Three-Dimensional Flows

• Main Authors: Araújo, Vítor (Author), Pacifico, Maria José (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 53
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Physics.; Dynamical Systems and Ergodic Theory.; Ordinary Differential Equations.; Theoretical, Mathematical and Computational Physics.

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Table of Contents:

• Preliminary Definitions and Results
• Singular Cycles and Robust Singular Attractors
• Robustness on the Whole Ambient Space
• Robust Transitivity and Singular-Hyperbolicity
• Singular-Hyperbolicity and Robustness
• Expansiveness and Physical Measure
• Singular-Hyperbolicity and Volume
• Global Dynamics of Generic 3-Flows
• Related Results and Recent Developments.