Description

Book Synopsis
Reflects a broad spectrum of research activities on the theory and applications of nonlinear dynamics and evolution equations. This book covers 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.

Table of Contents
Disease spread in metapopulations by J. Arino and P. van den Driessche On some nonlocal evolution equations arising in materials science by P. W. Bates Invariant tori for Hamiltonian PDE by W. Craig Stable and not too unstable solutions on $R^n$ for small diffusion by N. Dancer Some recent results on diffusive predator-prey models in spatially heterogeneous environment by Y. Du and J. Shi Delayed non-local diffusive systems in biological invasion and disease spread by S. A. Gourley and J. Wu Asymptotic behavior for systems comparable to quasimonotone systems by J. Jiang $C^1$-smoothness of center manifolds for differential equations with state-dependent delay by T. Krisztin Normal forms for germs of analytic families of planar vector fields unfolding a generic saddle-node or resonant saddle by C. Rousseau Generic properties of symplectic diffeomorphisms by R. Saghin and Z. Xia Mathematical aspects of modelling tumour angiogenesis by B. D. Sleeman Interpretation of the generalized asymmetric May-Leonard model of three species competition as a food web in a chemostat by G. S. K. Wolkowicz On exact Poisson structures by Y. Yi and X. Zhang.

Nonlinear Dynamics and Evolution Equations

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A Hardback by Hermann Brunner, Xiao-Qiang Zhao, Xingfu Zou

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    View other formats and editions of Nonlinear Dynamics and Evolution Equations by Hermann Brunner

    Publisher: MP-AMM American Mathematical
    Publication Date: 4/30/2006 12:00:00 AM
    ISBN13: 9780821837214, 978-0821837214
    ISBN10: 0821837214

    Description

    Book Synopsis
    Reflects a broad spectrum of research activities on the theory and applications of nonlinear dynamics and evolution equations. This book covers 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.

    Table of Contents
    Disease spread in metapopulations by J. Arino and P. van den Driessche On some nonlocal evolution equations arising in materials science by P. W. Bates Invariant tori for Hamiltonian PDE by W. Craig Stable and not too unstable solutions on $R^n$ for small diffusion by N. Dancer Some recent results on diffusive predator-prey models in spatially heterogeneous environment by Y. Du and J. Shi Delayed non-local diffusive systems in biological invasion and disease spread by S. A. Gourley and J. Wu Asymptotic behavior for systems comparable to quasimonotone systems by J. Jiang $C^1$-smoothness of center manifolds for differential equations with state-dependent delay by T. Krisztin Normal forms for germs of analytic families of planar vector fields unfolding a generic saddle-node or resonant saddle by C. Rousseau Generic properties of symplectic diffeomorphisms by R. Saghin and Z. Xia Mathematical aspects of modelling tumour angiogenesis by B. D. Sleeman Interpretation of the generalized asymmetric May-Leonard model of three species competition as a food web in a chemostat by G. S. K. Wolkowicz On exact Poisson structures by Y. Yi and X. Zhang.

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