9780821849347

Asymptotic Behavior of Dissipative Systems

by
  • ISBN13:

    9780821849347

  • ISBN10:

    0821849344

  • Format: Paperback
  • Copyright: 2010-01-04
  • Publisher: Amer Mathematical Society

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

Purchase Benefits

  • Free Shipping On Orders Over $35!
    Your order must be $35 or more to qualify for free economy shipping. Bulk sales, PO's, Marketplace items, eBooks and apparel do not qualify for this offer.
  • Get Rewarded for Ordering Your Textbooks! Enroll Now
List Price: $85.00 Save up to $8.50
  • Rent Book $76.50
    Add to Cart Free Shipping

    TERM
    PRICE
    DUE

Supplemental Materials

What is included with this book?

  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
  • The Rental copy of this book is not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

Summary

Introduction Discrete dynamical systems: Limit sets Stability of invariant sets and asymptotically smooth maps Examples of asymptotically smooth maps Dissipativeness and global attractors Dependence on parameters Fixed point theorems Stability relative to the global attractor and Morse-Smale maps Dimension of the global attractor Dissipativeness in two spaces Notes and remarks Continuous dynamical systems: Limit sets Asymptotically smooth and $\alpha$-contracting semigroups Stability of invariant sets Dissipativeness and global attractors Dependence on parameters Periodic processes Skew product flows Gradient flows Dissipativeness in two spaces Properties of the flow on the global attractor Notes and remarks Applications: Retarded functional differential equations Sectorial evolutionary equations A scalar parabolic equation The Navier-Stokes equation Neutral functional differential equations Some abstract evolutionary equations A one-dimensional damped wave equation A three-dimensional damped wave equation Remarks on other applications Dependence on parameters and approximation of the attractor Appendix. Stable and unstable manifolds References Index

Table of Contents

Introduction
Discrete dynamical systems: Limit sets
Stability of invariant sets and asymptotically smooth maps
Examples of asymptotically smooth maps
Dissipativeness and global attractors
Dependence on parameters
Fixed point theorems
Stability relative to the global attractor and Morse-Smale maps
Dimension of the global attractor
Dissipativeness in two spaces
Notes and remarks
Continuous dynamical systems
Limit sets Asymptotically smooth and $\alpha$-contracting semigroups
Stability of invariant sets
Dissipativeness and global attractors
Dependence on parameters
Periodic processes Skew product flows
Gradient flows Dissipativeness in two spaces
Properties of the flow on the global attractor
Notes and remarks Applications: Retarded functional differential equations
Sectorial evolutionary equations
A scalar parabolic equation
The Navier-Stokes equation
Neutral functional differential equations
Some abstract evolutionary equations
A one-dimensional damped wave equation
A three-dimensional damped wave equation
Remarks on other applications
Dependence on parameters and approximation of the attractor
Appendix Stable and unstable manifolds
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Rewards Program

Write a Review