Cargando…
Nonuniform Hyperbolicity : Dynamics of Systems with Nonzero Lyapunov Exponents.
A self-contained, comprehensive account of modern smooth ergodic theory, the mathematical foundation of deterministic chaos.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2007.
|
| Colección: | Encyclopedia of mathematics and its applications.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn850148878 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 130625s2007 enk ob 001 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d OCLCQ |d OCLCO |d DEBSZ |d EUX |d OCLCO |d OCLCQ |d OCLCO |d OCLCF |d YDXCP |d N$T |d CAMBR |d IDEBK |d OCLCQ |d OCLCO |d UAB |d OCLCQ |d OCLCA |d AU@ |d OCLCO |d UKAHL |d OCLCQ |d K6U |d INARC |d LUN |d MM9 |d OCLCQ |d OCLCO |d AUW |d OCLCO |d OCLCQ |d OCLCO | ||
| 015 | |a GBA7A0879 |2 bnb | ||
| 019 | |a 843762787 |a 847526679 |a 1117884342 |a 1150927609 |a 1170070263 |a 1170357709 |a 1171057951 |a 1180915431 | ||
| 020 | |a 9781107095915 | ||
| 020 | |a 1107095913 | ||
| 020 | |a 9781107089563 |q (electronic bk.) | ||
| 020 | |a 1107089565 |q (electronic bk.) | ||
| 020 | |a 9781107326026 |q (electronic bk.) | ||
| 020 | |a 1107326028 |q (electronic bk.) | ||
| 020 | |a 1107104009 |q (e-book) | ||
| 020 | |a 9781107104006 |q (e-book) | ||
| 020 | |z 9780521832588 | ||
| 020 | |z 0521832586 | ||
| 029 | 1 | |a DEBSZ |b 383696453 | |
| 035 | |a (OCoLC)850148878 |z (OCoLC)843762787 |z (OCoLC)847526679 |z (OCoLC)1117884342 |z (OCoLC)1150927609 |z (OCoLC)1170070263 |z (OCoLC)1170357709 |z (OCoLC)1171057951 |z (OCoLC)1180915431 | ||
| 050 | 4 | |a QA871 .B365 2007 | |
| 072 | 7 | |a SCI |x 018000 |2 bisacsh | |
| 082 | 0 | 4 | |a 531.11 |a 531/.11 |
| 084 | |a 31.41 |2 bcl | ||
| 084 | |a 37-02 |a 37D25 |a 37A30 |2 msc | ||
| 084 | |a SK 810 |2 rvk | ||
| 049 | |a UAMI | ||
| 100 | 1 | |a Barreira, Luis. | |
| 245 | 1 | 0 | |a Nonuniform Hyperbolicity : |b Dynamics of Systems with Nonzero Lyapunov Exponents. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2007. | ||
| 300 | |a 1 online resource (528 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Encyclopedia of Mathematics and its Applications ; |v v. 115 | |
| 505 | 0 | |a Cover; Half Title; Series Page; Title; Copyright; Dedication; Contents; Preface; Introduction; Part I Linear Theory; 1 The Concept of Nonuniform Hyperbolicity; 1.1 Motivation; 1.2 Basic Setting; 1.2.1 Exponential Splitting and Nonuniform Hyperbolicity; 1.2.2 Tempered Equivalence; 1.2.3 The Continuous-Time Case; 1.3 Lyapunov Exponents Associated to Sequences of Matrices; 1.3.1 Definition of the Lyapunov Exponent; 1.3.2 Forward and Backward Regularity; 1.3.3 A Criterion of Forward Regularity for Triangular Matrices; 1.3.4 The Lyapunov-Perron Regularity; 1.4 Notes. | |
| 505 | 8 | |a 2 Lyapunov Exponents for Linear Extensions2.1 Cocycles over Dynamical Systems; 2.1.1 Cocycles and Linear Extensions; 2.1.2 Cohomology and Tempered Equivalence; 2.1.3 Examples and Basic Constructions; 2.2 Hyperbolicity of Cocycles; 2.2.1 Hyperbolic Cocycles; 2.2.2 Regular Sets of Hyperbolic Cocycles; 2.2.3 Cocycles over Topological Spaces; 2.3 Lyapunov Exponents for Cocycles; 2.4 Spaces of Cocycles; 3 Regularity of Cocycles; 3.1 The Lyapunov-Perron regularity; 3.2 Lyapunov Exponents and Basic Constructions; 3.3 Lyapunov Exponents and Hyperbolicity; 3.4 The Multiplicative Ergodic Theorem. | |
| 505 | 8 | |a 3.4.1 One-Dimensional Cocycles and Birkhoff's Ergodic Theorem3.4.2 Oseledets' Proof of the Multiplicative Ergodic Theorem; 3.4.3 Lyapunov Exponents and Subadditive Ergodic Theorem; 3.4.4 Raghunathan's Proof of the Multiplicative Ergodic Theorem; 3.5 Tempering Kernels and the Reduction Theorems; 3.5.1 Lyapunov Inner Products; 3.5.2 The Oseledets-Pesin Reduction Theorem; 3.5.3 A Tempering Kernel; 3.5.4 Zimmer's Amenable Reduction; 3.5.5 The Case of Noninvertible Cocycles; 3.6 More results on Lyapunov-Perron regularity; 3.6.1 Higher-Rank Abelian Actions; 3.6.2 The Case of Flows. | |
| 505 | 8 | |a 3.6.3 Nonpositively Curved Spaces3.7 Notes; 4 Methods for Estimating Exponents; 4.1 Cone and Lyapunov Function Techniques; 4.1.1 Lyapunov Functions; 4.1.2 A Criterion for Nonvanishing Lyapunov Exponents; 4.1.3 Invariant Cone Families; 4.2 Cocycles with Values in the Symplectic Group; 4.3 Monotone Operators and Lyapunov Exponents; 4.3.1 The Algebra of Potapov; 4.3.2 Lyapunov Exponents for J-Separated Cocycles; 4.3.3 The Lyapunov Spectrum for Conformally Hamiltonian Systems; 4.4 A Remark on Applications of Cone Techniques; 4.5 Notes; 5 The Derivative Cocycle. | |
| 505 | 8 | |a 5.1 Smooth Dynamical Systems and the Derivative Cocycle5.2 Nonuniformly Hyperbolic Diffeomorphisms; 5.3 Hölder Continuity of Invariant Distributions; 5.4 Lyapunov Exponent and Regularity of the Derivative Cocycle; 5.5 On the Notion of Dynamical Systems with Nonzero Lyapunov Exponents; 5.6 Regular Neighborhoods; 5.7 Cocycles over Smooth Flows; 5.8 Semicontinuity of Lyapunov Exponents; Part II Examples and Foundations of the Nonlinear Theory; 6 Examples of Systems with Hyperbolic Behavior; 6.1 Uniformly Hyperbolic Sets; 6.1.1 Hyperbolic Sets for Maps; 6.1.2 Hyperbolic Sets for Flows. | |
| 500 | |a 6.1.3 Linear Horseshoes. | ||
| 520 | |a A self-contained, comprehensive account of modern smooth ergodic theory, the mathematical foundation of deterministic chaos. | ||
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references (pages 491-500) and index. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Dynamics. | |
| 650 | 0 | |a Lyapunov exponents. | |
| 650 | 0 | |a Lyapunov stability. | |
| 650 | 6 | |a Dynamique. | |
| 650 | 6 | |a Exposants de Liapounov. | |
| 650 | 6 | |a Stabilité au sens de Liapounov. | |
| 650 | 7 | |a SCIENCE |x Mechanics |x Dynamics. |2 bisacsh | |
| 650 | 7 | |a Dynamics |2 fast | |
| 650 | 7 | |a Lyapunov exponents |2 fast | |
| 650 | 7 | |a Lyapunov stability |2 fast | |
| 650 | 7 | |a Dynamisches System |2 gnd | |
| 650 | 7 | |a Hyperbolizität |2 gnd | |
| 650 | 7 | |a Ljapunov-Exponent |2 gnd | |
| 650 | 7 | |a Sistemas dinâmicos. |2 larpcal | |
| 700 | 1 | |a Pesin, Yakov. | |
| 776 | 0 | 8 | |i Print version: |a Barreira, Luis. |t Nonuniform Hyperbolicity : Dynamics of Systems with Nonzero Lyapunov Exponents. |d Cambridge : Cambridge University Press, ©2007 |z 9780521832588 |
| 830 | 0 | |a Encyclopedia of mathematics and its applications. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569370 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH25052495 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37561662 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH26385627 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL1178971 | ||
| 938 | |a EBSCOhost |b EBSC |n 569370 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis25780724 | ||
| 938 | |a Internet Archive |b INAR |n nonuniformhyperb0000barr | ||
| 938 | |a YBP Library Services |b YANK |n 10705757 | ||
| 938 | |a YBP Library Services |b YANK |n 10759676 | ||
| 938 | |a YBP Library Services |b YANK |n 10760955 | ||
| 938 | |a YBP Library Services |b YANK |n 10762340 | ||
| 994 | |a 92 |b IZTAP | ||