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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Normally Hyperbolic Invariant Manifolds in Dynamical Systems

Normally Hyperbolic Invariant Manifolds in Dynamical Systems

Mezic, I.
Haller, G.
Wiggins, Stephen

Hardcover

Series: Applied Mathematical Sciences, Book 105

General MathematicsGeometryPhysics

ISBN10: 038794205X
ISBN13: 9780387942056
Publisher: Springer
Published: Jun 10 1994
Pages: 194
Weight: 1.03
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
In the past ten years, there has been much progress in understanding the global dynamics of systems with several degrees-of-freedom. An important tool in these studies has been the theory of normally hyperbolic invariant manifolds and foliations of normally hyperbolic invariant manifolds. In recent years these techniques have been used for the development of global perturbation methods, the study of resonance phenomena in coupled oscillators, geometric singular perturbation theory, and the study of bursting phenomena in biological oscillators. Invariant manifold theorems have become standard tools for applied mathematicians, physicists, engineers, and virtually anyone working on nonlinear problems from a geometric viewpoint. In this book, the author gives a self-contained development of these ideas as well as proofs of the main theorems along the lines of the seminal works of Fenichel. In general, the Fenichel theory is very valuable for many applications, but it is not easy for people to get into from existing literature. This book provides an excellent avenue to that. Wiggins also describes a variety of settings where these techniques can be used in applications.

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