Three-Dimensional Flows

• Main Authors: Araj͠o, Vt̕or. (Author), Pacifico, Maria Jos.̌ (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• 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.; Differentiable dynamical systems.; Differential Equations.; Dynamical Systems and Ergodic Theory.; Ordinary Differential Equations.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-11414-4

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Table of Contents:

• 1 Introduction
• 2 Preliminary Definitions and Results
• 3 Robust Singular Attractors
• 4 Robustness on the Whole Ambient Space
• 5 Robust Transitivity
• 6 Singular-Hyperbolicity and Robustness
• 7 Expansiveness and Physical Measure
• 8 Singular-Hyperbolicity and Volume
• 9 Global Dynamics of Generic 3-Flows
• 10 Recent Developments
• A Lyapunov Stability on Generic Vector Fields
• B A Perturbation Lemma for Flows
• C Robustness of Dominated Decomposition
• References
• Index.