Elements of applied bifurcation theory /

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Bibliographic Details
Author / Creator:Kuznet͡sov, I͡U. A. (I͡Uriĭ Aleksandrovich)
Edition:2nd ed.
Imprint:New York : Springer, 1998.
Description:xix, 591 p. : ill. ; 24 cm.
Language:English
Series:Applied mathematical sciences ; 112
Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 112.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/3902747
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ISBN:0387983821 (hardcover : alk. paper)
Notes:Includes bibliographical references and index.
Table of Contents:
  • 1. Introduction to Dynamical Systems
  • 2. Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems
  • 3. One-Parameter Bifurcations of Equilibria in Continuous-Time Dynamical Systems
  • 4. One-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems
  • 5. Bifurcations of Equilibria and Periodic Orbits in n-Dimensional Dynamical Systems
  • 6. Bifurcations of Orbits Homoclinic and Heteroclinic to Hyperbolic Equilibria
  • 7. Other One-Parameter Bifurcations in Continuous-Time Dynamical Systems
  • 8. Two-Parameter Bifurcations of Equilibria in Continuous-Time Dynamical Systems
  • 9. Two-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems
  • 10. Numerical Analysis of Bifurcations
  • A. Basic Notions from Algebra, Analysis, and Geometry.