Chaotic behaviour of deterministic dissipative systems:
This is a graduate text surveying both the theoretical and experimental aspects of chaotic behaviour. Over the course of the past two decades it has been discovered that relatively simple, deterministic, nonlinear mathematical models that describe dynamic phenomena in various physical, chemical, bio...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1988
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| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | This is a graduate text surveying both the theoretical and experimental aspects of chaotic behaviour. Over the course of the past two decades it has been discovered that relatively simple, deterministic, nonlinear mathematical models that describe dynamic phenomena in various physical, chemical, biological and other systems yield solutions which are aperiodic and depend very sensitively on the initial conditions. This phenomenon is known as deterministic chaos. The authors present chaos as a model of many seemingly random processes in nature. Basic notions from the theory of dynamical systems and bifurcation theory, together with the properties of chaotic solutions, are then described and are illustrated by examples. A review of the numerical methods used both in studies of mathematical models and in the interpretation of experimental data is also provided |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (x, 367 pages) |
| ISBN: | 9780511608162 |
| DOI: | 10.1017/CBO9780511608162 |
Staff View
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 520 | |a This is a graduate text surveying both the theoretical and experimental aspects of chaotic behaviour. Over the course of the past two decades it has been discovered that relatively simple, deterministic, nonlinear mathematical models that describe dynamic phenomena in various physical, chemical, biological and other systems yield solutions which are aperiodic and depend very sensitively on the initial conditions. This phenomenon is known as deterministic chaos. The authors present chaos as a model of many seemingly random processes in nature. Basic notions from the theory of dynamical systems and bifurcation theory, together with the properties of chaotic solutions, are then described and are illustrated by examples. A review of the numerical methods used both in studies of mathematical models and in the interpretation of experimental data is also provided | ||
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Record in the Search Index
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| author | Marek, Miloš 1939- |
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| collection | ZDB-20-CBO |
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| dewey-full | 003 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 003 - Systems |
| dewey-raw | 003 |
| dewey-search | 003 |
| dewey-sort | 13 |
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| discipline | Physik Informatik Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:20Z |
| institution | BVB |
| isbn | 9780511608162 |
| language | English |
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| spelling | Marek, Miloš 1939- Verfasser (DE-588)1158112084 aut Chaotic behaviour of deterministic dissipative systems Miloš Marek and Igor Schreiber Cambridge Cambridge University Press 1988 1 online resource (x, 367 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) This is a graduate text surveying both the theoretical and experimental aspects of chaotic behaviour. Over the course of the past two decades it has been discovered that relatively simple, deterministic, nonlinear mathematical models that describe dynamic phenomena in various physical, chemical, biological and other systems yield solutions which are aperiodic and depend very sensitively on the initial conditions. This phenomenon is known as deterministic chaos. The authors present chaos as a model of many seemingly random processes in nature. Basic notions from the theory of dynamical systems and bifurcation theory, together with the properties of chaotic solutions, are then described and are illustrated by examples. A review of the numerical methods used both in studies of mathematical models and in the interpretation of experimental data is also provided Chaotic behavior in systems Differentiable dynamical systems Nonlinear theories Chaostheorie (DE-588)4009754-7 gnd rswk-swf Chaos (DE-588)4191419-3 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Dissipatives System (DE-588)4209641-8 gnd rswk-swf Dissipatives System (DE-588)4209641-8 s Chaostheorie (DE-588)4009754-7 s 1\p DE-604 Nichtlineares dynamisches System (DE-588)4126142-2 s Chaos (DE-588)4191419-3 s 2\p DE-604 3\p DE-604 Schreiber, Igor Sonstige oth Erscheint auch als Druckausgabe 978-0-521-32167-9 Erscheint auch als Druckausgabe 978-0-521-43830-8 https://doi.org/10.1017/CBO9780511608162 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Marek, Miloš 1939- Chaotic behaviour of deterministic dissipative systems Chaotic behavior in systems Differentiable dynamical systems Nonlinear theories Chaostheorie (DE-588)4009754-7 gnd Chaos (DE-588)4191419-3 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Dissipatives System (DE-588)4209641-8 gnd |
| subject_GND | (DE-588)4009754-7 (DE-588)4191419-3 (DE-588)4126142-2 (DE-588)4209641-8 |
| title | Chaotic behaviour of deterministic dissipative systems |
| title_auth | Chaotic behaviour of deterministic dissipative systems |
| title_exact_search | Chaotic behaviour of deterministic dissipative systems |
| title_full | Chaotic behaviour of deterministic dissipative systems Miloš Marek and Igor Schreiber |
| title_fullStr | Chaotic behaviour of deterministic dissipative systems Miloš Marek and Igor Schreiber |
| title_full_unstemmed | Chaotic behaviour of deterministic dissipative systems Miloš Marek and Igor Schreiber |
| title_short | Chaotic behaviour of deterministic dissipative systems |
| title_sort | chaotic behaviour of deterministic dissipative systems |
| topic | Chaotic behavior in systems Differentiable dynamical systems Nonlinear theories Chaostheorie (DE-588)4009754-7 gnd Chaos (DE-588)4191419-3 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Dissipatives System (DE-588)4209641-8 gnd |
| topic_facet | Chaotic behavior in systems Differentiable dynamical systems Nonlinear theories Chaostheorie Chaos Nichtlineares dynamisches System Dissipatives System |
| url | https://doi.org/10.1017/CBO9780511608162 |
| work_keys_str_mv | AT marekmilos chaoticbehaviourofdeterministicdissipativesystems AT schreiberigor chaoticbehaviourofdeterministicdissipativesystems |