Introduction to Global Analysis and Infinite Dimensional Manifolds

1992 ◽  
pp. 111-144
Keyword(s):  
Global Analysis ◽  
Infinite Dimensional

Global Analysis of Nonlinear Time-Delayed Dynamical Systems

2011 ◽  
Author(s):  
Jian-Qiao Sun ◽  
Bo Song ◽  
Jie Yang
Keyword(s):  
Steady State ◽  
Dynamical Systems ◽  
State Space ◽  
Global Analysis ◽  
Stable Steady State ◽  
Domains Of Attraction ◽  
Infinite Dimensional ◽  
Dimensional State Space ◽  
Steady State Responses ◽  
State Responses

Time-delayed dynamical systems are defined in an infinite dimensional state-space. When the system has multiple stable steady-state responses, the global analysis of the system such as finding the domains of attraction and boundary basin has to be done in the infinite dimensional state-space. This paper examines this issue and shows that there are rich opportunities for global analysis research of nonlinear time-delayed dynamical systems.

scholarly journals Superspace and global stability in general relativity

2017 ◽  
Vol 26 (05) ◽  
pp. 1741019 ◽  
Author(s):  
A. V. Gurzadyan ◽  
A. A. Kocharyan
Keyword(s):  
General Relativity ◽  
Stability Analysis ◽  
Riemannian Manifolds ◽  
Jacobi Equation ◽  
Global Analysis ◽  
Cosmological Models ◽  
Dynamical Analysis ◽  
Infinite Dimensional ◽  
The Stability ◽  
The Universe

A framework is developed enabling the global analysis of the stability of cosmological models using the local geometric characteristics of the infinite-dimensional superspace, i.e. using the generalized Jacobi equation reformulated for pseudo-Riemannian manifolds. We give a direct formalism for dynamical analysis in the superspace, the requisite equation pertinent for stability analysis of the universe by means of generalized covariant and Fermi derivative is derived. Then, the relevant definitions and formulae are retrieved for cosmological models with a scalar field.

Local and global analysis of plasticity in ferritic-austenitic duplex steels

2001 ◽  
Vol 11 (PR5) ◽  
pp. Pr5-293-Pr5-300 ◽  
Author(s):  
V. V. Silberschmidt ◽  
M. Ortmayr ◽  
C. Messner ◽  
E. A. Werner
Keyword(s):  
Global Analysis ◽  
Duplex Steels

Do remittances differ depending on migration pathway and length of stay?

2016 ◽  
Vol 1 (1) ◽  
pp. 105-118
Author(s):  
Anita Pugliese ◽  
Julie Ray ◽  
Neli Esipova
Keyword(s):  
Length Of Stay ◽  
First Generation ◽  
Second Generation ◽  
Global Analysis ◽  
Large Sample ◽  
Migration Pathway ◽  
First Generation Migrants ◽  
Second Generation Migrants

This paper reports the results from Gallup’s global analysis of the likelihood of first-generation migrants, second-generation migrants and the native-born to send financial help in the form of money or goods to others inside or outside their respective country of residence. The findings in this paper are based on more than 450,000 interviews conducted through Gallup’s World Poll in 157 countries in 2012, 2013 and 2014. The sample includes more than 26,000 first-generation migrants and more than 20,000 second-generation migrants. The large sample enables Gallup to analyze first-generation migrants by the duration of their stay in their adopted country and compare their remittance behaviors with second-generation migrants and the native-born.

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