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Introduction to Structurally Stable Systems of Differential Equations - Sergei Yu Pilyugin - Bog

af Sergei Yu Pilyugin
Introduction to Structurally Stable Systems of Differential Equations af Sergei Yu Pilyugin
Bag om Introduction to Structurally Stable Systems of Differential Equations

1. Flows and Cascades.- 2. Equivalence Relations.- 3. Spaces of Systems of Differential Equations and of Diffeomorphisms.- 4. Hyperbolic Rest Point.- 5. Periodic Point and Closed Trajectory.- 6. Transversality.- 7. The Kupka-Smale Theorem.- 8. The Closing Lemma.- 9. Necessary Conditions for Structural Stability.- 10. Homoclinic Point.- 11. Morse-Smale Systems.- 12. Hyperbolic Sets.- 13. The Analytic Strong Transversality Condition.- Appendix. Proof of the Grobman-Hartman Theorem.- References.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9783764325749
  • Indbinding:
  • Hardback
  • Sideantal:
  • 204
  • Udgivet:
  • 18. marts 1992
  • Størrelse:
  • 170x244x13 mm.
  • Vægt:
  • 526 g.
  • 2-4 uger.
  • 5. april 2025
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Beskrivelse af Introduction to Structurally Stable Systems of Differential Equations

1. Flows and Cascades.- 2. Equivalence Relations.- 3. Spaces of Systems of Differential Equations and of Diffeomorphisms.- 4. Hyperbolic Rest Point.- 5. Periodic Point and Closed Trajectory.- 6. Transversality.- 7. The Kupka-Smale Theorem.- 8. The Closing Lemma.- 9. Necessary Conditions for Structural Stability.- 10. Homoclinic Point.- 11. Morse-Smale Systems.- 12. Hyperbolic Sets.- 13. The Analytic Strong Transversality Condition.- Appendix. Proof of the Grobman-Hartman Theorem.- References.

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