The Resource Admissibility and Hyperbolicity, by Luís Barreira, Davor Dragičević, Claudia Valls, (electronic book)
Admissibility and Hyperbolicity, by Luís Barreira, Davor Dragičević, Claudia Valls, (electronic book)
Resource Information
The item Admissibility and Hyperbolicity, by Luís Barreira, Davor Dragičević, Claudia Valls, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Admissibility and Hyperbolicity, by Luís Barreira, Davor Dragičević, Claudia Valls, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
- Summary
- This book gives a comprehensive overview of the relationship between admissibility and hyperbolicity. Essential theories and selected developments are discussed with highlights to applications. The dedicated readership includes researchers and graduate students specializing in differential equations and dynamical systems (with emphasis on hyperbolicity) who wish to have a broad view of the topic and working knowledge of its techniques. The book may also be used as a basis for appropriate graduate courses on hyperbolicity; the pointers and references given to further research will be particularly useful. The material is divided into three parts: the core of the theory, recent developments, and applications. The first part pragmatically covers the relation between admissibility and hyperbolicity, starting with the simpler case of exponential contractions. It also considers exponential dichotomies, both for discrete and continuous time, and establishes corresponding results building on the arguments for exponential contractions. The second part considers various extensions of the former results, including a general approach to the construction of admissible spaces and the study of nonuniform exponential behavior. Applications of the theory to the robustness of an exponential dichotomy, the characterization of hyperbolic sets in terms of admissibility, the relation between shadowing and structural stability, and the characterization of hyperbolicity in terms of Lyapunov sequences are given in the final part.
- Language
- eng
- Extent
- 1 online resource (ix, 145 p.)
- Contents
-
- 1. Introduction
- 2. Exponential Contractions
- 3. Exponential Dichotomies: Discrete Time
- 4. Exponential Dichotomies: Continuous Time
- 5. Admissibility: Further Developments
- 6. Applications of Admissibility
- References
- Index
- Isbn
- 9783319901091
- Label
- Admissibility and Hyperbolicity
- Title
- Admissibility and Hyperbolicity
- Statement of responsibility
- by Luís Barreira, Davor Dragičević, Claudia Valls
- Language
- eng
- Summary
- This book gives a comprehensive overview of the relationship between admissibility and hyperbolicity. Essential theories and selected developments are discussed with highlights to applications. The dedicated readership includes researchers and graduate students specializing in differential equations and dynamical systems (with emphasis on hyperbolicity) who wish to have a broad view of the topic and working knowledge of its techniques. The book may also be used as a basis for appropriate graduate courses on hyperbolicity; the pointers and references given to further research will be particularly useful. The material is divided into three parts: the core of the theory, recent developments, and applications. The first part pragmatically covers the relation between admissibility and hyperbolicity, starting with the simpler case of exponential contractions. It also considers exponential dichotomies, both for discrete and continuous time, and establishes corresponding results building on the arguments for exponential contractions. The second part considers various extensions of the former results, including a general approach to the construction of admissible spaces and the study of nonuniform exponential behavior. Applications of the theory to the robustness of an exponential dichotomy, the characterization of hyperbolic sets in terms of admissibility, the relation between shadowing and structural stability, and the characterization of hyperbolicity in terms of Lyapunov sequences are given in the final part.
- Cataloging source
- AZU
- http://library.link/vocab/creatorDate
- 1968-
- http://library.link/vocab/creatorName
- Barreira, Luis
- Dewey number
- 515.42
- Index
- index present
- LC call number
- QA313
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- http://library.link/vocab/relatedWorkOrContributorDate
- 1973-
- http://library.link/vocab/relatedWorkOrContributorName
-
- Dragičević, Davor
- Valls, Claudia
- http://library.link/vocab/subjectName
-
- Mathematics
- Difference equations
- Functional equations
- Dynamics
- Ergodic theory
- Differential equations
- Label
- Admissibility and Hyperbolicity, by Luís Barreira, Davor Dragičević, Claudia Valls, (electronic book)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- 1. Introduction -- 2. Exponential Contractions -- 3. Exponential Dichotomies: Discrete Time -- 4. Exponential Dichotomies: Continuous Time -- 5. Admissibility: Further Developments -- 6. Applications of Admissibility -- References -- Index
- Dimensions
- unknown
- Extent
- 1 online resource (ix, 145 p.)
- File format
- multiple file formats
- Form of item
- online
- Isbn
- 9783319901091
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-3-319-90110-7
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
-
- on1034551609
- (OCoLC)1034551609
- Label
- Admissibility and Hyperbolicity, by Luís Barreira, Davor Dragičević, Claudia Valls, (electronic book)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- 1. Introduction -- 2. Exponential Contractions -- 3. Exponential Dichotomies: Discrete Time -- 4. Exponential Dichotomies: Continuous Time -- 5. Admissibility: Further Developments -- 6. Applications of Admissibility -- References -- Index
- Dimensions
- unknown
- Extent
- 1 online resource (ix, 145 p.)
- File format
- multiple file formats
- Form of item
- online
- Isbn
- 9783319901091
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-3-319-90110-7
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
-
- on1034551609
- (OCoLC)1034551609
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Admissibility-and-Hyperbolicity-by-Lu%C3%ADs/ZS34RnKefHA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Admissibility-and-Hyperbolicity-by-Lu%C3%ADs/ZS34RnKefHA/">Admissibility and Hyperbolicity, by Luís Barreira, Davor Dragičević, Claudia Valls, (electronic book)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>
