Lecture Notes in Mathematics

Liebscher, Stefan

Targeted at mathematicians having at least a basic familiarity with classical bifurcation theory, this monograph provides a systematic classification and analysis of bifurcations without parameters in dynamical systems. Although the methods and concepts are briefly introduced, a prior knowledge of center-manifold reductions and normal-form calculations will help the reader to appreciate the presentation. Bifurcations without parameters occur along manifolds of equilibria, at points where normal hyperbolicity of the manifold is violated. The general theory, illustrated by many applications, aims at a geometric understanding of the local dynamics near the bifurcation points.

Details

Published by: Springer

Publication Date: 2014-11-19

Format: Paperback

ISBN-13: 9783319107769

DOI: 10.1007/978-3-319-10777-6

Dimensions: 235cm x155cm

Pages: 142