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Normally Hyperbolic Invariant Manifolds in Dynamical Systems - (Applied Mathematical Sciences) by Stephen Wiggins (Hardcover)

Normally Hyperbolic Invariant Manifolds in Dynamical Systems - (Applied Mathematical Sciences) by  Stephen Wiggins (Hardcover) - 1 of 1
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Highlights

  • In the past ten years, there has been much progress in understanding the global dynamics of systems with several degrees-of-freedom.
  • Author(s): Stephen Wiggins
  • 194 Pages
  • Mathematics, Geometry
  • Series Name: Applied Mathematical Sciences

Description



Book Synopsis



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.
Dimensions (Overall): 9.21 Inches (H) x 6.14 Inches (W) x .5 Inches (D)
Weight: 1.03 Pounds
Suggested Age: 22 Years and Up
Number of Pages: 194
Series Title: Applied Mathematical Sciences
Genre: Mathematics
Sub-Genre: Geometry
Publisher: Springer
Theme: General
Format: Hardcover
Author: Stephen Wiggins
Language: English
Street Date: June 10, 1994
TCIN: 91001604
UPC: 9780387942056
Item Number (DPCI): 247-10-5286
Origin: Made in the USA or Imported
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Shipping details

Estimated ship dimensions: 0.5 inches length x 6.14 inches width x 9.21 inches height
Estimated ship weight: 1.03 pounds
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