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Nonlinear Dynamics and Evolution Equations
 
Edited by: Hermann Brunner Memorial University of Newfoundland, St. John’s, NL, Canada
Xiao-Qiang Zhao Memorial University of Newfoundland, St. John’s, NL, Canada
Xingfu Zou University of Western Ontario, London, ON, Canada
A co-publication of the AMS and Fields Institute
Nonlinear Dynamics and Evolution Equations
Hardcover ISBN:  978-0-8218-3721-4
Product Code:  FIC/48
List Price: $133.00
MAA Member Price: $119.70
AMS Member Price: $106.40
eBook ISBN:  978-1-4704-3082-5
Product Code:  FIC/48.E
List Price: $124.00
MAA Member Price: $111.60
AMS Member Price: $99.20
Hardcover ISBN:  978-0-8218-3721-4
eBook: ISBN:  978-1-4704-3082-5
Product Code:  FIC/48.B
List Price: $257.00 $195.00
MAA Member Price: $231.30 $175.50
AMS Member Price: $205.60 $156.00
Nonlinear Dynamics and Evolution Equations
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Nonlinear Dynamics and Evolution Equations
Edited by: Hermann Brunner Memorial University of Newfoundland, St. John’s, NL, Canada
Xiao-Qiang Zhao Memorial University of Newfoundland, St. John’s, NL, Canada
Xingfu Zou University of Western Ontario, London, ON, Canada
A co-publication of the AMS and Fields Institute
Hardcover ISBN:  978-0-8218-3721-4
Product Code:  FIC/48
List Price: $133.00
MAA Member Price: $119.70
AMS Member Price: $106.40
eBook ISBN:  978-1-4704-3082-5
Product Code:  FIC/48.E
List Price: $124.00
MAA Member Price: $111.60
AMS Member Price: $99.20
Hardcover ISBN:  978-0-8218-3721-4
eBook ISBN:  978-1-4704-3082-5
Product Code:  FIC/48.B
List Price: $257.00 $195.00
MAA Member Price: $231.30 $175.50
AMS Member Price: $205.60 $156.00
  • Book Details
     
     
    Fields Institute Communications
    Volume: 482006; 311 pp
    MSC: Primary 34; 35; 37; 53; 92

    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.

    Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

    Readership

    Graduate students and research mathematicians interested in dynamical systems, differential equations, mathematical biology, and applied mathematics.

  • Table of Contents
     
     
    • Chapters
    • Julien Arino and P. van den Driessche — Disease spread in metapopulations
    • Peter Bates — On some nonlocal evolution equations arising in materials science
    • Walter Craig — Invariant tori for Hamiltonian PDE
    • Norman Dancer — Stable and not too unstable solutions on $R^n$ for small diffusion
    • Yihong Du and Junping Shi — Some recent results on diffusive predator-prey models in spatially heterogeneous environment
    • S. Gourley and J. Wu — Delayed non-local diffusive systems in biological invasion and disease spread
    • Jifa Jiang — Asymptotic behavior for systems comparable to quasimonotone systems
    • Tibor Krisztin — $C^1$-smoothness of center manifolds for differential equations with state-dependent delay
    • Christiane Rousseau — Normal forms for germs of analytic families of planar vector fields unfolding a generic saddle-node or resonant saddle
    • Radu Saghin and Zhihong Xia — Generic properties of symplectic diffeomorphisms
    • B. Sleeman — Mathematical aspects of modelling tumour angiogenesis
    • Gail Wolkowicz — Interpretation of the generalized asymmetric May-Leonard model of three species competition as a food web in a chemostat
    • Yingfei Yi and Xiang Zhang — On exact Poisson structures
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 482006; 311 pp
MSC: Primary 34; 35; 37; 53; 92

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.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Readership

Graduate students and research mathematicians interested in dynamical systems, differential equations, mathematical biology, and applied mathematics.

  • Chapters
  • Julien Arino and P. van den Driessche — Disease spread in metapopulations
  • Peter Bates — On some nonlocal evolution equations arising in materials science
  • Walter Craig — Invariant tori for Hamiltonian PDE
  • Norman Dancer — Stable and not too unstable solutions on $R^n$ for small diffusion
  • Yihong Du and Junping Shi — Some recent results on diffusive predator-prey models in spatially heterogeneous environment
  • S. Gourley and J. Wu — Delayed non-local diffusive systems in biological invasion and disease spread
  • Jifa Jiang — Asymptotic behavior for systems comparable to quasimonotone systems
  • Tibor Krisztin — $C^1$-smoothness of center manifolds for differential equations with state-dependent delay
  • Christiane Rousseau — Normal forms for germs of analytic families of planar vector fields unfolding a generic saddle-node or resonant saddle
  • Radu Saghin and Zhihong Xia — Generic properties of symplectic diffeomorphisms
  • B. Sleeman — Mathematical aspects of modelling tumour angiogenesis
  • Gail Wolkowicz — Interpretation of the generalized asymmetric May-Leonard model of three species competition as a food web in a chemostat
  • Yingfei Yi and Xiang Zhang — On exact Poisson structures
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.