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...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1988
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| Links: | https://doi.org/10.1017/CBO9780511608162 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (x, 367 Seiten) |
| ISBN: | 9780511608162 |
Internformat
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| 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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| spelling | Marek, Miloš Chaotic behaviour of deterministic dissipative systems Miloš Marek and Igor Schreiber Cambridge Cambridge University Press 1988 1 Online-Ressource (x, 367 Seiten) txt c cr 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. Schreiber, Igor Erscheint auch als Druck-Ausgabe 9780521321679 Erscheint auch als Druck-Ausgabe 9780521438308 |
| spellingShingle | Marek, Miloš Chaotic behaviour of deterministic dissipative systems |
| 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 |
| work_keys_str_mv | AT marekmilos chaoticbehaviourofdeterministicdissipativesystems AT schreiberigor chaoticbehaviourofdeterministicdissipativesystems |