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Intersection pairings on Conley indices / / Henry L. Kurland
| Intersection pairings on Conley indices / / Henry L. Kurland |
| Autore | Kurland Henry L. <1947-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (199 p.) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Flows (Differentiable dynamical systems)
Topological dynamics Intersection theory |
| ISBN | 1-4704-0150-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Basic Notation and Background Definitions""; ""A. Basic Notation""; ""B. The Conley Index""; ""C. Homology and Cohomology of Conley Indices""; ""D. Sign Conventions for Products in Homology and Cohomology""; ""Chapter 2. TheIntersection Pairings L, L, and [sup(#)]L""; ""A. Pairs of Index Pairs Admissible for the Intersection Pairing""; ""B. The Euclidean Case: the Homology Intersection Number Pairing L""; ""C. The Manifold Case: the Intersection Class and NumberPairings L and [(sup(#)]L""
""Chapter 3. Statement of the Continuation Results and Examples""""A. Invariance of Intersection Numbers under Continuation""; ""B. Continuation of £ over a Path of Isolated Invariant Sets""; ""Chapter 4. Construction of Bilinear Pairings on Conley Indices""; ""A. The Existence of Admissible Pairs of Index Pairs""; ""B. Functorially Produced Pairings on the Conley Indices""; ""C. The Proofs of Theorems 2.4 and 2.11""; ""Chapter 5. Proofs of the Continuation Results""; ""A. Maps between Conley Indices from Paths of Invariant Sets""; ""B. The Proofs of Theorems 3.1, 3.2, 3.3, and 3.7"" ""Chapter 6. Some Basic Computational Tools""""A. Conditions on Singular Cycles for Computing L and [sup(#)]L""; ""B. The Behavior of £ under Orbit Preserving Maps""; ""Chapter 7. L for Normally Hyperbolic Invariant Submanifolds""; ""A. Summary of Results""; ""B. Computational Preliminaries""; ""C. Results Leading to the Proof of Theorem 7.5""; ""D. Results Leading to the Proof of Theorem 7.6""; ""Chapter 8. Products of Intersection Pairings""; ""A. Preliminary Observations and Definitions""; ""B. Conley Indices of Product Invariant Sets""; ""C. A Kunneth Theorem for Conley Indices"" |
| Record Nr. | UNINA-9910788759003321 |
Kurland Henry L. <1947->
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| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Intersection pairings on Conley indices / / Henry L. Kurland
| Intersection pairings on Conley indices / / Henry L. Kurland |
| Autore | Kurland Henry L. <1947-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (199 p.) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Flows (Differentiable dynamical systems)
Topological dynamics Intersection theory |
| ISBN | 1-4704-0150-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Basic Notation and Background Definitions""; ""A. Basic Notation""; ""B. The Conley Index""; ""C. Homology and Cohomology of Conley Indices""; ""D. Sign Conventions for Products in Homology and Cohomology""; ""Chapter 2. TheIntersection Pairings L, L, and [sup(#)]L""; ""A. Pairs of Index Pairs Admissible for the Intersection Pairing""; ""B. The Euclidean Case: the Homology Intersection Number Pairing L""; ""C. The Manifold Case: the Intersection Class and NumberPairings L and [(sup(#)]L""
""Chapter 3. Statement of the Continuation Results and Examples""""A. Invariance of Intersection Numbers under Continuation""; ""B. Continuation of £ over a Path of Isolated Invariant Sets""; ""Chapter 4. Construction of Bilinear Pairings on Conley Indices""; ""A. The Existence of Admissible Pairs of Index Pairs""; ""B. Functorially Produced Pairings on the Conley Indices""; ""C. The Proofs of Theorems 2.4 and 2.11""; ""Chapter 5. Proofs of the Continuation Results""; ""A. Maps between Conley Indices from Paths of Invariant Sets""; ""B. The Proofs of Theorems 3.1, 3.2, 3.3, and 3.7"" ""Chapter 6. Some Basic Computational Tools""""A. Conditions on Singular Cycles for Computing L and [sup(#)]L""; ""B. The Behavior of £ under Orbit Preserving Maps""; ""Chapter 7. L for Normally Hyperbolic Invariant Submanifolds""; ""A. Summary of Results""; ""B. Computational Preliminaries""; ""C. Results Leading to the Proof of Theorem 7.5""; ""D. Results Leading to the Proof of Theorem 7.6""; ""Chapter 8. Products of Intersection Pairings""; ""A. Preliminary Observations and Definitions""; ""B. Conley Indices of Product Invariant Sets""; ""C. A Kunneth Theorem for Conley Indices"" |
| Record Nr. | UNINA-9910818935203321 |
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Kurland Henry L. <1947->
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| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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An introduction to ergodic theory / Peter Walters ; with 8 illustrations
| An introduction to ergodic theory / Peter Walters ; with 8 illustrations |
| Autore | Walters, Peter |
| Pubbl/distr/stampa | New York : Springer-Verlag, c1982 |
| Descrizione fisica | ix, 250 p. ; 24 cm |
| Disciplina | 515.42 |
| Collana | Graduate texts in mathematics, 0072-5285 ; 79 |
| Soggetto topico |
Ergodic theory
Topological dynamics |
| ISBN | 0387905995 |
| Classificazione |
AMS 28D
AMS 47A35 AMS 54H20 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001016069707536 |
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Walters, Peter
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| New York : Springer-Verlag, c1982 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Introduction to topological dynamics / by K. S. Sibirsky ; translated by Leo F. Boron
| Introduction to topological dynamics / by K. S. Sibirsky ; translated by Leo F. Boron |
| Autore | Sibirsky, Konstantin Sergeevich |
| Pubbl/distr/stampa | Leyden : Noordhoff International Publ., c1975 |
| Descrizione fisica | ix, 163 p. ; 23 cm. |
| Disciplina | 514.3 |
| Soggetto topico |
Dynamical systems
Topological dynamics |
| ISBN | 9028601740 |
| Classificazione |
AMS 34C35
QA611.5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001032779707536 |
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Sibirsky, Konstantin Sergeevich
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| Leyden : Noordhoff International Publ., c1975 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Iterates of maps on an interval / Chris Preston
| Iterates of maps on an interval / Chris Preston |
| Autore | Preston, Christopher J. |
| Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, 1983 - 204 p. : ill. ; 25 cm |
| Disciplina | 510 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 999 |
| Soggetto topico |
Functions of real variables
Mappings Topological dynamics |
| ISBN | 3540123229 |
| Classificazione |
AMS 26A18
AMS 54H20 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001047589707536 |
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Preston, Christopher J.
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| Berlin ; New York : Springer-Verlag, 1983 - 204 p. : ill. ; 25 cm | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Lifting properties in skew-product flows with applications to differential equations / / Robert J. Sacker and George R. Sell
| Lifting properties in skew-product flows with applications to differential equations / / Robert J. Sacker and George R. Sell |
| Autore | Sacker Robert J. <1937-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1977] |
| Descrizione fisica | 1 online resource (74 p.) |
| Disciplina | 515/.35 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations
Topological dynamics Lifting theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0104-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Acknowledgements""; ""Abstract""; ""Chapter I. Introduction""; ""Chapter II. Statement of Main Results""; ""Chapter III. Applications to Ordinary Differential Equations""; ""3.1 Definition of Basic Skew-Product Structure""; ""3.2 Compact Invariant Sets""; ""3.3 The Distal Property""; ""3.4 Stability Concepts""; ""3.5 Equations Without Uniqueness""; ""3.6 Scalar Equations""; ""3.7 Triangularization of Linear Equations""; ""Chapter IV. Other Applications""; ""4.1 Retarded Differential Equations""; ""4.2 Kurzweil Equations""; ""4.3 Volterra Equations""
""Chapter V. Proofs of Theorems 1,2 and 3""""Chapter VI. An Example""; ""Chapter VII. Flows on Fibre Bundles""; ""Appendix A. Uniform Spaces""; ""Appendix B. Distal Flows and the Enveloping Semigroups""; ""References"" |
| Record Nr. | UNINA-9910480124203321 |
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Sacker Robert J. <1937->
|
||
| Providence : , : American Mathematical Society, , [1977] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lifting properties in skew-product flows with applications to differential equations / / Robert J. Sacker and George R. Sell
| Lifting properties in skew-product flows with applications to differential equations / / Robert J. Sacker and George R. Sell |
| Autore | Sacker Robert J. <1937-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1977] |
| Descrizione fisica | 1 online resource (74 p.) |
| Disciplina | 515/.35 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations
Topological dynamics Lifting theory |
| ISBN | 1-4704-0104-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Acknowledgements""; ""Abstract""; ""Chapter I. Introduction""; ""Chapter II. Statement of Main Results""; ""Chapter III. Applications to Ordinary Differential Equations""; ""3.1 Definition of Basic Skew-Product Structure""; ""3.2 Compact Invariant Sets""; ""3.3 The Distal Property""; ""3.4 Stability Concepts""; ""3.5 Equations Without Uniqueness""; ""3.6 Scalar Equations""; ""3.7 Triangularization of Linear Equations""; ""Chapter IV. Other Applications""; ""4.1 Retarded Differential Equations""; ""4.2 Kurzweil Equations""; ""4.3 Volterra Equations""
""Chapter V. Proofs of Theorems 1,2 and 3""""Chapter VI. An Example""; ""Chapter VII. Flows on Fibre Bundles""; ""Appendix A. Uniform Spaces""; ""Appendix B. Distal Flows and the Enveloping Semigroups""; ""References"" |
| Record Nr. | UNINA-9910788888103321 |
|
Sacker Robert J. <1937->
|
||
| Providence : , : American Mathematical Society, , [1977] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lifting properties in skew-product flows with applications to differential equations / / Robert J. Sacker and George R. Sell
| Lifting properties in skew-product flows with applications to differential equations / / Robert J. Sacker and George R. Sell |
| Autore | Sacker Robert J. <1937-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1977] |
| Descrizione fisica | 1 online resource (74 p.) |
| Disciplina | 515/.35 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations
Topological dynamics Lifting theory |
| ISBN | 1-4704-0104-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Acknowledgements""; ""Abstract""; ""Chapter I. Introduction""; ""Chapter II. Statement of Main Results""; ""Chapter III. Applications to Ordinary Differential Equations""; ""3.1 Definition of Basic Skew-Product Structure""; ""3.2 Compact Invariant Sets""; ""3.3 The Distal Property""; ""3.4 Stability Concepts""; ""3.5 Equations Without Uniqueness""; ""3.6 Scalar Equations""; ""3.7 Triangularization of Linear Equations""; ""Chapter IV. Other Applications""; ""4.1 Retarded Differential Equations""; ""4.2 Kurzweil Equations""; ""4.3 Volterra Equations""
""Chapter V. Proofs of Theorems 1,2 and 3""""Chapter VI. An Example""; ""Chapter VII. Flows on Fibre Bundles""; ""Appendix A. Uniform Spaces""; ""Appendix B. Distal Flows and the Enveloping Semigroups""; ""References"" |
| Record Nr. | UNINA-9910811601703321 |
|
Sacker Robert J. <1937->
|
||
| Providence : , : American Mathematical Society, , [1977] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Limiting equations for problems involving long range memory / / M. Marcus and Victor Mizel
| Limiting equations for problems involving long range memory / / M. Marcus and Victor Mizel |
| Autore | Marcus M (Moshe), <1937-> |
| Pubbl/distr/stampa | Providence, R.I., USA : , : American Mathematical Socieity, , [1983] |
| Descrizione fisica | 1 online resource (68 p.) |
| Disciplina |
510 s
514/.322 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Topological dynamics
Volterra equations |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0688-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""IV. Condition for Precompactness in H of Positive Translates of an H-operator""""V. Limiting Equations""; ""5.1 Ω-limiting set of a solution""; ""5.2�5.3 Existence for limiting equations defined on the entire line""; ""5.4�5.5 Limiting set and limiting equation for a family of solutions""; ""VI. Generalization to Non-BV Outputs""; ""6.1�6.2 Weakly H-operators""; ""VII. Applications to Hammerstein Hereditary Operators I""; ""7.1�7.4 Hammerstein hereditary operators""; ""7.5�7.6 Proof that Hammerstein hereditary operators belong to H""
""7.7�7.11 Verification that 'regular' Hammerstein hereditary operators are uniform H-operators and their positive translates are precompact in H""""7.12�7.14 Representation theorem for limiting equations of a regular Hammerstein hereditary equation""; ""VIII. Applications to Functional Differential Equations""; ""8.1 Associating an H-operator to an FDE""; ""8.2�8.3 Quasi-uniform H-operators, the class H[sub(a)]""; ""8.4�8.7 Normalized translates, modified limiting sets of solutions""; ""8.8�8.10 Existence of a limiting equation"" ""8.11�8.12 A condition ensuring that limiting equations are also FDE's""""IX. Applications to Hammerstein Hereditary Operators II""; ""9.1�9.2 Hammerstein hereditary operators with nonautonomous kernel""; ""9.3�9.4 Proof that such operators belong to H""; ""9.5�9.6 Conditions for regularity""; ""9.7�9.9 Verification that 'regular' Hammerstein hereditary operators are uniform H-operators and their positive translates are precompact in H""; ""9.10 Representation theorem for limiting equations of a regular Hammerstein hereditary equation""; ""Acknowledgment""; ""Bibliography"" |
| Record Nr. | UNINA-9910480466103321 |
|
Marcus M (Moshe), <1937->
|
||
| Providence, R.I., USA : , : American Mathematical Socieity, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Limiting equations for problems involving long range memory / / M. Marcus and Victor Mizel
| Limiting equations for problems involving long range memory / / M. Marcus and Victor Mizel |
| Autore | Marcus M (Moshe), <1937-> |
| Pubbl/distr/stampa | Providence, R.I., USA : , : American Mathematical Socieity, , [1983] |
| Descrizione fisica | 1 online resource (68 p.) |
| Disciplina |
510 s
514/.322 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Topological dynamics
Volterra equations |
| ISBN | 1-4704-0688-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""IV. Condition for Precompactness in H of Positive Translates of an H-operator""""V. Limiting Equations""; ""5.1 Ω-limiting set of a solution""; ""5.2�5.3 Existence for limiting equations defined on the entire line""; ""5.4�5.5 Limiting set and limiting equation for a family of solutions""; ""VI. Generalization to Non-BV Outputs""; ""6.1�6.2 Weakly H-operators""; ""VII. Applications to Hammerstein Hereditary Operators I""; ""7.1�7.4 Hammerstein hereditary operators""; ""7.5�7.6 Proof that Hammerstein hereditary operators belong to H""
""7.7�7.11 Verification that 'regular' Hammerstein hereditary operators are uniform H-operators and their positive translates are precompact in H""""7.12�7.14 Representation theorem for limiting equations of a regular Hammerstein hereditary equation""; ""VIII. Applications to Functional Differential Equations""; ""8.1 Associating an H-operator to an FDE""; ""8.2�8.3 Quasi-uniform H-operators, the class H[sub(a)]""; ""8.4�8.7 Normalized translates, modified limiting sets of solutions""; ""8.8�8.10 Existence of a limiting equation"" ""8.11�8.12 A condition ensuring that limiting equations are also FDE's""""IX. Applications to Hammerstein Hereditary Operators II""; ""9.1�9.2 Hammerstein hereditary operators with nonautonomous kernel""; ""9.3�9.4 Proof that such operators belong to H""; ""9.5�9.6 Conditions for regularity""; ""9.7�9.9 Verification that 'regular' Hammerstein hereditary operators are uniform H-operators and their positive translates are precompact in H""; ""9.10 Representation theorem for limiting equations of a regular Hammerstein hereditary equation""; ""Acknowledgment""; ""Bibliography"" |
| Record Nr. | UNINA-9910788898603321 |
|
Marcus M (Moshe), <1937->
|
||
| Providence, R.I., USA : , : American Mathematical Socieity, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
