Dynamical systems: an introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London [u.a.]
Springer
2013
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (X, 209 S.) graph. Darst. |
| ISBN: | 9781447148340 9781447148357 |
| DOI: | 10.1007/978-1-4471-4835-7 |
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Datensatz im Suchindex
| _version_ | 1804150042380992512 |
|---|---|
| adam_text | DYNAMICAL SYSTEMS
/ BARREIRA, LUIS
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
BASIC NOTIONS AND EXAMPLES
TOPOLOGICAL DYNAMICS
LOW-DIMENSIONAL DYNAMICS
HYPERBOLIC DYNAMICS I
HYPERBOLIC DYNAMICS II
SYMBOLIC DYNAMICS
ERGODIC THEORY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
DYNAMICAL SYSTEMS
/ BARREIRA, LUIS
: 2013
ABSTRACT / INHALTSTEXT
THE THEORY OF DYNAMICAL SYSTEMS IS A BROAD AND ACTIVE RESEARCH SUBJECT
WITH CONNECTIONS TO MOST PARTS OF MATHEMATICS. DYNAMICAL SYSTEMS: AN
INTRODUCTION UNDERTAKES THE DIFFICULT TASK TO PROVIDE A SELF-CONTAINED
AND COMPACT INTRODUCTION. TOPICS COVERED INCLUDE TOPOLOGICAL,
LOW-DIMENSIONAL, HYPERBOLIC AND SYMBOLIC DYNAMICS, AS WELL AS A BRIEF
INTRODUCTION TO ERGODIC THEORY. IN PARTICULAR, THE AUTHORS CONSIDER
TOPOLOGICAL RECURRENCE, TOPOLOGICAL ENTROPY, HOMEOMORPHISMS AND
DIFFEOMORPHISMS OF THE CIRCLE, SHARKOVSKI S ORDERING, THE
POINCARE-BENDIXSON THEORY, AND THE CONSTRUCTION OF STABLE MANIFOLDS, AS
WELL AS AN INTRODUCTION TO GEODESIC FLOWS AND THE STUDY OF HYPERBOLICITY
(THE LATTER IS OFTEN ABSENT IN A FIRST INTRODUCTION). MOREOVER, THE
AUTHORS INTRODUCE THE BASICS OF SYMBOLIC DYNAMICS, THE CONSTRUCTION OF
SYMBOLIC CODINGS, INVARIANT MEASURES, POINCARE S RECURRENCE THEOREM AND
BIRKHOFF S ERGODIC THEOREM. THE EXPOSITION IS MATHEMATICALLY RIGOROUS,
CONCISE AND DIRECT: ALL STATEMENTS (EXCEPT FOR SOME RESULTS FROM OTHER
AREAS) ARE PROVEN. AT THE SAME TIME, THE TEXT ILLUSTRATES THE THEORY
WITH MANY EXAMPLES AND 140 EXERCISES OF VARIABLE LEVELS OF DIFFICULTY.
THE ONLY PREREQUISITES ARE A BACKGROUND IN LINEAR ALGEBRA, ANALYSIS AND
ELEMENTARY TOPOLOGY. THIS IS A TEXTBOOK PRIMARILY DESIGNED FOR A
ONE-SEMESTER OR TWO-SEMESTERS COURSE AT THE ADVANCED UNDERGRADUATE OR
BEGINNING GRADUATE LEVELS. IT CAN ALSO BE USED FOR SELF-STUDY AND AS A
STARTING POINT FOR MORE ADVANCED TOPICS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| subject_GND | (DE-588)4015246-7 (DE-588)4013396-5 |
| title | Dynamical systems an introduction |
| title_auth | Dynamical systems an introduction |
| title_exact_search | Dynamical systems an introduction |
| title_full | Dynamical systems an introduction Luis Barreira ; Claudia Valls |
| title_fullStr | Dynamical systems an introduction Luis Barreira ; Claudia Valls |
| title_full_unstemmed | Dynamical systems an introduction Luis Barreira ; Claudia Valls |
| title_short | Dynamical systems |
| title_sort | dynamical systems an introduction |
| title_sub | an introduction |
| topic | Ergodentheorie (DE-588)4015246-7 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Ergodentheorie Dynamisches System |
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