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.
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978-0-8218-3721-4 (9780821837214)
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Schweitzer Klassifikation
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.
