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Nonlinear differential equations and dynamical systems / Ferdinand Verhulst.

By: 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)
Uniform titles:
  • Nietlineaire differentiaalvergelijkingen en dynamische systemen. English
Subject(s): LOC classification:
  • QA372 .V4713 1996
Online resources:
Contents:
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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Item type Current library Home library Collection Call number Vol info Copy number Status Date due Barcode
Book Book Merkez Kütüphane Genel Koleksiyon / Main Collection Merkez Kütüphane Genel Koleksiyon QA372 .V4713 1996 (Browse shelf(Opens below)) 1 1 Available 0031448

"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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