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Título: Creation Of Strange Non-Chaotic Attractors In Non-Smooth Saddle-Node Bifurcation | |
| Autor: Jager Tobias H | Precio: $836.00 | |
| Editorial: American Mathematical Society | Año: 2009 | |
| Tema: Matematicas, Textos, Teorias | Edición: 1ª | |
| Sinopsis | ISBN: 9780821844274 | |
| The author proposes a general mechanism by which strange non-chaotic attractors (SNA) are created during the collision of invariant curves in quasiperiodically forced systems. This mechanism, and its implementation in different models, is first discussed on an heuristic level and by means of simulations. In the considered examples, a stable and an unstable invariant circle undergo a saddle-node bifurcation, but instead of a neutral invariant curve there exists a strange non-chaotic attractor-repeller pair at the bifurcation point. This process is accompanied by a very characteristic behaviour of the invariant curves prior to their collision, which the author calls `exponential evolution of peaks'.
Table of Contents Introduction Statement of the main results and applications Saddle-node bifurcations and sink-source-orbits The strategy for the construction of the sink-source-orbits Tools for the construction Construction of the sink-source orbits: One-sided forcing Construction of the sink-source-orbits: Symmetric forcing Bibliography |
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