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"item_title" : "Introduction to Structurally Stable Systems of Differential Equations",
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"item_description" : "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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Introduction to Structurally Stable Systems of Differential Equations
by Sergei Yu Pilyugin and S. y. Pilyugin
Overview
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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Details
- ISBN-13: 9783764325749
- ISBN-10: 3764325747
- Publisher: Birkhauser
- Publish Date: March 1992
- Dimensions: 9.61 x 6.69 x 0.5 inches
- Shipping Weight: 1.16 pounds
- Page Count: 204
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