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Dynamical systems and microphysics : geometry and mechanics : the proceedings of the 2nd International Seminar on Mathematical Theory of Dynamical Systems and Microphysics held at the International Center for Mechanical Sciences at Udine, Italy, from September 1 to 11, 1981 /
Dynamical Systems and Microphysics.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , , |
| Formato: | Electrónico Congresos, conferencias eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1982.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 111 | 2 | |a International Seminar on Mathematical Theory of Dynamical Systems and Microphysics |n (2nd : |d 1981 : |c Udine, Italy) | |
| 245 | 1 | 0 | |a Dynamical systems and microphysics : |b geometry and mechanics : the proceedings of the 2nd International Seminar on Mathematical Theory of Dynamical Systems and Microphysics held at the International Center for Mechanical Sciences at Udine, Italy, from September 1 to 11, 1981 / |c edited by Andr�e Avez, Austin Blaqui�ere, Angelo Marzollo. |
| 260 | |a New York : |b Academic Press, |c 1982. | ||
| 300 | |a 1 online resource (xiii, 465 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Dynamical Systems and Microphysics: Geometry and Mechanics; Copyright Page; Table of Contents; Contributors; Preface; PART I: GEOMETRIC STRUCTURES, MECHANICS, AND GENERAL RELATIVITY; CHAPTER 1. LAGRANGIAN SUBMANIFOLDS, STATICS AND DYNAMICS OF MECHANICAL SYSTEMS; 1. Lagrangian submanifolds of cotangent bundles; 2. Hamiltonian systems; CHAPTER 2. DEFORMATIONS AND QUANTIZATION; 1 -- CLASSICAL DYNAMICS AND SYMPLECTIC GEOMETRY; 2 -- HOCHSCHILD COHOMOLOGY AND CHEVALLEY COHOMOLOGY; 3 -- FORMAL DEFORMATIONS; 4 -- THE STAR PRODUCTS; 5 -- SYMPLECTIC CONNECTIONS AND THE SYMPLECTIC INVARIANT � | |
| 505 | 8 | |a 6 -- THE VEY STAR-PRODUCTS7 -- INTRODUCTION TO A SPECTRAL THEORY AND QUANTIZATION; 8 -- THE CASE WHERE b2(W) = 0; 9 -- LIE ALGEBRAS GENERATED BY A WEAK TWISTED PRODUCT AND VEY LIE ALGEBRAS; 10 -- EXISTENCE THEOREM; 11 -- INVARIANT STAR PRODUCTS; CHAPTER 3. LIE GROUP ACTIONS ON POISSON AND CANONICAL MANIFOLDS; 1. POISSON MANIFOLDS; 2. CANONICAL MANIFOLDS; 3. AUTOMORPHISMS AND INFINITESIMAL AUTOMORPHISMS; 4. LIE GROUP ACTIONS; CHAPTER 4. GAUGE THEORIES AND GRAVITATION; 1. ANALYSIS OF MANIFOLDS; 2. HAMILTONIAN SYSTEMS; 3. MAXWELL'S EQUATIONS; 4. YANG-MILLS THEORIES; 5. GRAVITATION | |
| 505 | 8 | |a CHAPTER 5. RIEMANNIAN GEOMETRY AND MECHANICS : THE KEPLER PROBLEM1. THE JACOBI SYSTEM.; 2. THE KEPLER PROBLEM; 3. CURVATURE AND MOTION; 4. GEODESIC FLOW AND PHASE SPACE; 5. THE SYMMETRY GROUP; 6. THE CASE n = 3; 7. THE COADJOINT REPRESENTATION; 8. ORBIT MANIFOLDS; 9. STABILITY OF PERIODIC ORBITS; CHAPTER 6. CONFINEMENT PROBLEMS IN MATHEMATICAL PHYSICS, CLASSICAL AND MODERN; 1. INTRODUCTION; 2. THE CLASSICAL EXAMPLES; 3. VORTICES IN TYPE II SUPERCONDUCTIVITY; 4. ADLER'S APPROACH TO QUARK CONFINEMENT; PART II: SYSTEM THEORY APPROACHES TO MECHANICS | |
| 505 | 8 | |a CHAPTER 7. OPTIMALITY AND REACHABILITY WITH FEEDBACK CONTROL1. DYNAMICAL SYSTEM; 2. FEEDBACK CONTROL; 3. PLAYABILITY; 4. PERFORMANCE INDEX; 5. OPTIMALITY; 6. NECESSARY CONDITIONS -- A FUNCTIONAL EQUATION; 7. NECESSARY CONDITIONS -- AMINIMUM PRINCIPLE; 8. NECESSARY CONDITIONS -- TRANSVERSALITY; 9. SUMMARY OF NECESSARY CONDITIONS; 10. REACHABILITY; 11. EXAMPLE: TIME-OPTIMAL NAVIGATION; CHAPTER 8. OPTIMIZATION RELATIVISTIC AND CONTROLLABILITY IN PROBLEMS OF DYNAMICS AND OF GEOMETRICAL OPTICS; INTRODUCTION.; PART I : AN OPTIMAL CONTROL PROBLEM IN RELATIVISTIC DYNAMICS OF A MASS-POINT | |
| 505 | 8 | |a 1. PROBLEM STATEMENT, AND FIRST ASSUMPTIONS2. A FIRST BASIC PROPOSITION; 3. PATHS IN AUGMENTED STATE SPACE; 4. PROPOSITIONS 2 AND 3; 5. EXAMPLE 1; 6. EXAMPLE 2; 7. MECHANICAL INDEX OF REFRACTION; 8. THE PRINCIPLE OF PARALLEL TRANSPORT; 9. A CONNECTION WITH WAVE MECHANICS; PART II: A CONTROLLABILITY PROBLEM IN RELATIVISTIC DYNAMICS OF A MASS-POINT; 10. BASIC PROPOSITIONS; 11. EXAMPLE 1; 12. EXAMPLE 2; 13. A FAMILY OF SEMI-PERMEABLE SURFACES; 14. TRAJECTORIES IN SEMI-PERMEABLE SURFACES; 15. OPTICAL INDEX OF REFRACTION; 16. EQUATION OF EIKONALE | |
| 520 | |a Dynamical Systems and Microphysics. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Geometry, Differential |v Congresses. | |
| 650 | 0 | |a Microphysics |v Congresses. | |
| 650 | 0 | |a Mechanics |v Congresses. | |
| 650 | 0 | |a System theory |v Congresses. | |
| 650 | 0 | |a Mathematical physics |v Congresses. | |
| 650 | 6 | |a G�eom�etrie diff�erentielle |0 (CaQQLa)201-0001184 |v Congr�es. |0 (CaQQLa)201-0378219 | |
| 650 | 6 | |a Microphysique |0 (CaQQLa)201-0246734 |v Congr�es. |0 (CaQQLa)201-0378219 | |
| 650 | 6 | |a M�ecanique |0 (CaQQLa)201-0003997 |v Congr�es. |0 (CaQQLa)201-0378219 | |
| 650 | 6 | |a Th�eorie des syst�emes |0 (CaQQLa)201-0010973 |v Congr�es. |0 (CaQQLa)201-0378219 | |
| 650 | 6 | |a Physique math�ematique |0 (CaQQLa)201-0008394 |v Congr�es. |0 (CaQQLa)201-0378219 | |
| 650 | 7 | |a Geometry, Differential |2 fast |0 (OCoLC)fst00940919 | |
| 650 | 7 | |a Mathematical physics |2 fast |0 (OCoLC)fst01012104 | |
| 650 | 7 | |a Mechanics |2 fast |0 (OCoLC)fst01013446 | |
| 650 | 7 | |a Microphysics |2 fast |0 (OCoLC)fst01019993 | |
| 650 | 7 | |a System theory |2 fast |0 (OCoLC)fst01141423 | |
| 650 | 1 | 7 | |a Mathematische fysica. |2 gtt |
| 650 | 7 | |a G�eom�etrie diff�erentielle |x Congr�es. |2 ram | |
| 650 | 7 | |a M�ecanique |x Congr�es. |2 ram | |
| 650 | 7 | |a Syst�emes, th�eorie des |x Congr�es. |2 ram | |
| 650 | 7 | |a Physique math�ematique |x Congr�es. |2 ram | |
| 655 | 2 | |a Congress |0 (DNLM)D016423 | |
| 655 | 7 | |a proceedings (reports) |2 aat |0 (CStmoGRI)aatgf300027316 | |
| 655 | 7 | |a Conference papers and proceedings |2 fast |0 (OCoLC)fst01423772 | |
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| 655 | 7 | |a Actes de congr�es. |2 rvmgf |0 (CaQQLa)RVMGF-000001049 | |
| 700 | 1 | |a Avez, A. |q (Andr�e) | |
| 700 | 1 | |a Blaqui�ere, Austin. | |
| 700 | 1 | |a Marzollo, Angelo. | |
| 776 | 0 | 8 | |i Print version: |a International Seminar on Mathematical Theory of Dynamical Systems and Microphysics (2nd : 1981 : Udine, Italy). |t Dynamical systems and microphysics. |d New York : Academic Press, 1982 |w (DLC) 82013791 |w (OCoLC)8667703 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780120687206 |z Texto completo |