Verhulst, F., 1939-

Nonlinear differential equations and dynamical systems / Ferdinand Verhulst. - 2nd, rev. and expanded ed. - x, 303 p. : ill. ; 24 cm. - Universitext .

"With 127 figures."



1. Introduction -- 2. Autonomous equations -- 3. Critical points -- 4. Periodic solutions -- 5. Introduction to the theory of stability -- 6. Linear Equations -- 7. Stability by linearisation -- 8. Stability analysis by the direct method -- 9. Introduction to perturbation theory -- 10. The Poincare-Lindstedt method -- 11. The method of averaging -- 12. Relaxation Oscillations -- 13. Bifurcation Theory -- 14. Chaos -- 15. Hamiltonian systems -- Appendix 1. The Morse lemma -- Appendix 2. Linear periodic equations with a small parameter -- Appendix 3. Trigonometric formulas and averages -- Appendix 4. A sketch of Cotton's proof of the stable and unstable manifold theorem 3.3 -- Appendix 5. Bifurcations of self-excited oscillations -- Appendix 6. Normal forms of Hamiltonian systems near equilibria.

3540609342 (pbk. : alk. paper)

96002740


Differential equations, Nonlinear
Diferansiyel denklemler, Doğrusal olmayan
Differentiable dynamical systems
Türevlenebilir dinamik sistemler

QA372 / .V4713 1996