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Modeling attractiveness of global places [PDF]
, 2010 Being competitive in a globalized world have several meanings according to the topic taken into account. This paper focuses on the attractiveness of places, as we assume that being a popular place is an advantage for global competition. And our main question here is to catch the mental maps of the future elite, and to do it on a world scale.
Laurent Beauguitte, Claude Grasland
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On the global attractivity of systems of nonlinear difference equations
Applied Mathematics and Computation, 2003The global atractivity of the positive solutions of two systems of nonlinear difference equations, \(X_{n+1}=AX_n+F(X_{n-k})\), with \(A\) an \(m\times m\) matrix and \(F\in C[[0,\infty)^m,(0,\infty)^m]\), and \(X_{n+1}=G(X_n,\dots,X_{n-k})\), \(n=0,1,\dots,\) with \(G\in C[(0,\infty)^{m(k+1)},(0,\infty)^m]\) is studied.
H. El-Owaidy, H. Y. Mohamed
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Global Attractivity of Cohen-Grossberg Model with Delays
2005In this paper, we have studied the global attractivity of the equilibrium of Cohen-Grossgerg model with both finite and infinite delays. Criteria for global attractivity are also derived by means of Lyapunov functionals. As a corollary, we show that if the delayed system is dissipative and the coefficient matrix is VL-stable, then the global ...
Tao Xiang 0001 +2 more
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Global Attraction to Solitary Waves
2016We study properties of solitary wave solutions of the form \(\phi(x)e^{-i\omega t}\), with ω real and \(\phi(x)\)) localized in space. In the first section, we sketch two fundamental results on stability of solitary waves: Derrick’s theorem on instability of time-independent solutions and the Vakhitov–Kolokolov stability criterion for spectral ...
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Global attractivity of the difference equation
Applied Mathematics and Computation, 2006Haibo Chen, Haihua Wang
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Global Attractivity in Delayed Hopfield Neural Network Models
SIAM Journal on Applied Mathematics, 1998Xingfu Zou, P Van Den Driessche
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