TY  - GEN
AU  - Verhulst, F.,
TI  - Nonlinear differential equations and dynamical systems
T2  - Universitext
SN  - 3540609342 (pbk. : alk. paper)
AV  - QA372 .V4713 1996
PY  - 1996///
CY  - Berlin, New York
PB  - Springer
KW  - Differential equations, Nonlinear
KW  - Diferansiyel denklemler, Doğrusal olmayan
KW  - Differentiable dynamical systems
KW  - Türevlenebilir dinamik sistemler
N1  - "With 127 figures."; Includes bibliographical references (p. 295-300) and index; 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
UR  - http://www.loc.gov/catdir/enhancements/fy0815/96002740-b.html
ER  -