Catastrophes and bifurcations. (Catastrophes et bifurcations.) (French) Zbl 0907.58002

Paris: Ellipses. 331 p. (1989).
The book is the written version of the author’s geometric course given at ‘l’Ecole Polytechnique des promotions 1989, 1984 and 1985’.
Contents (translated from the French):
Chapter I. Local inversion.
Chapter II. Submanifolds.
Chapter III. Transversality theorems.
Chapter IV. Classification of differentiable functions.
Chapter V. Catastrophe theory.
Chapter VI. Vector fields.
Chapter VII. Linear vector fields.
Chapter VIII. Singular points of vector fields.
Chapter IX. Closed orbits. Structural stability.
Chapter X. Bifurcations of phase portraits.


58K35 Catastrophe theory
58-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis