Hale, Jack K.

Dynamics and bifurcations/ Jack K. Hale and Huseyin Kocak - New York: Springer, 1991. - xiv, 568 p. : ill. ; 25 cm. - (Texts in applied mathematics), 3 .

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.

9780387971414


Bifurcation theory
Differentiable dynamical systems
Differential equations
Mathematics

516 / HAL/