Advertisement
Published in:
1995 | OriginalPaper | Chapter
Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems
Author : Yuri A. Kuznetsov
Published in: Elements of Applied Bifurcation Theory
Publisher: Springer New York
Included in: Professional Book Archive
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
In this chapter we introduce and discuss the following fundamental notions that will be used throughout the book: topological equivalence of dynamical systems and their classification, bifurcations and bifurcation diagrams, and topological normal forms for bifurcations. The last section is devoted to the more abstract notion of structural stability. In this chapter we will be dealing only with dynamical systems in the state space X = ℝn.