Buch, Englisch, Band 1658, 194 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 330 g
Reihe: Lecture Notes in Mathematics
Buch, Englisch, Band 1658, 194 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 330 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-62731-9
Verlag: Springer Berlin Heidelberg
Although chaotic behaviour had often been observed numerically earlier, the first mathematical proof of the existence, with positive probability (persistence) of strange attractors was given by Benedicks and Carleson for the Henon family, at the beginning of 1990's. Later, Mora and Viana demonstrated that a strange attractor is also persistent in generic one-parameter families of diffeomorphims on a surface which unfolds homoclinic tangency. This book is about the persistence of any number of strange attractors in saddle-focus connections. The coexistence and persistence of any number of strange attractors in a simple three-dimensional scenario are proved, as well as the fact that infinitely many of them exist simultaneously.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
- Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
Weitere Infos & Material
Saddle-focus connections.- The unimodal family.- Contractive directions.- Critical points of the bidimensional map.- The inductive process.- The binding point.- The binding period.- The exclusion of parameters.
