Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Stabilité Globale Des Systemes Dynamiques
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Stabilité globale des systèmes dynamiques
Author: Michael Shub
Publisher:
ISBN:
Category : Differentiable dynamical systems
Languages : en
Pages : 211
Book Description
Publisher:
ISBN:
Category : Differentiable dynamical systems
Languages : en
Pages : 211
Book Description
Global Stability of Dynamical Systems
Author: Michael Shub
Publisher: Springer Science & Business Media
ISBN: 1475719477
Category : Mathematics
Languages : en
Pages : 159
Book Description
These notes are the result of a course in dynamical systems given at Orsay during the 1976-77 academic year. I had given a similar course at the Gradu ate Center of the City University of New York the previous year and came to France equipped with the class notes of two of my students there, Carol Hurwitz and Michael Maller. My goal was to present Smale's n-Stability Theorem as completely and compactly as possible and in such a way that the students would have easy access to the literature. I was not confident that I could do all this in lectures in French, so I decided to distribute lecture notes. I wrote these notes in English and Remi Langevin translated them into French. His work involved much more than translation. He consistently corrected for style, clarity, and accuracy. Albert Fathi got involved in reading the manuscript. His role quickly expanded to extensive rewriting and writing. Fathi wrote (5. 1) and (5. 2) and rewrote Theorem 7. 8 when I was in despair of ever getting it right with all the details. He kept me honest at all points and played a large role in the final form of the manuscript. He also did the main work in getting the manuscript ready when I had left France and Langevin was unfortunately unavailable. I ran out of steam by the time it came to Chapter 10. M.
Publisher: Springer Science & Business Media
ISBN: 1475719477
Category : Mathematics
Languages : en
Pages : 159
Book Description
These notes are the result of a course in dynamical systems given at Orsay during the 1976-77 academic year. I had given a similar course at the Gradu ate Center of the City University of New York the previous year and came to France equipped with the class notes of two of my students there, Carol Hurwitz and Michael Maller. My goal was to present Smale's n-Stability Theorem as completely and compactly as possible and in such a way that the students would have easy access to the literature. I was not confident that I could do all this in lectures in French, so I decided to distribute lecture notes. I wrote these notes in English and Remi Langevin translated them into French. His work involved much more than translation. He consistently corrected for style, clarity, and accuracy. Albert Fathi got involved in reading the manuscript. His role quickly expanded to extensive rewriting and writing. Fathi wrote (5. 1) and (5. 2) and rewrote Theorem 7. 8 when I was in despair of ever getting it right with all the details. He kept me honest at all points and played a large role in the final form of the manuscript. He also did the main work in getting the manuscript ready when I had left France and Langevin was unfortunately unavailable. I ran out of steam by the time it came to Chapter 10. M.
Stabilite' Globale Des Systemes Dynamiques. (Course in Dynamical Systems Given at Orsay, Paris, During the 1976-77 Academic Year).
Author: Michael Shub
Publisher:
ISBN:
Category :
Languages : en
Pages : 211
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 211
Book Description
Introduction to Structurally Stable Systems of Differential Equations
Author: Sergei Yurievitch Pilyugin
Publisher: Springer Science & Business Media
ISBN: 9783764325749
Category : Mathematics
Languages : en
Pages : 208
Book 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.
Publisher: Springer Science & Business Media
ISBN: 9783764325749
Category : Mathematics
Languages : en
Pages : 208
Book 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.
Stability of Dynamical Systems
Author: Xiaoxin Liao
Publisher: Elsevier
ISBN: 0080550614
Category : Mathematics
Languages : en
Pages : 719
Book Description
The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science. This monograph provides some state-of-the-art expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types and in limit cycle, normal form and Hopf bifurcation control of nonlinear dynamic systems. - Presents comprehensive theory and methodology of stability analysis - Can be used as textbook for graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, scientific computation - Serves as a comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers
Publisher: Elsevier
ISBN: 0080550614
Category : Mathematics
Languages : en
Pages : 719
Book Description
The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science. This monograph provides some state-of-the-art expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types and in limit cycle, normal form and Hopf bifurcation control of nonlinear dynamic systems. - Presents comprehensive theory and methodology of stability analysis - Can be used as textbook for graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, scientific computation - Serves as a comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers
Smooth Dynamical Systems
Author: M C Irwin
Publisher: World Scientific
ISBN: 9814491209
Category : Science
Languages : en
Pages : 273
Book Description
This is a reprint of M C Irwin's beautiful book, first published in 1980. The material covered continues to provide the basis for current research in the mathematics of dynamical systems. The book is essential reading for all who want to master this area.
Publisher: World Scientific
ISBN: 9814491209
Category : Science
Languages : en
Pages : 273
Book Description
This is a reprint of M C Irwin's beautiful book, first published in 1980. The material covered continues to provide the basis for current research in the mathematics of dynamical systems. The book is essential reading for all who want to master this area.
Sur la stabilité des systèmes dynamiques
Author: Gingras, Michèle
Publisher: 1976.
ISBN:
Category :
Languages : fr
Pages : 83
Book Description
Publisher: 1976.
ISBN:
Category :
Languages : fr
Pages : 83
Book Description
Commande et optimisation de systèmes dynamiques
Author: Frédéric Bonnans
Publisher: Editions Ecole Polytechnique
ISBN: 9782730212519
Category : Hybrid systems
Languages : fr
Pages : 288
Book Description
Publisher: Editions Ecole Polytechnique
ISBN: 9782730212519
Category : Hybrid systems
Languages : fr
Pages : 288
Book Description
Sur quelques aspects de la théorie de la stabilité des systèmes dynamiques
Author: Maurice Roseau
Publisher:
ISBN:
Category : Stability
Languages : fr
Pages : 64
Book Description
Publisher:
ISBN:
Category : Stability
Languages : fr
Pages : 64
Book Description