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Titlebook: Infinite Dimensional Dynamical Systems; John Mallet-Paret,Jianhong Wu,Huaiping Zhu Book 2013 Springer Science+Business Media New York 2013

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发表于 2025-3-21 19:35:23 | 显示全部楼层 |阅读模式
书目名称Infinite Dimensional Dynamical Systems
编辑John Mallet-Paret,Jianhong Wu,Huaiping Zhu
视频video
概述Includes the last paper co-authored by legendary dynamist Jack Hale, and honors legendary scientist George Sell, who has contributed to the subject for several decades.Discusses cutting-edge developme
丛书名称Fields Institute Communications
图书封面Titlebook: Infinite Dimensional Dynamical Systems;  John Mallet-Paret,Jianhong Wu,Huaiping Zhu Book 2013 Springer Science+Business Media New York 2013
描述​This collection covers a wide range of topics of infinitedimensional dynamical systems generated by parabolic partial differentialequations, hyperbolic partial differential equations, solitary equations,lattice differential equations, delay differential equations, and stochasticdifferential equations.Infinite dimensional dynamical systems are generated byevolutionary equations describing the evolutions in time of systems whosestatus must be depicted in infinite dimensional phase spaces. Studying thelong-term behaviors of such systems is important in our understanding of theirspatiotemporal pattern formation and global continuation, and has been amongmajor sources of motivation and applications of new developments of nonlinearanalysis and other mathematical theories. Theories of the infinite dimensionaldynamical systems have also found more and more important applications inphysical, chemical, and life sciences.This book collects 19 papers from 48 invited lecturers tothe International Conference on Infinite Dimensional Dynamical Systems held atYork University, Toronto, in September of 2008. As the conference was dedicatedto Professor George Sell from University of Minnesota on the
出版日期Book 2013
关键词hyperbolic partial differential equations; infinite dimensional dynamical systems; non-autonomous dyna
版次1
doihttps://doi.org/10.1007/978-1-4614-4523-4
isbn_softcover978-1-4899-9993-1
isbn_ebook978-1-4614-4523-4Series ISSN 1069-5265 Series E-ISSN 2194-1564
issn_series 1069-5265
copyrightSpringer Science+Business Media New York 2013
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Global Hopf Bifurcation Analysis of a Neuron Network Model with Time Delays,rmal form method and center manifold theorem. To show that periodic solutions exist away from the bifurcation points, we establish that local Hopf branches globally extend for arbitrarily large delays.
发表于 2025-3-22 07:13:21 | 显示全部楼层
Instability of Low Density Supersonic Waves of a Viscous Isentropic Gas Flow Through a Nozzle, unstable; more precisely, we will establish the existence of positive eigenvalues for the linearization along such waves. The result is achieved via a center manifold reduction of the eigenvalue problem. The reduced eigenvalue problem is then studied in the framework of the Sturm–Liouville Theory.
发表于 2025-3-22 09:33:28 | 显示全部楼层
Semiflows for Neutral Equations with State-Dependent Delays, .-functions. The hypotheses are satisfied for a prototype equation of the form . with−.<.(.(.))<0, which for certain . and . models the interaction between following a trend and negative feedback with respect to some equilibrium state.
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Global Attractor of a Coupled Two-Cell Brusselator Model,actness of this type of four-variable reaction-diffusion systems with cubic autocatalytic nonlinearity and with linear coupling. It is also proved that the Hausdorff dimension and the fractal dimension of the global attractor are finite.
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Projectors on the Generalized Eigenspaces for Partial Differential Equations with Time Delay,rmulas for the projectors on the generalized eigenspaces associated to some eigenvalues. As examples, we apply the obtained results to study a reaction-diffusion equation with delay and an age-structured model with delay.
发表于 2025-3-22 22:23:13 | 显示全部楼层
1069-5265 subject for several decades.Discusses cutting-edge developme​This collection covers a wide range of topics of infinitedimensional dynamical systems generated by parabolic partial differentialequations, hyperbolic partial differential equations, solitary equations,lattice differential equations, dela
发表于 2025-3-23 05:19:29 | 显示全部楼层
Persistence of Periodic Orbits for Perturbed Dissipative Dynamical Systems,tion (with a period near the period of the periodic solution of the unperturbed problem). We review some methods of proofs, used in the case of systems of ordinary differential equations, and discuss their extensions to the infinite-dimensional case.
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Spectral Theory for Forward Nonautonomous Parabolic Equations and Applications,s a nonempty compact interval. Fundamental properties of the principal spectrum for forward nonautonomous equations are investigated. The paper concludes with applications of the principal spectrum theory to the problem of uniform persistence in some population growth models.
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