The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations / / Tobias H. Jäger

• Record Nr.: UNINA9910480395803321
• Autore: Jäger Tobias H.
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2009; ©2009
• ISBN: 1-4704-0559-8
• Descrizione fisica: 1 online resource (120 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 201, Number 945
• Disciplina: 515/.39
• Soggetti: Attractors (Mathematics); Bifurcation theory; Differentiable dynamical systems; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• 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""