Author | Hale, Jack K. author |
---|---|
Title | Dynamics and Bifurcations [electronic resource] / by Jack K. Hale, Hรผseyin Koรงak |
Imprint | New York, NY : Springer New York, 1991 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-4426-4 |
Descript | XIV, 574 p. online resource |
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