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Bifurcations of planar vector fields : proceedings of a meeting held in Luminy, France, Sept. 18-22, 1989 / / edited by J.-P. Françoise, R. Roussarie
| Bifurcations of planar vector fields : proceedings of a meeting held in Luminy, France, Sept. 18-22, 1989 / / edited by J.-P. Françoise, R. Roussarie |
| Edizione | [1st ed. 1990.] |
| Pubbl/distr/stampa | Berlin, Germany : , : Springer, , [1990] |
| Descrizione fisica | 1 online resource (VIII, 400 p.) |
| Disciplina | 515.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Vector fields
Bifurcation theory |
| ISBN | 3-540-46722-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Retard à la bifurcation : du local au global -- On bifurcation of limit cycles from centers -- On the saddle loop bifurcation -- Finitude des cycles-limites et accelero-sommation de l’application de retour -- Limit cycles and zeroes of Abelian integrals satisfying third order picard — Fuchs equations -- On the basin of attraction of dissipative planar vector fields -- Periodic lines of curvature bifurcating from Darbouxian umbilical connections -- Conditions for a centre and the bifurcation of limit cycles in a class of cubic systems -- On first integrals of linear systems, Frobenius integrability theorem and linear representations of Lie algebras -- Cyclicite finie des polycycles hyperboliques de champs de vecteurs du plan mise sous forme normale -- Bifurcation of limit cycles -- Universal unfolding of a singularity of a symmetric vector field with 7-jet C?-equivalent to y ?/?x+(±x3 ±x6y) ?/?y -- Bifurcation in a quartic polynomial system arising in biology -- On the finiteness of certain boundary cycles for NTH degree polynomial vector fields -- Algebraic integrals of quadratic systems with a weak focus -- Rotated vector fields decomposition method and its application -- Remarks on the delay of the loss of stability of systems with changing parameter. |
| Record Nr. | UNISA-996466866503316 |
| Berlin, Germany : , : Springer, , [1990] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Canard cycles : from birth to transition / / Peter De Maesschalck, Freddy Dumortier, Robert Roussarie
| 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] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Canard cycles : from birth to transition / / Peter De Maesschalck, Freddy Dumortier, Robert Roussarie
| 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 |
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Maesschalck Peter De
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||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Canard cycles and center manifolds / / Freddy Dumortier, Robert Roussarie
| Canard cycles and center manifolds / / Freddy Dumortier, Robert Roussarie |
| Autore | Dumortier Freddy |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (117 p.) |
| Disciplina | 515/.352 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Boundary value problems - Asymptotic theory
Perturbation (Mathematics) Bifurcation theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0162-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""3 Foliations by center manifolds""""3.1 Normal forms for X at the non-isolated singular points""; ""3.2 Construction of center manifolds""; ""3.2.1 Center manifolds of type I""; ""3.2.2 Center manifolds of type II""; ""3.2.3 Center manifolds of type III""; ""3.2.4 Pictures of the center manifolds""; ""3.3 Foliations by center manifolds""; ""3.3.1 Foliation of type I""; ""3.3.2 Foliation of type II""; ""3.3.3 Foliations of type III""; ""4 The canard phenomenon""; ""4.1 The small limit periodic set""; ""4.2 Relation between the Abelian integrals and the center manifolds""
""4.3 Explanation of the canard phenomenon by means of center manifolds""""4.3.1 Canard limit periodic sets of type I""; ""4.3.2 Canard limit periodic sets of type III""; ""4.3.3 Canard limit periodic sets of type II""; ""4.3.4 Bringing the foliations together (as a final step)""; ""References""; ""Appendix: on the proof of theorem 18"" |
| Record Nr. | UNINA-9910480683703321 |
|
Dumortier Freddy
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||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Canard cycles and center manifolds / / Freddy Dumortier, Robert Roussarie
| Canard cycles and center manifolds / / Freddy Dumortier, Robert Roussarie |
| Autore | Dumortier Freddy |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (117 p.) |
| Disciplina | 515/.352 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Boundary value problems - Asymptotic theory
Perturbation (Mathematics) Bifurcation theory |
| ISBN | 1-4704-0162-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""3 Foliations by center manifolds""""3.1 Normal forms for X at the non-isolated singular points""; ""3.2 Construction of center manifolds""; ""3.2.1 Center manifolds of type I""; ""3.2.2 Center manifolds of type II""; ""3.2.3 Center manifolds of type III""; ""3.2.4 Pictures of the center manifolds""; ""3.3 Foliations by center manifolds""; ""3.3.1 Foliation of type I""; ""3.3.2 Foliation of type II""; ""3.3.3 Foliations of type III""; ""4 The canard phenomenon""; ""4.1 The small limit periodic set""; ""4.2 Relation between the Abelian integrals and the center manifolds""
""4.3 Explanation of the canard phenomenon by means of center manifolds""""4.3.1 Canard limit periodic sets of type I""; ""4.3.2 Canard limit periodic sets of type III""; ""4.3.3 Canard limit periodic sets of type II""; ""4.3.4 Bringing the foliations together (as a final step)""; ""References""; ""Appendix: on the proof of theorem 18"" |
| Record Nr. | UNINA-9910788760003321 |
|
Dumortier Freddy
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Canard cycles and center manifolds / / Freddy Dumortier, Robert Roussarie
| Canard cycles and center manifolds / / Freddy Dumortier, Robert Roussarie |
| Autore | Dumortier Freddy |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (117 p.) |
| Disciplina | 515/.352 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Boundary value problems - Asymptotic theory
Perturbation (Mathematics) Bifurcation theory |
| ISBN | 1-4704-0162-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""3 Foliations by center manifolds""""3.1 Normal forms for X at the non-isolated singular points""; ""3.2 Construction of center manifolds""; ""3.2.1 Center manifolds of type I""; ""3.2.2 Center manifolds of type II""; ""3.2.3 Center manifolds of type III""; ""3.2.4 Pictures of the center manifolds""; ""3.3 Foliations by center manifolds""; ""3.3.1 Foliation of type I""; ""3.3.2 Foliation of type II""; ""3.3.3 Foliations of type III""; ""4 The canard phenomenon""; ""4.1 The small limit periodic set""; ""4.2 Relation between the Abelian integrals and the center manifolds""
""4.3 Explanation of the canard phenomenon by means of center manifolds""""4.3.1 Canard limit periodic sets of type I""; ""4.3.2 Canard limit periodic sets of type III""; ""4.3.3 Canard limit periodic sets of type II""; ""4.3.4 Bringing the foliations together (as a final step)""; ""References""; ""Appendix: on the proof of theorem 18"" |
| Record Nr. | UNINA-9910829054703321 |
|
Dumortier Freddy
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||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential topology and geometry : proceedings of the colloquium held at Dijon, 17-22 June 1974 / / edited by G. P. Joubert, R. P. Moussu, R. H. Roussarie
| Differential topology and geometry : proceedings of the colloquium held at Dijon, 17-22 June 1974 / / edited by G. P. Joubert, R. P. Moussu, R. H. Roussarie |
| Edizione | [1st ed. 1975.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1975] |
| Descrizione fisica | 1 online resource (XI, 290 p.) |
| Disciplina | 514 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico | Differential topology |
| ISBN | 3-540-37919-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Quelques problemes globaux sur les fonctions de Morse -- Non-singular Extensions of Morse functions -- Stabilite locale des applications equivariantes -- Sur le groupe des diffeomorphismes R-Analytiques du tore -- Sur l’agebre de lie des champs de vecteurs R-Analytiques du tore -- Sur le groupe des diffeomorphismes symplectiques -- Theory of deformation of structures -- Cohomologies et classes caracteristiques des choux de Bruxelles -- Sur la cohomologie de Gelfand-Fuchs -- Actions des groupes de Lie et presque-connexions -- Caracteres Differentiels -- Algebre de Well du groupe lineaire application aux classes caracteristiques d’un feuilletage -- The horizontal lift of a foliation and its exotic classes -- d?—cohomologie du classifiant d’un groupe complexe -- Sur certaines equations de pfaff completement integrables dans le champ complexe, (proprietes du feuilletage associe) -- Quelques proprietes des formes de Pfaff en liaison avec la Co-topologie -- Formes differentielles fermees non singulieres -- Non-bounded leaves in codimension one foliations -- Compact leaves of codimension one foliations -- Compact foliations. |
| Record Nr. | UNISA-996466579703316 |
| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1975] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Germs of diffeomorphisms in the plane / / Freddy Dumortier, Paulo R. Rodrigues, Robert Roussarie
| Germs of diffeomorphisms in the plane / / Freddy Dumortier, Paulo R. Rodrigues, Robert Roussarie |
| Autore | Dumortier Freddy |
| Edizione | [1st ed. 1981.] |
| Pubbl/distr/stampa | Heidelberg ; ; Berlin ; ; New York : , : Springer-Verlag, , [1981] |
| Descrizione fisica | 1 online resource (IV, 197 p.) |
| Disciplina | 515.352 |
| Collana | Lecture notes in mathematics (Springer-Verlag) |
| Soggetto topico |
Differentiable dynamical systems
Germs (Mathematics) Diffeomorphisms |
| ISBN | 3-540-38958-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Summary, some motivation and acknowledgments -- Introduction, definitions, formal study and statement of the results -- Stability of type I-and type II-singularities -- Stability of type III-singularities -- Proof of the C? results -- Proof of the topological results. |
| Record Nr. | UNISA-996466510703316 |
|
Dumortier Freddy
|
||
| Heidelberg ; ; Berlin ; ; New York : , : Springer-Verlag, , [1981] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||