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Three-dimensional flows

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Author(s): Vítor Araújo, Maria José Pacifico (auth.)
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 53
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2010

Language: English
Pages: 355
Tags: Dynamical Systems and Ergodic Theory; Ordinary Differential Equations

Front Matter....Pages I-XIX
Introduction....Pages 1-4
Preliminary Definitions and Results....Pages 5-54
Singular Cycles and Robust Singular Attractors....Pages 55-97
Robustness on the Whole Ambient Space....Pages 99-121
Robust Transitivity and Singular-Hyperbolicity....Pages 123-161
Singular-Hyperbolicity and Robustness....Pages 163-202
Expansiveness and Physical Measure....Pages 203-248
Singular-Hyperbolicity and Volume....Pages 249-268
Global Dynamics of Generic 3-Flows....Pages 269-308
Related Results and Recent Developments....Pages 309-323
Back Matter....Pages 325-358