cx r22 2 45 208011609 http://www.idref.fr/208011609 20171021 20250618084110.000 0499 0499 Tr2 20171021afrey50 ba0 eng 639-2 2015 k fre 0 # # AFNOR Oeuvre Textuelle ba0yba0 Bifurcation without parameters ba0yba0y 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 18357706X ba0yba08 Liebscher Stefan 070 028631560 Bifurcation, Théorie de la rameau 027394395 Variétés (mathématiques) rameau 027225402 Équations aux dérivées partielles rameau 027810879 Dynamique différentiable rameau Bifurcation theory lc Manifolds (Mathematics) lc Differentiable dynamical systems lc Differential equations, partial lc Mathematics lc Differential Equations lc Dynamics lc Ergodic theory lc Partial differential equations lc Mathematics Ordinary Differential Equations Partial Differential Equations Dynamical Systems and Ergodic Theory FR Abes 20250618 AFNOR