Practical Numerical Algorithms for Chaotic Systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1989
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | One of the basic tenets of science is that deterministic systems are completely predictable-given the initial condition and the equations describing a system, the behavior of the system can be predicted 1 for all time. The discovery of chaotic systems has eliminated this viewpoint. Simply put, a chaotic system is a deterministic system that exhibits random behavior. Though identified as a robust phenomenon only twenty years ago, chaos has almost certainly been encountered by scientists and engi neers many times during the last century only to be dismissed as physical noise. Chaos is such a wide-spread phenomenon that it has now been reported in virtually every scientific discipline: astronomy, biology, biophysics, chemistry, engineering, geology, mathematics, medicine, meteorology, plasmas, physics, and even the social sci ences. It is no coincidence that during the same two decades in which chaos has grown into an independent field of research, computers have permeated society. It is, in fact, the wide availability of inex pensive computing power that has spurred much of the research in chaotic dynamics. The reason is simple: the computer can calculate a solution of a nonlinear system. This is no small feat. Unlike lin ear systems, where closed-form solutions can be written in terms of the system's eigenvalues and eigenvectors, few nonlinear systems and virtually no chaotic systems possess closed-form solutions |
| Beschreibung: | 1 Online-Ressource (XIV, 348p. 152 illus) |
| ISBN: | 9781461234869 9781461281214 |
| DOI: | 10.1007/978-1-4612-3486-9 |
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| 500 | |a One of the basic tenets of science is that deterministic systems are completely predictable-given the initial condition and the equations describing a system, the behavior of the system can be predicted 1 for all time. The discovery of chaotic systems has eliminated this viewpoint. Simply put, a chaotic system is a deterministic system that exhibits random behavior. Though identified as a robust phenomenon only twenty years ago, chaos has almost certainly been encountered by scientists and engi neers many times during the last century only to be dismissed as physical noise. Chaos is such a wide-spread phenomenon that it has now been reported in virtually every scientific discipline: astronomy, biology, biophysics, chemistry, engineering, geology, mathematics, medicine, meteorology, plasmas, physics, and even the social sci ences. It is no coincidence that during the same two decades in which chaos has grown into an independent field of research, computers have permeated society. It is, in fact, the wide availability of inex pensive computing power that has spurred much of the research in chaotic dynamics. The reason is simple: the computer can calculate a solution of a nonlinear system. This is no small feat. Unlike lin ear systems, where closed-form solutions can be written in terms of the system's eigenvalues and eigenvectors, few nonlinear systems and virtually no chaotic systems possess closed-form solutions | ||
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Datensatz im Suchindex
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| author | Parker, Thomas S. |
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| discipline | Mathematik |
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| spelling | Parker, Thomas S. Verfasser aut Practical Numerical Algorithms for Chaotic Systems by Thomas S. Parker, Leon O. Chua New York, NY Springer New York 1989 1 Online-Ressource (XIV, 348p. 152 illus) txt rdacontent c rdamedia cr rdacarrier One of the basic tenets of science is that deterministic systems are completely predictable-given the initial condition and the equations describing a system, the behavior of the system can be predicted 1 for all time. The discovery of chaotic systems has eliminated this viewpoint. Simply put, a chaotic system is a deterministic system that exhibits random behavior. Though identified as a robust phenomenon only twenty years ago, chaos has almost certainly been encountered by scientists and engi neers many times during the last century only to be dismissed as physical noise. Chaos is such a wide-spread phenomenon that it has now been reported in virtually every scientific discipline: astronomy, biology, biophysics, chemistry, engineering, geology, mathematics, medicine, meteorology, plasmas, physics, and even the social sci ences. It is no coincidence that during the same two decades in which chaos has grown into an independent field of research, computers have permeated society. It is, in fact, the wide availability of inex pensive computing power that has spurred much of the research in chaotic dynamics. The reason is simple: the computer can calculate a solution of a nonlinear system. This is no small feat. Unlike lin ear systems, where closed-form solutions can be written in terms of the system's eigenvalues and eigenvectors, few nonlinear systems and virtually no chaotic systems possess closed-form solutions Mathematics Chemistry / Mathematics Systems theory Mathematical optimization Engineering Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Math. Applications in Chemistry Computational Intelligence Chemie Ingenieurwissenschaften Mathematik Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Chaos (DE-588)4191419-3 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Chaostheorie (DE-588)4009754-7 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 s Chaotisches System (DE-588)4316104-2 s Algorithmus (DE-588)4001183-5 s 1\p DE-604 Chaostheorie (DE-588)4009754-7 s Numerische Mathematik (DE-588)4042805-9 s 2\p DE-604 Chaos (DE-588)4191419-3 s 3\p DE-604 Nichtlineares System (DE-588)4042110-7 s 4\p DE-604 Chua, Leon O. Sonstige oth https://doi.org/10.1007/978-1-4612-3486-9 Verlag 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 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Parker, Thomas S. Practical Numerical Algorithms for Chaotic Systems Mathematics Chemistry / Mathematics Systems theory Mathematical optimization Engineering Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Math. Applications in Chemistry Computational Intelligence Chemie Ingenieurwissenschaften Mathematik Nichtlineares System (DE-588)4042110-7 gnd Chaos (DE-588)4191419-3 gnd Numerische Mathematik (DE-588)4042805-9 gnd Algorithmus (DE-588)4001183-5 gnd Chaotisches System (DE-588)4316104-2 gnd Chaostheorie (DE-588)4009754-7 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd |
| subject_GND | (DE-588)4042110-7 (DE-588)4191419-3 (DE-588)4042805-9 (DE-588)4001183-5 (DE-588)4316104-2 (DE-588)4009754-7 (DE-588)4126142-2 |
| title | Practical Numerical Algorithms for Chaotic Systems |
| title_auth | Practical Numerical Algorithms for Chaotic Systems |
| title_exact_search | Practical Numerical Algorithms for Chaotic Systems |
| title_full | Practical Numerical Algorithms for Chaotic Systems by Thomas S. Parker, Leon O. Chua |
| title_fullStr | Practical Numerical Algorithms for Chaotic Systems by Thomas S. Parker, Leon O. Chua |
| title_full_unstemmed | Practical Numerical Algorithms for Chaotic Systems by Thomas S. Parker, Leon O. Chua |
| title_short | Practical Numerical Algorithms for Chaotic Systems |
| title_sort | practical numerical algorithms for chaotic systems |
| topic | Mathematics Chemistry / Mathematics Systems theory Mathematical optimization Engineering Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Math. Applications in Chemistry Computational Intelligence Chemie Ingenieurwissenschaften Mathematik Nichtlineares System (DE-588)4042110-7 gnd Chaos (DE-588)4191419-3 gnd Numerische Mathematik (DE-588)4042805-9 gnd Algorithmus (DE-588)4001183-5 gnd Chaotisches System (DE-588)4316104-2 gnd Chaostheorie (DE-588)4009754-7 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd |
| topic_facet | Mathematics Chemistry / Mathematics Systems theory Mathematical optimization Engineering Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Math. Applications in Chemistry Computational Intelligence Chemie Ingenieurwissenschaften Mathematik Nichtlineares System Chaos Numerische Mathematik Algorithmus Chaotisches System Chaostheorie Nichtlineares dynamisches System |
| url | https://doi.org/10.1007/978-1-4612-3486-9 |
| work_keys_str_mv | AT parkerthomass practicalnumericalalgorithmsforchaoticsystems AT chualeono practicalnumericalalgorithmsforchaoticsystems |