Nonuniform hyperbolicity: dynamics of systems with nonzero Lyapunov exponents
Designed to work as a reference and as a supplement to an advanced course on dynamical systems, this book presents a self-contained and comprehensive account of modern smooth ergodic theory. Among other things, this provides a rigorous mathematical foundation for the phenomenon known as deterministi...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Weitere beteiligte Personen: | |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2007
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 115 |
| Links: | https://doi.org/10.1017/CBO9781107326026 |
| Zusammenfassung: | Designed to work as a reference and as a supplement to an advanced course on dynamical systems, this book presents a self-contained and comprehensive account of modern smooth ergodic theory. Among other things, this provides a rigorous mathematical foundation for the phenomenon known as deterministic chaos - the appearance of 'chaotic' motions in pure deterministic dynamical systems. A sufficiently complete description of topological and ergodic properties of systems exhibiting deterministic chaos can be deduced from relatively weak requirements on their local behavior known as nonuniform hyperbolicity conditions. Nonuniform hyperbolicity theory is an important part of the general theory of dynamical systems. Its core is the study of dynamical systems with nonzero Lyapunov exponents both conservative and dissipative, in addition to cocycles and group actions. The results of this theory are widely used in geometry (e.g., geodesic flows and Teichmüller flows), in rigidity theory, in the study of some partial differential equations (e.g., the Schrödinger equation), in the theory of billiards, as well as in applications to physics, biology, engineering, and other fields. |
| Umfang: | 1 Online-Ressource (xiv, 513 Seiten) |
| ISBN: | 9781107326026 |
Internformat
MARC
| LEADER | 00000nam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-20-CTM-CR9781107326026 | ||
| 003 | UkCbUP | ||
| 005 | 20151005020622.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 130129s2007||||enk o ||1 0|eng|d | ||
| 020 | |a 9781107326026 | ||
| 100 | 1 | |a Barreira, Luis |d 1968- | |
| 245 | 1 | 0 | |a Nonuniform hyperbolicity |b dynamics of systems with nonzero Lyapunov exponents |c Luis Barreira, Yakov Pesin |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2007 | |
| 300 | |a 1 Online-Ressource (xiv, 513 Seiten) | ||
| 336 | |b txt | ||
| 337 | |b c | ||
| 338 | |b cr | ||
| 490 | 1 | |a Encyclopedia of mathematics and its applications |v volume 115 | |
| 520 | |a Designed to work as a reference and as a supplement to an advanced course on dynamical systems, this book presents a self-contained and comprehensive account of modern smooth ergodic theory. Among other things, this provides a rigorous mathematical foundation for the phenomenon known as deterministic chaos - the appearance of 'chaotic' motions in pure deterministic dynamical systems. A sufficiently complete description of topological and ergodic properties of systems exhibiting deterministic chaos can be deduced from relatively weak requirements on their local behavior known as nonuniform hyperbolicity conditions. Nonuniform hyperbolicity theory is an important part of the general theory of dynamical systems. Its core is the study of dynamical systems with nonzero Lyapunov exponents both conservative and dissipative, in addition to cocycles and group actions. The results of this theory are widely used in geometry (e.g., geodesic flows and Teichmüller flows), in rigidity theory, in the study of some partial differential equations (e.g., the Schrödinger equation), in the theory of billiards, as well as in applications to physics, biology, engineering, and other fields. | ||
| 700 | 1 | |a Pesin, Ya. B. | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9780521832588 |
| 966 | 4 | 0 | |l DE-91 |p ZDB-20-CTM |q TUM_PDA_CTM |u https://doi.org/10.1017/CBO9781107326026 |3 Volltext |
| 912 | |a ZDB-20-CTM | ||
| 912 | |a ZDB-20-CTM | ||
| 049 | |a DE-91 | ||
Datensatz im Suchindex
| DE-BY-TUM_katkey | ZDB-20-CTM-CR9781107326026 |
|---|---|
| _version_ | 1825574050229911552 |
| adam_text | |
| any_adam_object | |
| author | Barreira, Luis 1968- |
| author2 | Pesin, Ya. B. |
| author2_role | |
| author2_variant | y b p yb ybp |
| author_facet | Barreira, Luis 1968- Pesin, Ya. B. |
| author_role | |
| author_sort | Barreira, Luis 1968- |
| author_variant | l b lb |
| building | Verbundindex |
| bvnumber | localTUM |
| collection | ZDB-20-CTM |
| format | eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02035nam a2200265 i 4500</leader><controlfield tag="001">ZDB-20-CTM-CR9781107326026</controlfield><controlfield tag="003">UkCbUP</controlfield><controlfield tag="005">20151005020622.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr||||||||||||</controlfield><controlfield tag="008">130129s2007||||enk o ||1 0|eng|d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107326026</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Barreira, Luis</subfield><subfield code="d">1968-</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Nonuniform hyperbolicity</subfield><subfield code="b">dynamics of systems with nonzero Lyapunov exponents</subfield><subfield code="c">Luis Barreira, Yakov Pesin</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2007</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xiv, 513 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Encyclopedia of mathematics and its applications</subfield><subfield code="v">volume 115</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Designed to work as a reference and as a supplement to an advanced course on dynamical systems, this book presents a self-contained and comprehensive account of modern smooth ergodic theory. Among other things, this provides a rigorous mathematical foundation for the phenomenon known as deterministic chaos - the appearance of 'chaotic' motions in pure deterministic dynamical systems. A sufficiently complete description of topological and ergodic properties of systems exhibiting deterministic chaos can be deduced from relatively weak requirements on their local behavior known as nonuniform hyperbolicity conditions. Nonuniform hyperbolicity theory is an important part of the general theory of dynamical systems. Its core is the study of dynamical systems with nonzero Lyapunov exponents both conservative and dissipative, in addition to cocycles and group actions. The results of this theory are widely used in geometry (e.g., geodesic flows and Teichmüller flows), in rigidity theory, in the study of some partial differential equations (e.g., the Schrödinger equation), in the theory of billiards, as well as in applications to physics, biology, engineering, and other fields.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Pesin, Ya. B.</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9780521832588</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-91</subfield><subfield code="p">ZDB-20-CTM</subfield><subfield code="q">TUM_PDA_CTM</subfield><subfield code="u">https://doi.org/10.1017/CBO9781107326026</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield></datafield></record></collection> |
| id | ZDB-20-CTM-CR9781107326026 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-03T11:58:04Z |
| institution | BVB |
| isbn | 9781107326026 |
| language | English |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM |
| owner_facet | DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (xiv, 513 Seiten) |
| psigel | ZDB-20-CTM TUM_PDA_CTM ZDB-20-CTM |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Barreira, Luis 1968- Nonuniform hyperbolicity dynamics of systems with nonzero Lyapunov exponents Luis Barreira, Yakov Pesin Cambridge Cambridge University Press 2007 1 Online-Ressource (xiv, 513 Seiten) txt c cr Encyclopedia of mathematics and its applications volume 115 Designed to work as a reference and as a supplement to an advanced course on dynamical systems, this book presents a self-contained and comprehensive account of modern smooth ergodic theory. Among other things, this provides a rigorous mathematical foundation for the phenomenon known as deterministic chaos - the appearance of 'chaotic' motions in pure deterministic dynamical systems. A sufficiently complete description of topological and ergodic properties of systems exhibiting deterministic chaos can be deduced from relatively weak requirements on their local behavior known as nonuniform hyperbolicity conditions. Nonuniform hyperbolicity theory is an important part of the general theory of dynamical systems. Its core is the study of dynamical systems with nonzero Lyapunov exponents both conservative and dissipative, in addition to cocycles and group actions. The results of this theory are widely used in geometry (e.g., geodesic flows and Teichmüller flows), in rigidity theory, in the study of some partial differential equations (e.g., the Schrödinger equation), in the theory of billiards, as well as in applications to physics, biology, engineering, and other fields. Pesin, Ya. B. Erscheint auch als Druck-Ausgabe 9780521832588 |
| spellingShingle | Barreira, Luis 1968- Nonuniform hyperbolicity dynamics of systems with nonzero Lyapunov exponents |
| title | Nonuniform hyperbolicity dynamics of systems with nonzero Lyapunov exponents |
| title_auth | Nonuniform hyperbolicity dynamics of systems with nonzero Lyapunov exponents |
| title_exact_search | Nonuniform hyperbolicity dynamics of systems with nonzero Lyapunov exponents |
| title_full | Nonuniform hyperbolicity dynamics of systems with nonzero Lyapunov exponents Luis Barreira, Yakov Pesin |
| title_fullStr | Nonuniform hyperbolicity dynamics of systems with nonzero Lyapunov exponents Luis Barreira, Yakov Pesin |
| title_full_unstemmed | Nonuniform hyperbolicity dynamics of systems with nonzero Lyapunov exponents Luis Barreira, Yakov Pesin |
| title_short | Nonuniform hyperbolicity |
| title_sort | nonuniform hyperbolicity dynamics of systems with nonzero lyapunov exponents |
| title_sub | dynamics of systems with nonzero Lyapunov exponents |
| work_keys_str_mv | AT barreiraluis nonuniformhyperbolicitydynamicsofsystemswithnonzerolyapunovexponents AT pesinyab nonuniformhyperbolicitydynamicsofsystemswithnonzerolyapunovexponents |