Canard cycles : from birth to transition / / Peter De Maesschalck, Freddy Dumortier, Robert Roussarie |
Autore | Maesschalck Peter De |
Edizione | [1st ed. 2021.] |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
Descrizione fisica | 1 online resource (XXI, 408 p. 101 illus., 42 illus. in color.) |
Disciplina | 515.392 |
Collana | Ergebnisse der Mathematik und ihrer Grenzgebiete |
Soggetto topico |
Singular perturbations (Mathematics)
Vector fields Bifurcation theory Pertorbacions singulars (Matemàtica) Camps vectorials Teoria de la bifurcació |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-030-79233-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Part I Basic Notions -- 1 Basic Definitions and Notions -- 2 Local Invariants and Normal Forms -- 3 The Slow Vector Field -- 4 Slow-Fast Cycles -- 5 The Slow Divergence Integral -- 6 Breaking Mechanisms -- 7 Overview of Known Results -- Part II Technical Tools -- 8 Blow-Up of Contact Points -- 9 Center Manifolds -- 10 Normal Forms -- 11 Smooth Functions on Admissible Monomials and More -- 12 Local Transition Maps -- Part III Results and Open Problems -- 13 Ordinary Canard Cycles -- 14 Transitory Canard Cycles with Slow-Fast Passage Through a Jump Point -- 15 Transitory Canard Cycles with Fast-Fast Passage Through a Jump Point -- 16 Outlook and Open Problems -- Index -- References. |
Record Nr. | UNINA-9910494560603321 |
Maesschalck Peter De
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Cham, Switzerland : , : Springer, , [2021] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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Canard cycles : from birth to transition / / Peter De Maesschalck, Freddy Dumortier, Robert Roussarie |
Autore | Maesschalck Peter De |
Edizione | [1st ed. 2021.] |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
Descrizione fisica | 1 online resource (XXI, 408 p. 101 illus., 42 illus. in color.) |
Disciplina | 515.392 |
Collana | Ergebnisse der Mathematik und ihrer Grenzgebiete |
Soggetto topico |
Singular perturbations (Mathematics)
Vector fields Bifurcation theory Pertorbacions singulars (Matemàtica) Camps vectorials Teoria de la bifurcació |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-030-79233-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Part I Basic Notions -- 1 Basic Definitions and Notions -- 2 Local Invariants and Normal Forms -- 3 The Slow Vector Field -- 4 Slow-Fast Cycles -- 5 The Slow Divergence Integral -- 6 Breaking Mechanisms -- 7 Overview of Known Results -- Part II Technical Tools -- 8 Blow-Up of Contact Points -- 9 Center Manifolds -- 10 Normal Forms -- 11 Smooth Functions on Admissible Monomials and More -- 12 Local Transition Maps -- Part III Results and Open Problems -- 13 Ordinary Canard Cycles -- 14 Transitory Canard Cycles with Slow-Fast Passage Through a Jump Point -- 15 Transitory Canard Cycles with Fast-Fast Passage Through a Jump Point -- 16 Outlook and Open Problems -- Index -- References. |
Record Nr. | UNISA-996466410803316 |
Maesschalck Peter De
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Cham, Switzerland : , : Springer, , [2021] | ||
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Lo trovi qui: Univ. di Salerno | ||
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The Volume of Vector Fields on Riemannian Manifolds : Main Results and Open Problems / / by Olga Gil-Medrano |
Autore | Gil-Medrano Olga |
Edizione | [1st ed. 2023.] |
Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 |
Descrizione fisica | 1 online resource (131 pages) |
Disciplina | 516 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Geometry
Mathematical analysis Geometry, Differential Global analysis (Mathematics) Manifolds (Mathematics) Analysis Differential Geometry Global Analysis and Analysis on Manifolds Camps vectorials Varietats de Riemann |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-031-36857-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Funding Acknowledgements -- Contents -- 1 Introduction -- 2 Minimal Sections of Tensor Bundles -- 2.1 Geometry of the Submanifold Determined by a Section of a Tensor Bundle -- 2.2 Minimal Sections of Tensor Bundles and Sphere Subbundles -- 2.3 First Variation of the Volume of Vector Fields: Minimal Vector Fields -- 2.4 Second Variation of the Volume of Vector Fields -- 2.5 The 2-Dimensional Case -- 2.6 Notes -- 2.6.1 Sections That Are Harmonic Maps -- 2.6.2 Sections That Are Critical Pointsof the Energy Functional -- 2.6.3 Minimal Oriented Distributions -- 3 Minimal Vector Fields of Constant Length on the Odd-Dimensional Spheres -- 3.1 Minimality of the Hopf Vector Fields -- 3.2 Study of the Stability of the Hopf Vector Fields -- 3.3 Stability of the Hopf Vector Fields of Odd-Dimensional Space Forms of Positive Curvature -- 3.4 Notes -- 3.4.1 Spheres and Their Quotients with Berger Metrics -- 3.4.2 The Minimality Condition for Unit Killing Vector Fields -- 3.4.3 Minimality of the Characteristic Vector Field of a Contact Riemannian Manifold -- 3.4.4 Minimal Invariant Vector Fields on Lie Groups and Homogeneous Spaces -- 3.4.5 Examples Related with Complex and Quaternionic Structures -- 4 Vector Fields of Constant Length of Minimum Volume on the Odd-Dimensional Spherical Space Forms -- 4.1 Hopf Vector Fields as Volume Minimisers in the 3-Dimensional Case -- 4.2 Hopf Vector Fields on 3-Dimensional Spheres with the Berger Metrics -- 4.3 Lower Bound of the Volume of Vector Fields of Constant Length -- 4.4 Asymptotic Behaviour of the Volume Functional -- 4.5 Notes -- 4.5.1 Unit Vector Fields on the Two-Dimensional Torus -- 4.5.2 Lower Bound of the Volume of Unit Vector Fields on Hypersurfaces of Rn+1 -- 4.5.3 Almost Hermitian Structures on S6 That Minimise the Volume -- 4.5.4 Minimisers of Functionals Related with the Energy.
5 Vector Fields of Constant Length on Punctured Spheres -- 5.1 The Radial Vector Fields -- 5.2 Parallel Transport Vector Fields -- 5.3 The Main Open Problem -- 5.4 Area Minimising Vector Fields on the 2-Sphere -- 5.5 Notes -- 5.5.1 Radial Vector Fields on Riemannian Manifolds -- 5.5.2 Minimisers of the Volume Among Unit Vector Fields with Singular Points -- References. |
Record Nr. | UNISA-996542671803316 |
Gil-Medrano Olga
![]() |
||
Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 | ||
![]() | ||
Lo trovi qui: Univ. di Salerno | ||
|
The Volume of Vector Fields on Riemannian Manifolds : Main Results and Open Problems / / by Olga Gil-Medrano |
Autore | Gil-Medrano Olga |
Edizione | [1st ed. 2023.] |
Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 |
Descrizione fisica | 1 online resource (131 pages) |
Disciplina | 516 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Geometry
Mathematical analysis Geometry, Differential Global analysis (Mathematics) Manifolds (Mathematics) Analysis Differential Geometry Global Analysis and Analysis on Manifolds Camps vectorials Varietats de Riemann |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-031-36857-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Funding Acknowledgements -- Contents -- 1 Introduction -- 2 Minimal Sections of Tensor Bundles -- 2.1 Geometry of the Submanifold Determined by a Section of a Tensor Bundle -- 2.2 Minimal Sections of Tensor Bundles and Sphere Subbundles -- 2.3 First Variation of the Volume of Vector Fields: Minimal Vector Fields -- 2.4 Second Variation of the Volume of Vector Fields -- 2.5 The 2-Dimensional Case -- 2.6 Notes -- 2.6.1 Sections That Are Harmonic Maps -- 2.6.2 Sections That Are Critical Pointsof the Energy Functional -- 2.6.3 Minimal Oriented Distributions -- 3 Minimal Vector Fields of Constant Length on the Odd-Dimensional Spheres -- 3.1 Minimality of the Hopf Vector Fields -- 3.2 Study of the Stability of the Hopf Vector Fields -- 3.3 Stability of the Hopf Vector Fields of Odd-Dimensional Space Forms of Positive Curvature -- 3.4 Notes -- 3.4.1 Spheres and Their Quotients with Berger Metrics -- 3.4.2 The Minimality Condition for Unit Killing Vector Fields -- 3.4.3 Minimality of the Characteristic Vector Field of a Contact Riemannian Manifold -- 3.4.4 Minimal Invariant Vector Fields on Lie Groups and Homogeneous Spaces -- 3.4.5 Examples Related with Complex and Quaternionic Structures -- 4 Vector Fields of Constant Length of Minimum Volume on the Odd-Dimensional Spherical Space Forms -- 4.1 Hopf Vector Fields as Volume Minimisers in the 3-Dimensional Case -- 4.2 Hopf Vector Fields on 3-Dimensional Spheres with the Berger Metrics -- 4.3 Lower Bound of the Volume of Vector Fields of Constant Length -- 4.4 Asymptotic Behaviour of the Volume Functional -- 4.5 Notes -- 4.5.1 Unit Vector Fields on the Two-Dimensional Torus -- 4.5.2 Lower Bound of the Volume of Unit Vector Fields on Hypersurfaces of Rn+1 -- 4.5.3 Almost Hermitian Structures on S6 That Minimise the Volume -- 4.5.4 Minimisers of Functionals Related with the Energy.
5 Vector Fields of Constant Length on Punctured Spheres -- 5.1 The Radial Vector Fields -- 5.2 Parallel Transport Vector Fields -- 5.3 The Main Open Problem -- 5.4 Area Minimising Vector Fields on the 2-Sphere -- 5.5 Notes -- 5.5.1 Radial Vector Fields on Riemannian Manifolds -- 5.5.2 Minimisers of the Volume Among Unit Vector Fields with Singular Points -- References. |
Record Nr. | UNINA-9910736012303321 |
Gil-Medrano Olga
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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