Asymptotic analysis of some nonlinear problems using Hopf-Cole transform and spectral theory

1989 ◽  
Vol 99 (2) ◽  
pp. 181-190
Author(s):  
K. T. Joseph
Keyword(s):  
Asymptotic Analysis ◽  
Spectral Theory ◽  
Nonlinear Problems

scholarly journals On the Complex Interaction between Collective Learning and Social Dynamics

Symmetry ◽  
2019 ◽  
Vol 11 (8) ◽  
pp. 967 ◽  
Author(s):  
Diletta Burini ◽  
Silvana De Lillo
Keyword(s):  
Kinetic Theory ◽  
Asymptotic Analysis ◽  
Social Dynamics ◽  
Nonlinear Problems ◽  
Collective Learning ◽  
Complex Interaction ◽  
General Description ◽  
Cognitive Sciences ◽  
Learning Dynamics ◽  
Asymmetric Learning

This paper is motivated by the perspective ideas proposed in our previous studies, where some challenging problems, for instance qualitative analysis of the solution to nonlinear problems and micro-macro asymptotic analysis, where posed. Our work focuses on the study of the interactions between learning dynamics and other types of dynamics which can be modeled by kinetic theory methods. The contents are presented in three parts. First, a general description of different theories of learning dynamics within the framework of cognitive sciences is critically analyzed with the aim of capturing the main features of the system towards modeling. Subsequently, the class of systems which are the object of the modeling approach is defined by showing how the previous structure can be developed, thanks to new conceptual ideas, including the concept of symmetric and asymmetric learning, towards modeling. Finally, some applications are selected to show how the approach can be methodologically applied.

To the spectral theory of partially ordered sets

2018 ◽  
Vol 60 (3) ◽  
pp. 578-598
Author(s):  
Yu. L. Ershov ◽  
M. V. Schwidefsky
Keyword(s):  
Spectral Theory ◽  
Partially Ordered Sets ◽  
Ordered Sets ◽  
Partially Ordered

SPECTRAL THEORY OF 2-D PHOTONIC CRYSTALS: ANALYTICAL GROUNDS

2016 ◽  
Vol 75 (16) ◽  
pp. 1417-1433 ◽  
Author(s):  
Yurii Konstantinovich Sirenko ◽  
K. Yu. Sirenko ◽  
H. O. Sliusarenko ◽  
N. P. Yashina
Keyword(s):  
Photonic Crystals ◽  
Spectral Theory
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