Nonlinear differential equations and dynamical systems / Ferdinand Verhulst.
Language: İngilizce Original language: Dutch Series: UniversitextPublisher: Berlin ; New York : Springer, c1996Edition: 2nd, rev. and expanded edDescription: x, 303 p. : ill. ; 24 cmISBN:- 3540609342 (pbk. : alk. paper)
- Nietlineaire differentiaalvergelijkingen en dynamische systemen. English
- QA372 .V4713 1996
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Merkez Kütüphane Genel Koleksiyon / Main Collection | Merkez Kütüphane | Genel Koleksiyon | QA372 .V4713 1996 (Browse shelf(Opens below)) | 1 | 1 | Available | 0031448 |
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| QA372 .S63 1985 Singular-perturbation theory : an introduction with applications / | QA372 .S63 1985 Singular-perturbation theory : an introduction with applications / | QA372 .S66 2001 Ordinary differential equations : | QA372 .V4713 1996 Nonlinear differential equations and dynamical systems / | QA374 .A647 1982 Partial differential equations / | QA374 .A647 1982 Partial differential equations / | QA374 .A86 2005 Partial differential equations with Fourier series and boundary value problems / |
"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.
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