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Nonautonomous Dynamical Systems
 
Peter E. Kloeden Goethe University Frankfurt am Main, Frankfurt, Germany
Martin Rasmussen Imperial College, London, England
Nonautonomous Dynamical Systems
Hardcover ISBN:  978-0-8218-6871-3
Product Code:  SURV/176
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-1403-0
Product Code:  SURV/176.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Hardcover ISBN:  978-0-8218-6871-3
eBook: ISBN:  978-1-4704-1403-0
Product Code:  SURV/176.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
Nonautonomous Dynamical Systems
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Nonautonomous Dynamical Systems
Peter E. Kloeden Goethe University Frankfurt am Main, Frankfurt, Germany
Martin Rasmussen Imperial College, London, England
Hardcover ISBN:  978-0-8218-6871-3
Product Code:  SURV/176
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-1403-0
Product Code:  SURV/176.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Hardcover ISBN:  978-0-8218-6871-3
eBook ISBN:  978-1-4704-1403-0
Product Code:  SURV/176.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
  • Book Details
     
     
    Mathematical Surveys and Monographs
    Volume: 1762011; 264 pp
    MSC: Primary 37;

    The theory of nonautonomous dynamical systems in both of its formulations as processes and skew product flows is developed systematically in this book. The focus is on dissipative systems and nonautonomous attractors, in particular the recently introduced concept of pullback attractors. Linearization theory, invariant manifolds, Lyapunov functions, Morse decompositions and bifurcations for nonautonomous systems and set-valued generalizations are also considered as well as applications to numerical approximations, switching systems and synchronization. Parallels with corresponding theories of control and random dynamical systems are briefly sketched.

    With its clear and systematic exposition, many examples and exercises, as well as its interesting applications, this book can serve as a text at the beginning graduate level. It is also useful for those who wish to begin their own independent research in this rapidly developing area.

    Readership

    Graduate students and research mathematicians interested in dynamical systems.

  • Table of Contents
     
     
    • Chapters
    • 1. Autonomous dynamical systems
    • 2. Nonautonomous dynamical systems
    • 3. Attractors
    • 4. Morse decompositions
    • 5. Linear systems
    • 6. Invariant manifolds
    • 7. Lyapunov functions
    • 8. Bifurcations
    • 9. Set-valued nonautonomous dynamical systems
    • 10. Nonautonomous semi-dynamical systems
    • 11. Approximation and perturbation of attractors
    • 12. Infinite-dimensional systems
    • 13. Switching and control systems
    • 14. Random dynamical systems
    • 15. Synchronization
    • Appendix
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1762011; 264 pp
MSC: Primary 37;

The theory of nonautonomous dynamical systems in both of its formulations as processes and skew product flows is developed systematically in this book. The focus is on dissipative systems and nonautonomous attractors, in particular the recently introduced concept of pullback attractors. Linearization theory, invariant manifolds, Lyapunov functions, Morse decompositions and bifurcations for nonautonomous systems and set-valued generalizations are also considered as well as applications to numerical approximations, switching systems and synchronization. Parallels with corresponding theories of control and random dynamical systems are briefly sketched.

With its clear and systematic exposition, many examples and exercises, as well as its interesting applications, this book can serve as a text at the beginning graduate level. It is also useful for those who wish to begin their own independent research in this rapidly developing area.

Readership

Graduate students and research mathematicians interested in dynamical systems.

  • Chapters
  • 1. Autonomous dynamical systems
  • 2. Nonautonomous dynamical systems
  • 3. Attractors
  • 4. Morse decompositions
  • 5. Linear systems
  • 6. Invariant manifolds
  • 7. Lyapunov functions
  • 8. Bifurcations
  • 9. Set-valued nonautonomous dynamical systems
  • 10. Nonautonomous semi-dynamical systems
  • 11. Approximation and perturbation of attractors
  • 12. Infinite-dimensional systems
  • 13. Switching and control systems
  • 14. Random dynamical systems
  • 15. Synchronization
  • Appendix
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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