Elementary Stability and Bifurcation Theory

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For this reason, it uses only well-known methods of classical analysis at foundation level, while the applications and examples are specially chosen to be as varied as possible. We will send you an SMS containing a verification code.

Elementary Stability and Bifurcation Theory

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Mod-01 Lec-10 Elementary bifurcations

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Let us wish you a happy birthday! Date of Birth. By equilibrium solutions we mean, for example, steady solutions, time-periodic solutions, and quasi-periodic solutions. The purpose of this book is to teach the theory of bifurcation of equilibrium solutions of evolution problems governed by nonlinear differential equations.

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We have written this book for the broaqest audience of potentially interested learners: engineers, biologists, chemists, physicists, mathematicians, econom ists, and others whose work involves understanding equilibrium solutions of nonlinear differential equations. To accomplish our aims, we have thought it necessary to make the analysis 1. Of course, it is not possible to achieve generality and simplicity in a perfect union but, in fact, the general theory is simpler than the detailed theory required for particular applications. The general theory abstracts from the detailed problems only the essential features and provides the student with the skeleton on which detailed structures of the applications must rest.

Salvadori , An approach to bifurcation via stability theory , Proc. Salvadori , Exchange of stability and bifurcation for periodic differential systems , Proc. Vanderbauwhede , An abstract setting for the study of the Hopf bifurcation , Nonlin.

Elementary Stability and Bifurcation Theory

Vanderbauwhede , Stability of bifurcating equilibria and the principle of reduced stability , pp. Notes, Montecatini ed. Salvadori , Lecture Notes in Mathematics n.

Journals Seminars Books Theses Authors. Between and. Combining stability with symmetry properties in bifurcation problems.

Cicogna, G. References [1] S. MR [4] G. MR [12] P.