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Bifurcation theory. Principles and applications. (Teoria bifurcaţiei. Principii şi aplicaţii.) (Romanian) Zbl 1042.34071

The book contains five chapters. Some elements of functional analysis and differential topology are given in Chapter 1. The second chapter contains problems related to the static bifurcation. Chapter 3 contains results concerning the dynamic bifurcation. Numerical results and applications are given in the last chapters (Couette flow, thermal flow, bifurcation in the boundary layer). Some parts of the book have been used as basic material for master courses.
The book is useful for specialists in the theory of bifurcation, stability, and dynamic systems. The most important papers in that field are given in the references.

MSC:

34C23 Bifurcation theory for ordinary differential equations
34-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations
35-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations
37-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory
35B32 Bifurcations in context of PDEs
37Gxx Local and nonlocal bifurcation theory for dynamical systems
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