Bifurcation without Parameters, 2015 Lecture Notes in Mathematics Series, Vol. 2117
Auteur : Liebscher Stefan
Introduction.- Methods & Concepts.- Cosymmetries.- Codimension One.- Transcritical Bifurcation.- Poincar´e-Andronov-Hopf Bifurcation.- Application: Decoupling in Networks.- Application: Oscillatory Profiles.- Codimension Two.- egenerate Transcritical Bifurcation.- egenerate Andronov-Hopf Bifurcation.- Bogdanov-Takens Bifurcation.- Zero-Hopf Bifurcation.- Double-Hopf Bifurcation.- Application: Cosmological Models.- Application: Planar Fluid Flow.- Beyond Codimension Two.- Codimension-One Manifolds of Equilibria.- Summary & Outlook.
This is the first systematic treatment of the topic
Numerous figures augment the analytic treatment and assist in understanding
The abstract theory is complemented by many applications
Date de parution : 11-2014
Ouvrage de 142 p.
15.5x23.5 cm