Nonlinear Dynamics and Evolution Equations ( Fields Institute Communications )

Publication series ：Fields Institute Communications

Author： Hermann Brunner;Xiao-Qiang Zhao;Xingfu Zou  

Publisher： American Mathematical Society‎

Publication year： 2006

E-ISBN: 9781470430825

P-ISBN(Hardback):  9780821837214

Subject： O1 Mathematics

Keyword： 暂无分类

Language： ENG

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Nonlinear Dynamics and Evolution Equations

Description

The papers in this volume reflect a broad spectrum of current research activities on the theory and applications of nonlinear dynamics and evolution equations. They are based on lectures given during the International Conference on Nonlinear Dynamics and Evolution Equations at Memorial University of Newfoundland, St. John's, NL, Canada, July 6–10, 2004. This volume contains thirteen invited and refereed papers. Nine of these are survey papers, introducing the reader to, and describing the current state of the art in major areas of dynamical systems, ordinary, functional and partial differential equations, and applications of such equations in the mathematical modelling of various biological and physical phenomena. These papers are complemented by four research papers that examine particular problems in the theory and applications of dynamical systems.

Chapter

Cover

Title page

Contents

Preface

Disease spread in metapopulations

On some nonlocal evolution equations arising in materials science

Invariant tori for Hamiltonian PDE

Stable and not too unstable solutions on 𝑅ⁿ for small diffusion

Some recent results on diffusive predator-prey models in spatially heterogeneous environment

Delayed non-local diffusive systems in biological invasion and disease spread

Asymptotic behavior for systems comparable to quasimonotone systems

𝐶¹-smoothness of center manifolds for differential equations with state-dependent delay

Normal forms for germs of analytic families of planar vector fields unfolding a generic saddle-node or resonant saddle

Generic properties of symplectic diffeomorphisms

Mathematical aspects of modelling tumour angiogenesis

Interpretation of the generalized asymmetric May-Leonard model of three species competition as a food web in a chemostat

On exact Poisson structures

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