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Shape theory : an Introduction / / Jerzy Dydak and Jack Segal
| Shape theory : an Introduction / / Jerzy Dydak and Jack Segal |
| Autore | Dydak Jerzy |
| Edizione | [1st ed. 1978.] |
| Pubbl/distr/stampa | Berlin, Germany : , : Springer-Verlag, , [1978] |
| Descrizione fisica | 1 online resource (VIII, 156 p.) |
| Disciplina | 515.9 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Mappings (Mathematics)
Polyhedra Retracts, Theory of |
| ISBN | 3-540-35684-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preliminaries -- The shape category -- General properties of the shape category and the shape functor -- Shape invariants -- Algebraic properties associated with shape theory -- Pointed 1-movability -- Whitehead and hurewicz theorems in shape theory -- Characterizations and properties of pointed ANSR’s -- Cell-like maps -- Some open problems. |
| Record Nr. | UNISA-996466762303316 |
Dydak Jerzy
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| Berlin, Germany : , : Springer-Verlag, , [1978] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Similarity problems and completely bounded maps / Gilles Pisier
| Similarity problems and completely bounded maps / Gilles Pisier |
| Autore | Pisier, Gilles |
| Edizione | [2nd expanded ed] |
| Pubbl/distr/stampa | New York : Springer, 2001 |
| Descrizione fisica | vi, 198 p. ; 24 cm. |
| Disciplina | 512.55 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1618 |
| Soggetto topico |
C*-algebras
Linear operators Mappings (Mathematics) Representations of groups |
| ISBN | 3540415246 |
| Classificazione |
AMS 43A65
AMS 46L03 AMS 47A05 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001344419707536 |
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Pisier, Gilles
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| New York : Springer, 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Simultaneous localization and mapping [[electronic resource] ] : exactly sparse information filters / / Zhan Wang, Shoudong Huang, Gamini Dissanayake
| Simultaneous localization and mapping [[electronic resource] ] : exactly sparse information filters / / Zhan Wang, Shoudong Huang, Gamini Dissanayake |
| Autore | Wang Zhan |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2011 |
| Descrizione fisica | 1 online resource (208 p.) |
| Disciplina | 629.892637 |
| Altri autori (Persone) |
HuangShoudong <1969->
DissanayakeGamini |
| Collana | New frontiers in robotics |
| Soggetto topico |
Mobile robots
Robots - Control systems Sparse matrices Robotics Mappings (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-43379-6
9786613433794 981-4350-32-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; Acknowledgments; Chapter 1 Introduction; 1.1 The SLAM Problem and Its Applications; 1.1.1 Description of the SLAM Problem; 1.1.2 Applications of SLAM; 1.2 Summary of SLAM Approaches; 1.2.1 EKF/EIF based SLAM Approaches; 1.2.2 Other SLAM Approaches; 1.3 Key Properties of SLAM; 1.3.1 Observability; 1.3.2 EKF SLAM Convergence; 1.3.3 EKF SLAM Consistency; 1.4 Motivation; 1.5 Book Overview; Chapter 2 Sparse Information Filters in SLAM; 2.1 Information Matrix in the Full SLAM Formulation; 2.2 Information Matrix in the Conventional EIF SLAM Formulation
2.3 Meaning of Zero Off-diagonal Elements in Information Matrix2.4 Conditions for Achieving Exact Sparseness; 2.5 Strategies for Achieving Exact Sparseness; 2.5.1 Decoupling Localization and Mapping; 2.5.2 Using Local Submaps; 2.5.3 Combining Decoupling and Submaps; 2.6 Important Practical Issues in EIF SLAM; 2.7 Summary; Chapter 3 Decoupling Localization and Mapping; 3.1 The D-SLAM Algorithm; 3.1.1 Extracting Map Information from Observations; 3.1.2 Key Idea of D-SLAM; 3.1.3 Mapping; 3.1.4 Localization; 3.2 Structure of the Information Matrix in D-SLAM 3.3 Efficient State and Covariance Recovery3.3.1 Recovery Using the Preconditioned Conjugated Gradient (PCG) Method; 3.3.2 Recovery Using Complete Cholesky Factorization; 3.4 Implementation Issues; 3.4.1 Admissible Measurements; 3.4.2 Data Association; 3.5 Computer Simulations; 3.6 Experimental Evaluation; 3.6.1 Experiment in a Small Environment; 3.6.2 Experiment Using the Victoria Park Dataset; 3.7 Computational Complexity; 3.7.1 Storage; 3.7.2 Localization; 3.7.3 Mapping; 3.7.4 State and Covariance Recovery; 3.8 Consistency of D-SLAM; 3.9 Bibliographical Remarks; 3.10 Summary Chapter 4 D-SLAM Local Map Joining Filter4.1 Structure of D-SLAM Local Map Joining Filter; 4.1.1 State Vectors; 4.1.2 Relative Information Relating Feature Locations; 4.1.3 Combining Local Maps Using Relative Information; 4.2 Obtaining Relative Location Information in Local Maps; 4.2.1 Generating a Local Map; 4.2.2 Obtaining Relative Location Information in the Local Map; 4.3 Global Map Update; 4.3.1 Measurement Model; 4.3.2 Updating the Global Map; 4.3.3 Sparse Information Matrix; 4.4 Implementation Issues; 4.4.1 Robot Localization; 4.4.2 Data Association; 4.4.3 State and Covariance Recovery 4.4.4 When to Start a New Local Map4.5 Computational Complexity; 4.5.1 Storage; 4.5.2 Local Map Construction; 4.5.3 Global Map Update; 4.5.4 Rescheduling the Computational Effort; 4.6 Computer Simulations; 4.6.1 Simulation in a Small Area; 4.6.2 Simulation in a Large Area; 4.7 Experimental Evaluation; 4.8 Bibliographical Remarks; 4.9 Summary; Chapter 5 Sparse Local Submap Joining Filter; 5.1 Structure of Sparse Local Submap Joining Filter; 5.1.1 Input to SLSJF - Local Maps; 5.1.2 Output of SLSJF - One Global Map; 5.2 Fusing Local Maps into the Global Map 5.2.1 Adding XG(k+1)s into the Global Map |
| Record Nr. | UNINA-9910464543603321 |
|
Wang Zhan
|
||
| Singapore ; ; Hackensack, N.J., : World Scientific, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Simultaneous localization and mapping [[electronic resource] ] : exactly sparse information filters / / Zhan Wang, Shoudong Huang, Gamini Dissanayake
| Simultaneous localization and mapping [[electronic resource] ] : exactly sparse information filters / / Zhan Wang, Shoudong Huang, Gamini Dissanayake |
| Autore | Wang Zhan |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2011 |
| Descrizione fisica | 1 online resource (208 p.) |
| Disciplina | 629.892637 |
| Altri autori (Persone) |
HuangShoudong <1969->
DissanayakeGamini |
| Collana | New frontiers in robotics |
| Soggetto topico |
Mobile robots
Robots - Control systems Sparse matrices Robotics Mappings (Mathematics) |
| ISBN |
1-283-43379-6
9786613433794 981-4350-32-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; Acknowledgments; Chapter 1 Introduction; 1.1 The SLAM Problem and Its Applications; 1.1.1 Description of the SLAM Problem; 1.1.2 Applications of SLAM; 1.2 Summary of SLAM Approaches; 1.2.1 EKF/EIF based SLAM Approaches; 1.2.2 Other SLAM Approaches; 1.3 Key Properties of SLAM; 1.3.1 Observability; 1.3.2 EKF SLAM Convergence; 1.3.3 EKF SLAM Consistency; 1.4 Motivation; 1.5 Book Overview; Chapter 2 Sparse Information Filters in SLAM; 2.1 Information Matrix in the Full SLAM Formulation; 2.2 Information Matrix in the Conventional EIF SLAM Formulation
2.3 Meaning of Zero Off-diagonal Elements in Information Matrix2.4 Conditions for Achieving Exact Sparseness; 2.5 Strategies for Achieving Exact Sparseness; 2.5.1 Decoupling Localization and Mapping; 2.5.2 Using Local Submaps; 2.5.3 Combining Decoupling and Submaps; 2.6 Important Practical Issues in EIF SLAM; 2.7 Summary; Chapter 3 Decoupling Localization and Mapping; 3.1 The D-SLAM Algorithm; 3.1.1 Extracting Map Information from Observations; 3.1.2 Key Idea of D-SLAM; 3.1.3 Mapping; 3.1.4 Localization; 3.2 Structure of the Information Matrix in D-SLAM 3.3 Efficient State and Covariance Recovery3.3.1 Recovery Using the Preconditioned Conjugated Gradient (PCG) Method; 3.3.2 Recovery Using Complete Cholesky Factorization; 3.4 Implementation Issues; 3.4.1 Admissible Measurements; 3.4.2 Data Association; 3.5 Computer Simulations; 3.6 Experimental Evaluation; 3.6.1 Experiment in a Small Environment; 3.6.2 Experiment Using the Victoria Park Dataset; 3.7 Computational Complexity; 3.7.1 Storage; 3.7.2 Localization; 3.7.3 Mapping; 3.7.4 State and Covariance Recovery; 3.8 Consistency of D-SLAM; 3.9 Bibliographical Remarks; 3.10 Summary Chapter 4 D-SLAM Local Map Joining Filter4.1 Structure of D-SLAM Local Map Joining Filter; 4.1.1 State Vectors; 4.1.2 Relative Information Relating Feature Locations; 4.1.3 Combining Local Maps Using Relative Information; 4.2 Obtaining Relative Location Information in Local Maps; 4.2.1 Generating a Local Map; 4.2.2 Obtaining Relative Location Information in the Local Map; 4.3 Global Map Update; 4.3.1 Measurement Model; 4.3.2 Updating the Global Map; 4.3.3 Sparse Information Matrix; 4.4 Implementation Issues; 4.4.1 Robot Localization; 4.4.2 Data Association; 4.4.3 State and Covariance Recovery 4.4.4 When to Start a New Local Map4.5 Computational Complexity; 4.5.1 Storage; 4.5.2 Local Map Construction; 4.5.3 Global Map Update; 4.5.4 Rescheduling the Computational Effort; 4.6 Computer Simulations; 4.6.1 Simulation in a Small Area; 4.6.2 Simulation in a Large Area; 4.7 Experimental Evaluation; 4.8 Bibliographical Remarks; 4.9 Summary; Chapter 5 Sparse Local Submap Joining Filter; 5.1 Structure of Sparse Local Submap Joining Filter; 5.1.1 Input to SLSJF - Local Maps; 5.1.2 Output of SLSJF - One Global Map; 5.2 Fusing Local Maps into the Global Map 5.2.1 Adding XG(k+1)s into the Global Map |
| Record Nr. | UNINA-9910788963203321 |
|
Wang Zhan
|
||
| Singapore ; ; Hackensack, N.J., : World Scientific, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Simultaneous localization and mapping : exactly sparse information filters / / Zhan Wang, Shoudong Huang, Gamini Dissanayake
| Simultaneous localization and mapping : exactly sparse information filters / / Zhan Wang, Shoudong Huang, Gamini Dissanayake |
| Autore | Wang Zhan |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2011 |
| Descrizione fisica | 1 online resource (208 p.) |
| Disciplina | 629.892637 |
| Altri autori (Persone) |
HuangShoudong <1969->
DissanayakeGamini |
| Collana | New frontiers in robotics |
| Soggetto topico |
Mobile robots
Robots - Control systems Sparse matrices Robotics Mappings (Mathematics) |
| ISBN |
1-283-43379-6
9786613433794 981-4350-32-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; Acknowledgments; Chapter 1 Introduction; 1.1 The SLAM Problem and Its Applications; 1.1.1 Description of the SLAM Problem; 1.1.2 Applications of SLAM; 1.2 Summary of SLAM Approaches; 1.2.1 EKF/EIF based SLAM Approaches; 1.2.2 Other SLAM Approaches; 1.3 Key Properties of SLAM; 1.3.1 Observability; 1.3.2 EKF SLAM Convergence; 1.3.3 EKF SLAM Consistency; 1.4 Motivation; 1.5 Book Overview; Chapter 2 Sparse Information Filters in SLAM; 2.1 Information Matrix in the Full SLAM Formulation; 2.2 Information Matrix in the Conventional EIF SLAM Formulation
2.3 Meaning of Zero Off-diagonal Elements in Information Matrix2.4 Conditions for Achieving Exact Sparseness; 2.5 Strategies for Achieving Exact Sparseness; 2.5.1 Decoupling Localization and Mapping; 2.5.2 Using Local Submaps; 2.5.3 Combining Decoupling and Submaps; 2.6 Important Practical Issues in EIF SLAM; 2.7 Summary; Chapter 3 Decoupling Localization and Mapping; 3.1 The D-SLAM Algorithm; 3.1.1 Extracting Map Information from Observations; 3.1.2 Key Idea of D-SLAM; 3.1.3 Mapping; 3.1.4 Localization; 3.2 Structure of the Information Matrix in D-SLAM 3.3 Efficient State and Covariance Recovery3.3.1 Recovery Using the Preconditioned Conjugated Gradient (PCG) Method; 3.3.2 Recovery Using Complete Cholesky Factorization; 3.4 Implementation Issues; 3.4.1 Admissible Measurements; 3.4.2 Data Association; 3.5 Computer Simulations; 3.6 Experimental Evaluation; 3.6.1 Experiment in a Small Environment; 3.6.2 Experiment Using the Victoria Park Dataset; 3.7 Computational Complexity; 3.7.1 Storage; 3.7.2 Localization; 3.7.3 Mapping; 3.7.4 State and Covariance Recovery; 3.8 Consistency of D-SLAM; 3.9 Bibliographical Remarks; 3.10 Summary Chapter 4 D-SLAM Local Map Joining Filter4.1 Structure of D-SLAM Local Map Joining Filter; 4.1.1 State Vectors; 4.1.2 Relative Information Relating Feature Locations; 4.1.3 Combining Local Maps Using Relative Information; 4.2 Obtaining Relative Location Information in Local Maps; 4.2.1 Generating a Local Map; 4.2.2 Obtaining Relative Location Information in the Local Map; 4.3 Global Map Update; 4.3.1 Measurement Model; 4.3.2 Updating the Global Map; 4.3.3 Sparse Information Matrix; 4.4 Implementation Issues; 4.4.1 Robot Localization; 4.4.2 Data Association; 4.4.3 State and Covariance Recovery 4.4.4 When to Start a New Local Map4.5 Computational Complexity; 4.5.1 Storage; 4.5.2 Local Map Construction; 4.5.3 Global Map Update; 4.5.4 Rescheduling the Computational Effort; 4.6 Computer Simulations; 4.6.1 Simulation in a Small Area; 4.6.2 Simulation in a Large Area; 4.7 Experimental Evaluation; 4.8 Bibliographical Remarks; 4.9 Summary; Chapter 5 Sparse Local Submap Joining Filter; 5.1 Structure of Sparse Local Submap Joining Filter; 5.1.1 Input to SLSJF - Local Maps; 5.1.2 Output of SLSJF - One Global Map; 5.2 Fusing Local Maps into the Global Map 5.2.1 Adding XG(k+1)s into the Global Map |
| Record Nr. | UNINA-9910827254403321 |
|
Wang Zhan
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| Singapore ; ; Hackensack, N.J., : World Scientific, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spaces of PL manifolds and categories of simple maps [[electronic resource] /] / Friedhelm Waldhausen, Bjørn Jahren and John Rognes
| Spaces of PL manifolds and categories of simple maps [[electronic resource] /] / Friedhelm Waldhausen, Bjørn Jahren and John Rognes |
| Autore | Waldhausen Friedhelm <1938-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2013 |
| Descrizione fisica | 1 online resource (193 p.) |
| Disciplina | 514/.22 |
| Altri autori (Persone) |
JahrenBjørn <1945->
RognesJohn |
| Collana |
Annals of Mathematics Studies
Annals of mathematics studies |
| Soggetto topico |
Piecewise linear topology
Mappings (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-4008-4652-8
1-299-05144-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Introduction -- 1. The stable parametrized h-cobordism theorem -- 2. On simple maps -- 3. The non-manifold part -- 4. The manifold part -- Bibliography -- Symbols -- Index |
| Record Nr. | UNINA-9910453158003321 |
|
Waldhausen Friedhelm <1938->
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| Princeton, : Princeton University Press, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spaces of PL manifolds and categories of simple maps [[electronic resource] /] / Friedhelm Waldhausen, Bjørn Jahren and John Rognes
| Spaces of PL manifolds and categories of simple maps [[electronic resource] /] / Friedhelm Waldhausen, Bjørn Jahren and John Rognes |
| Autore | Waldhausen Friedhelm <1938-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2013 |
| Descrizione fisica | 1 online resource (193 p.) |
| Disciplina | 514/.22 |
| Altri autori (Persone) |
JahrenBjørn <1945->
RognesJohn |
| Collana |
Annals of Mathematics Studies
Annals of mathematics studies |
| Soggetto topico |
Piecewise linear topology
Mappings (Mathematics) |
| Soggetto non controllato |
CAT Whitehead space
CAT manifold Euclidean neighborhood retract Euclidean polyhedra PL Serre fibration PL Whitehead space PL homeomorphism PL manifold Quillen's Theorem A. Quillen's Theorem B. absolute neighborhood retract algebraic K-theory of spaces algebraic K-theory approximate lifting property cofibration degeneracy operator desingularization finite simplicial set h-cobordism theorem homotopy equivalence homotopy fiber sequence horn manifold space manifold n-manifolds normal subdivision polyhedral realization q-simplex reduced mapping cylinder simple map simplicial set space stabilization map stable parametrized h-cobordism theorem tangent microbundle thickening triangulation weak homotopy equivalence Čech homotopy type |
| ISBN |
1-4008-4652-8
1-299-05144-8 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Introduction -- 1. The stable parametrized h-cobordism theorem -- 2. On simple maps -- 3. The non-manifold part -- 4. The manifold part -- Bibliography -- Symbols -- Index |
| Record Nr. | UNINA-9910779468903321 |
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Waldhausen Friedhelm <1938->
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| Princeton, : Princeton University Press, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spaces of PL manifolds and categories of simple maps / / Friedhelm Waldhausen, Bjørn Jahren and John Rognes
| Spaces of PL manifolds and categories of simple maps / / Friedhelm Waldhausen, Bjørn Jahren and John Rognes |
| Autore | Waldhausen Friedhelm <1938-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2013 |
| Descrizione fisica | 1 online resource (193 p.) |
| Disciplina | 514/.22 |
| Altri autori (Persone) |
JahrenBjørn <1945->
RognesJohn |
| Collana |
Annals of Mathematics Studies
Annals of mathematics studies |
| Soggetto topico |
Piecewise linear topology
Mappings (Mathematics) |
| Soggetto non controllato |
CAT Whitehead space
CAT manifold Euclidean neighborhood retract Euclidean polyhedra PL Serre fibration PL Whitehead space PL homeomorphism PL manifold Quillen's Theorem A. Quillen's Theorem B. absolute neighborhood retract algebraic K-theory of spaces algebraic K-theory approximate lifting property cofibration degeneracy operator desingularization finite simplicial set h-cobordism theorem homotopy equivalence homotopy fiber sequence horn manifold space manifold n-manifolds normal subdivision polyhedral realization q-simplex reduced mapping cylinder simple map simplicial set space stabilization map stable parametrized h-cobordism theorem tangent microbundle thickening triangulation weak homotopy equivalence Čech homotopy type |
| ISBN |
1-4008-4652-8
1-299-05144-8 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Introduction -- 1. The stable parametrized h-cobordism theorem -- 2. On simple maps -- 3. The non-manifold part -- 4. The manifold part -- Bibliography -- Symbols -- Index |
| Record Nr. | UNINA-9910813541203321 |
|
Waldhausen Friedhelm <1938->
|
||
| Princeton, : Princeton University Press, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Symplectic twist maps [[electronic resource] ] : global variational techniques / / Christophe Golé
| Symplectic twist maps [[electronic resource] ] : global variational techniques / / Christophe Golé |
| Autore | Golé Christophe |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (324 p.) |
| Disciplina | 514.74 |
| Collana | Advanced series in nonlinear dynamics |
| Soggetto topico |
Twist mappings (Mathematics)
Mappings (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-95639-2
9786611956394 981-281-076-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Content ; Foreword ; 0 Introduction ; 1 Fall from Paradise ; 2 Billiards and Broken Geodesies ; 3 An Ancestor of Symplectic Topology ; 1 Twist Maps of the Annulus ; 4 Monotone Twist Maps of the Annulus ; 5 Generating Functions and Variational Setting ; 6 Examples
7 The Poincare-Birkhoff Theorem 2 The Aubry-Mather Theorem ; 8 Introduction ; 9 Cyclically Ordered Sequences And Orbits ; 10 Minimizing Orbits ; 11 CO Orbits Of All Rotation Numbers ; 12 Aubry-Mather Sets ; 3 Ghost Circles ; 13 Appendix: Cyclically Ordered Sequences and Circle Maps 14 Gradient Flow of the Action 15 The Gradient Flow and the Aubry-Mather Theorem ; 16 Ghost Circles ; 17 Construction of Ghost Circles ; 18 Construction of Disjoint Ghost Circles ; 19 Proof of Lemma 18.5 ; 20 Proof of Theorem 18.1 ; 21* Remarks and Applications 22 Proofs of Monotonicity and of the Sturmian Lemma 4 Symplectic Twist Maps ; 23 Symplectic Twist Maps of Tn x Rn ; 24 Examples ; 25 More on Generating Functions ; 26 Symplectic Twist Maps on General Cotangent Bundles of Compact Manifolds 5 Periodic Orbits for Symplectic Twist Maps of T*Tn 27 Presentation Of The Results ; 28 Finite Dimensional Variational Setting ; 29 Second Variation and Nondegenerate Periodic Orbits ; 30 The Coercive Case ; 31 Asymptotically Linear Systems ; 32 Ghost Tori 33 Hyperbolicity Vs. Action Minimizers |
| Record Nr. | UNINA-9910453547503321 |
|
Golé Christophe
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Symplectic twist maps [[electronic resource] ] : global variational techniques / / Christophe Golé
| Symplectic twist maps [[electronic resource] ] : global variational techniques / / Christophe Golé |
| Autore | Golé Christophe |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (324 p.) |
| Disciplina | 514.74 |
| Collana | Advanced series in nonlinear dynamics |
| Soggetto topico |
Twist mappings (Mathematics)
Mappings (Mathematics) |
| ISBN |
1-281-95639-2
9786611956394 981-281-076-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Content ; Foreword ; 0 Introduction ; 1 Fall from Paradise ; 2 Billiards and Broken Geodesies ; 3 An Ancestor of Symplectic Topology ; 1 Twist Maps of the Annulus ; 4 Monotone Twist Maps of the Annulus ; 5 Generating Functions and Variational Setting ; 6 Examples
7 The Poincare-Birkhoff Theorem 2 The Aubry-Mather Theorem ; 8 Introduction ; 9 Cyclically Ordered Sequences And Orbits ; 10 Minimizing Orbits ; 11 CO Orbits Of All Rotation Numbers ; 12 Aubry-Mather Sets ; 3 Ghost Circles ; 13 Appendix: Cyclically Ordered Sequences and Circle Maps 14 Gradient Flow of the Action 15 The Gradient Flow and the Aubry-Mather Theorem ; 16 Ghost Circles ; 17 Construction of Ghost Circles ; 18 Construction of Disjoint Ghost Circles ; 19 Proof of Lemma 18.5 ; 20 Proof of Theorem 18.1 ; 21* Remarks and Applications 22 Proofs of Monotonicity and of the Sturmian Lemma 4 Symplectic Twist Maps ; 23 Symplectic Twist Maps of Tn x Rn ; 24 Examples ; 25 More on Generating Functions ; 26 Symplectic Twist Maps on General Cotangent Bundles of Compact Manifolds 5 Periodic Orbits for Symplectic Twist Maps of T*Tn 27 Presentation Of The Results ; 28 Finite Dimensional Variational Setting ; 29 Second Variation and Nondegenerate Periodic Orbits ; 30 The Coercive Case ; 31 Asymptotically Linear Systems ; 32 Ghost Tori 33 Hyperbolicity Vs. Action Minimizers |
| Record Nr. | UNINA-9910782274103321 |
|
Golé Christophe
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
