The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations / / Tobias H. Jäger
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| Autore: |
Jäger Tobias H.
|
| Titolo: |
The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations / / Tobias H. Jäger
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| ©2009 | |
| Descrizione fisica: | 1 online resource (120 p.) |
| Disciplina: | 515/.39 |
| Soggetto topico: | Attractors (Mathematics) |
| Bifurcation theory | |
| Differentiable dynamical systems | |
| Soggetto genere / forma: | Electronic books. |
| Note generali: | "Volume 201, Number 945 (fourth of 5 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Contents""; ""Chapter 1. Introduction""; ""1.1. Overview""; ""1.2. Basic definitions and notations""; ""1.3. Examples of non-smooth saddle-node bifurcations""; ""1.4. The mechanism: Exponential evolution of peaks""; ""Chapter 2. Statement of the main results and applications""; ""2.1. A general setting for saddle-node bifurcations in qpf interval maps""; ""2.2. Sink-source-orbits and the existence of SNA""; ""2.3. Non-smooth bifurcations""; ""2.4. Application to the parameter families""; ""Chapter 3. Saddle-node bifurcations and sink-source-orbits"" |
| ""3.1. Equivalence classes of invariant graphs and the essential closure""""3.2. Saddle-node bifurcations: Proof of Theorem 2.1""; ""3.3. Sink-source-orbits and SNA: Proof of Theorem 2.4""; ""Chapter 4. The strategy for the construction of the sink-source-orbits""; ""4.1. The first stage of the construction""; ""4.2. Dealing with the first close return""; ""4.3. Admissible and regular times""; ""4.4. Outline of the further strategy""; ""Chapter 5. Tools for the construction""; ""5.1. Comparing orbits""; ""5.2. Approximating sets""; ""5.3. Exceptional intervals and admissible times"" | |
| ""5.4. Regular times""""Chapter 6. Construction of the sink-source orbits: One-sided forcing""; ""6.1. Proof of the induction scheme""; ""Chapter 7. Construction of the sink-source-orbits: Symmetric forcing""; ""7.1. Proof of the induction scheme""; ""Bibliography"" | |
| Titolo autorizzato: | The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations |
| ISBN: | 1-4704-0559-8 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480395803321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 201, Number 945.