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Introduction to Structurally Stable Systems of Differential Equations

Introduction to Structurally Stable Systems of Differential Equations

Hardcover

General Mathematics

ISBN10: 3764325747
ISBN13: 9783764325749
Publisher: Birkhauser
Published: Mar 18 1992
Pages: 204
Weight: 1.16
Height: 0.50 Width: 6.69 Depth: 9.61
Language: English
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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General Mathematics