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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  
Berlin, Germany : , : Springer-Verlag, , [1978]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
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
Pisier, Gilles  
New York : Springer, 2001
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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-9910827254403321
Wang Zhan  
Singapore ; ; Hackensack, N.J., : World Scientific, c2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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->  
Princeton, : Princeton University Press, 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Waldhausen Friedhelm <1938->  
Princeton, : Princeton University Press, 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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-9910813541203321
Waldhausen Friedhelm <1938->  
Princeton, : Princeton University Press, 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui