On the approximation of complicated dynamical behavior:
Abstract: "We present efficient techniques for the numerical approximation of complicated dynamical behavior. In particular, we develop numerical methods which allow to approximate SBR-measures as well as (almost) cyclic behavior of a dynamical system. The methods are based on an appropriate di...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1996
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| Schriftenreihe: | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin
1996,35 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "We present efficient techniques for the numerical approximation of complicated dynamical behavior. In particular, we develop numerical methods which allow to approximate SBR-measures as well as (almost) cyclic behavior of a dynamical system. The methods are based on an appropriate discretization of the Frobenius-Perron operator, and two essentially different mathematical concepts are used: the idea is to combine classical convergence results for finite dimensional approximations of compact operators with results from Ergodic Theory concerning the approximation of SBR-measures by invariant measures of stochastically perturbed systems. The efficiency of the methods is illustrated by several numerical examples." |
| Beschreibung: | 28 S. graph. Darst. |
Internformat
MARC
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| 035 | |a (OCoLC)37235520 | ||
| 035 | |a (DE-599)BVBBV017186678 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 | ||
| 100 | 1 | |a Dellnitz, Michael |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a On the approximation of complicated dynamical behavior |c Michael Dellnitz ; Oliver Junge |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1996 | |
| 300 | |a 28 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |v 1996,35 | |
| 520 | 3 | |a Abstract: "We present efficient techniques for the numerical approximation of complicated dynamical behavior. In particular, we develop numerical methods which allow to approximate SBR-measures as well as (almost) cyclic behavior of a dynamical system. The methods are based on an appropriate discretization of the Frobenius-Perron operator, and two essentially different mathematical concepts are used: the idea is to combine classical convergence results for finite dimensional approximations of compact operators with results from Ergodic Theory concerning the approximation of SBR-measures by invariant measures of stochastically perturbed systems. The efficiency of the methods is illustrated by several numerical examples." | |
| 650 | 4 | |a Differential dynamical systems | |
| 650 | 4 | |a Ergodic theory | |
| 650 | 4 | |a Frobenius algebra | |
| 650 | 4 | |a Invariants | |
| 700 | 1 | |a Junge, Oliver |d 1968- |e Verfasser |0 (DE-588)114972680 |4 aut | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t Preprint SC |v 1996,35 |w (DE-604)BV004801715 |9 1996,35 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010357860 | |
Datensatz im Suchindex
| _version_ | 1820882503717617664 |
|---|---|
| adam_text | |
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| author | Dellnitz, Michael Junge, Oliver 1968- |
| author_GND | (DE-588)114972680 |
| author_facet | Dellnitz, Michael Junge, Oliver 1968- |
| author_role | aut aut |
| author_sort | Dellnitz, Michael |
| author_variant | m d md o j oj |
| building | Verbundindex |
| bvnumber | BV017186678 |
| classification_rvk | SS 4777 |
| ctrlnum | (OCoLC)37235520 (DE-599)BVBBV017186678 |
| discipline | Informatik |
| format | Book |
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| id | DE-604.BV017186678 |
| illustrated | Illustrated |
| indexdate | 2025-01-10T17:07:56Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010357860 |
| oclc_num | 37235520 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | 28 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series2 | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| spelling | Dellnitz, Michael Verfasser aut On the approximation of complicated dynamical behavior Michael Dellnitz ; Oliver Junge Berlin Konrad-Zuse-Zentrum für Informationstechnik 1996 28 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin 1996,35 Abstract: "We present efficient techniques for the numerical approximation of complicated dynamical behavior. In particular, we develop numerical methods which allow to approximate SBR-measures as well as (almost) cyclic behavior of a dynamical system. The methods are based on an appropriate discretization of the Frobenius-Perron operator, and two essentially different mathematical concepts are used: the idea is to combine classical convergence results for finite dimensional approximations of compact operators with results from Ergodic Theory concerning the approximation of SBR-measures by invariant measures of stochastically perturbed systems. The efficiency of the methods is illustrated by several numerical examples." Differential dynamical systems Ergodic theory Frobenius algebra Invariants Junge, Oliver 1968- Verfasser (DE-588)114972680 aut Konrad-Zuse-Zentrum für Informationstechnik Berlin Preprint SC 1996,35 (DE-604)BV004801715 1996,35 |
| spellingShingle | Dellnitz, Michael Junge, Oliver 1968- On the approximation of complicated dynamical behavior Differential dynamical systems Ergodic theory Frobenius algebra Invariants |
| title | On the approximation of complicated dynamical behavior |
| title_auth | On the approximation of complicated dynamical behavior |
| title_exact_search | On the approximation of complicated dynamical behavior |
| title_full | On the approximation of complicated dynamical behavior Michael Dellnitz ; Oliver Junge |
| title_fullStr | On the approximation of complicated dynamical behavior Michael Dellnitz ; Oliver Junge |
| title_full_unstemmed | On the approximation of complicated dynamical behavior Michael Dellnitz ; Oliver Junge |
| title_short | On the approximation of complicated dynamical behavior |
| title_sort | on the approximation of complicated dynamical behavior |
| topic | Differential dynamical systems Ergodic theory Frobenius algebra Invariants |
| topic_facet | Differential dynamical systems Ergodic theory Frobenius algebra Invariants |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT dellnitzmichael ontheapproximationofcomplicateddynamicalbehavior AT jungeoliver ontheapproximationofcomplicateddynamicalbehavior |