Dimension Theory of Hyperbolic Flows

Nonfiction, Science & Nature, Mathematics, Linear Programming, Mathematical Analysis
Cover of the book Dimension Theory of Hyperbolic Flows by Luís Barreira, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Luís Barreira ISBN: 9783319005485
Publisher: Springer International Publishing Publication: June 12, 2013
Imprint: Springer Language: English
Author: Luís Barreira
ISBN: 9783319005485
Publisher: Springer International Publishing
Publication: June 12, 2013
Imprint: Springer
Language: English

The dimension theory of dynamical systems has progressively developed, especially over the last two decades, into an independent and extremely active field of research. Its main aim is to study the complexity of sets and measures that are invariant under the dynamics. In particular, it is essential to characterizing chaotic strange attractors. To date, some parts of the theory have either only been outlined, because they can be reduced to the case of maps, or are too technical for a wider audience. In this respect, the present monograph is intended to provide a comprehensive guide. Moreover, the text is self-contained and with the exception of some basic results in Chapters 3 and 4, all the results in the book include detailed proofs.
 
The book is intended for researchers and graduate students specializing in dynamical systems who wish to have a sufficiently comprehensive view of the theory together with a working knowledge of its main techniques. The discussion of some open problems is also included in the hope that it may lead to further developments. Ideally, readers should have some familiarity with the basic notions and results of ergodic theory and hyperbolic dynamics at the level of an introductory course in the area, though the initial chapters also review all the necessary material.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The dimension theory of dynamical systems has progressively developed, especially over the last two decades, into an independent and extremely active field of research. Its main aim is to study the complexity of sets and measures that are invariant under the dynamics. In particular, it is essential to characterizing chaotic strange attractors. To date, some parts of the theory have either only been outlined, because they can be reduced to the case of maps, or are too technical for a wider audience. In this respect, the present monograph is intended to provide a comprehensive guide. Moreover, the text is self-contained and with the exception of some basic results in Chapters 3 and 4, all the results in the book include detailed proofs.
 
The book is intended for researchers and graduate students specializing in dynamical systems who wish to have a sufficiently comprehensive view of the theory together with a working knowledge of its main techniques. The discussion of some open problems is also included in the hope that it may lead to further developments. Ideally, readers should have some familiarity with the basic notions and results of ergodic theory and hyperbolic dynamics at the level of an introductory course in the area, though the initial chapters also review all the necessary material.

More books from Springer International Publishing

Cover of the book Access to Primary Care and Preventative Health Services of Migrants by Luís Barreira
Cover of the book Radiation Therapy for Gastrointestinal Cancers by Luís Barreira
Cover of the book Bodies, Love, and Faith in the First World War by Luís Barreira
Cover of the book Boron Isotopes by Luís Barreira
Cover of the book Advances in Gain-Scheduling and Fault Tolerant Control Techniques by Luís Barreira
Cover of the book Morphogenesis and the Crisis of Normativity by Luís Barreira
Cover of the book Standpipe Systems for Fire Protection by Luís Barreira
Cover of the book Landscapes and Landforms of Hungary by Luís Barreira
Cover of the book Heat Shock Protein Inhibitors by Luís Barreira
Cover of the book Discovery Science by Luís Barreira
Cover of the book Intravitreal Steroids by Luís Barreira
Cover of the book Anthropology in the Mining Industry by Luís Barreira
Cover of the book Quantum Variational Calculus by Luís Barreira
Cover of the book Modeling, Simulation and Optimization of Complex Processes - HPSC 2012 by Luís Barreira
Cover of the book Territorial Self-Government as a Conflict Management Tool by Luís Barreira
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy