transitions. Change is seen as part of an evolutionary and progressive movement and as being reversible or not. This article studies the cognitive organisation of the different theoretical variants of the transition model in which food plays a more or less important role.


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