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By investigating the phenomena of bifurcation and chaos, Catastrophe Theory proved to be fundamental to the understanding of qualitative dynamics. This fully revised second edition includes two new chapters treating genericity and stability of unfoldings.
List of contents
1 Nondegenerate Critical Points: The Morse Lemma, 2 The Fold and the Cusp, 3 Degenerate Critical Points: The Reduction Lemma, 4 Determinacy, 5 Codimension, 6 The Classification Theorem for Germs of Codimension at Most 4, 7 Unfoldings, 8 Transversality, 9 The Malgrange-Mather Preparation Theorem, 10 The Fundamental Theorem on Universal Unfoldings, 11 Genericity, 12 Stability
About the author
DOMENICO P. L. CASTRIGIANO is Professor of Mathematics at the Technical University of Munich, where his research interests focus on problems of mathematical physics, and include real analysis and measure theory on topological spaces., SANDRA A. HAYES is Professor of Mathematics at the Technical University of Munich. Her research interests include higher-dimensional complex dynamical systems and chaotic time series analysis.
Summary
By investigating the phenomena of bifurcation and chaos, Catastrophe Theory proved to be fundamental to the understanding of qualitative dynamics. This fully revised second edition includes two new chapters treating genericity and stability of unfoldings.
