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Bifurcations of planar vector fields : nilpotent singularities and Abelian integrals / / Freddy Dumortier [and three others]
| Bifurcations of planar vector fields : nilpotent singularities and Abelian integrals / / Freddy Dumortier [and three others] |
| Autore | Dumortier Freddy |
| Edizione | [1st ed. 1991.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1991] |
| Descrizione fisica | 1 online resource (VIII, 232 p.) |
| Disciplina | 515.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential equations - Numerical solutions
Bifurcation theory |
| ISBN | 3-540-38433-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Definitions and notations -- Transformation into normal form -- Bifurcations of codimension 1 and 2 -- Elementary properties -- The central rescaling -- Conclusions and discussion of remaining problems -- Abelian integrals in unfoldings of codimension 3 singular planar vector fields. |
| Record Nr. | UNISA-996466757903316 |
Dumortier Freddy
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| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1991] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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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 |
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Dumortier Freddy
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| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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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 |
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Dumortier Freddy
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| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Dumortier Freddy
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| Heidelberg ; ; Berlin ; ; New York : , : Springer-Verlag, , [1981] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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