TY - BOOK AU - Hale, Jack K. AU - Kocak, Huseyin TI - Dynamics and bifurcations SN - 9780387971414 U1 - 516 PY - 1991/// CY - New York PB - Springer KW - Bifurcation theory KW - Differentiable dynamical systems KW - Differential equations KW - Mathematics N1 - I: Dimension One -- 1. Scalar Autonomous Equations -- 2. Elementary Bifurcations -- 3. Scalar Maps -- II: Dimension One and One Half -- 4. Scalar Nonautonomous Equations -- 5. Bifurcation of Periodic Equations -- 6. On Tori and Circles -- III: Dimension Two -- 7. Planar Autonomous Systems -- 8. Linear Systems -- 9. Near Equilibria -- 10. In the Presence of a Zero Eigenvalue -- 11. In the Presence of Purely Imaginary Eigenvalues -- 12. Periodic Orbits -- 13. All Planar Things Considered -- 14- Conservative and Gradient Systems -- 15. Planar Maps -- IV: Higher Dimensions -- 16. Dimension Two and One Half -- 17. Dimension Three -- 18. Dimension Four -- Farewell -- APPENDIX: A Catalogue of Fundamental Theorems -- References ER -