Bifurcation without parameters /
xii, 142 p. : illustrations ; 24 cm. - (Lecture notes in mathematics ; 2117.) Content notes : 1. Introduction.-
2. Methods & Concepts.-
3. Cosymmetries.-
4. Transcritical Bifurcation.-
5. Poincar'e-Andronov-Hopf Bifurcation.-
6. Application: Decoupling in Networks.-
7. Application: Oscillatory Profiles.-
8. Degenerate Transcritical Bifurcation.-
9. Degenerate Andronov-Hopf Bifurcation.-
10. Bogdanov-Takens Bifurcation.-
11. Zero-Hopf Bifurcation.-
12. Double-Hopf Bifurcation.-
13. Application: Cosmological Models of binchi type, the tumbling universe.-
14. Application: Planar Fluid Flow in a planar channel, spatial dynamics with reversible bogdanov-takens bifurcation.-
15. Codimension-One Manifolds of Equilibria.-
16. Summary & Outlook.-
References. Manifolds (Mathematics). Ordinary Differential Equations.