Introduction to Structurally Stable Systems of Differential Equations

By Sergei Yurievitch Pilyugin

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.

• Format: Hardcover
• Language: English
• ISBN: 3764325747
• ISBN13: 9783764325749
• Release Date: March 1992
• Publisher: Birkhauser
• Length: 204 Pages
• Weight: 1.16 lbs.
• Dimensions: 0.5" x 6.7" x 9.6"