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Introduction to Structurally Stable Systems of Differential Equations

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.
  • 8-11 hverdage.
  • 10. december 2024
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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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