Chaotic dynamics in Hamiltonian systems: with applications to celestial mechanics
In the past hundred years investigators have learned the significance of complex behavior in deterministic systems. The potential applications of this discovery are as numerous as they are encouraging. This text clearly presents the mathematical foundations of chaotic dynamics, including methods and...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1997
|
| Schriftenreihe: | World Scientific series on nonlinear science. Series A
vol. 25 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | In the past hundred years investigators have learned the significance of complex behavior in deterministic systems. The potential applications of this discovery are as numerous as they are encouraging. This text clearly presents the mathematical foundations of chaotic dynamics, including methods and results at the forefront of current research. The book begins with a thorough introduction to dynamical systems and their applications. It goes on to develop the theory of regular and stochastic behavior in higher-degree-of-freedom Hamiltonian systems, covering topics such as homoclinic chaos, KAM theory, the Melnikov method, and Arnold diffusion. Theoretical discussions are illustrated by a study of the dynamics of small circumasteroidal grains perturbed by solar radiation pressure. With alternative derivations and proofs of established results substituted for those in the standard literature, this work serves as an important source for researchers, students and teachers. Skillfully combining in-depth mathematics and actual physical applications, this book will be of interest to the applied mathematician, the theoretical mechanical engineer and the dynamical astronomer alike |
| Beschreibung: | xiii, 209 p. ill |
| ISBN: | 9789812796288 |
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| 520 | |a In the past hundred years investigators have learned the significance of complex behavior in deterministic systems. The potential applications of this discovery are as numerous as they are encouraging. This text clearly presents the mathematical foundations of chaotic dynamics, including methods and results at the forefront of current research. The book begins with a thorough introduction to dynamical systems and their applications. It goes on to develop the theory of regular and stochastic behavior in higher-degree-of-freedom Hamiltonian systems, covering topics such as homoclinic chaos, KAM theory, the Melnikov method, and Arnold diffusion. Theoretical discussions are illustrated by a study of the dynamics of small circumasteroidal grains perturbed by solar radiation pressure. With alternative derivations and proofs of established results substituted for those in the standard literature, this work serves as an important source for researchers, students and teachers. Skillfully combining in-depth mathematics and actual physical applications, this book will be of interest to the applied mathematician, the theoretical mechanical engineer and the dynamical astronomer alike | ||
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Datensatz im Suchindex
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| author | Dankowicz, Harry |
| author_facet | Dankowicz, Harry |
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| dewey-full | 521 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 521 - Celestial mechanics |
| dewey-raw | 521 |
| dewey-search | 521 |
| dewey-sort | 3521 |
| dewey-tens | 520 - Astronomy and allied sciences |
| discipline | Physik |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9789812796288 |
| language | English |
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| spelling | Dankowicz, Harry Verfasser aut Chaotic dynamics in Hamiltonian systems with applications to celestial mechanics Harry Dankowicz Singapore World Scientific Pub. Co. c1997 xiii, 209 p. ill txt rdacontent c rdamedia cr rdacarrier World Scientific series on nonlinear science. Series A vol. 25 In the past hundred years investigators have learned the significance of complex behavior in deterministic systems. The potential applications of this discovery are as numerous as they are encouraging. This text clearly presents the mathematical foundations of chaotic dynamics, including methods and results at the forefront of current research. The book begins with a thorough introduction to dynamical systems and their applications. It goes on to develop the theory of regular and stochastic behavior in higher-degree-of-freedom Hamiltonian systems, covering topics such as homoclinic chaos, KAM theory, the Melnikov method, and Arnold diffusion. Theoretical discussions are illustrated by a study of the dynamics of small circumasteroidal grains perturbed by solar radiation pressure. With alternative derivations and proofs of established results substituted for those in the standard literature, this work serves as an important source for researchers, students and teachers. Skillfully combining in-depth mathematics and actual physical applications, this book will be of interest to the applied mathematician, the theoretical mechanical engineer and the dynamical astronomer alike Celestial mechanics Hamiltonian systems Chaotic behavior in systems Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf Himmelsmechanik (DE-588)4127484-2 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Himmelsmechanik (DE-588)4127484-2 s Hamiltonsches System (DE-588)4139943-2 s Chaotisches System (DE-588)4316104-2 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810232214 Erscheint auch als Druck-Ausgabe 9810232217 http://www.worldscientific.com/worldscibooks/10.1142/3554#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dankowicz, Harry Chaotic dynamics in Hamiltonian systems with applications to celestial mechanics Celestial mechanics Hamiltonian systems Chaotic behavior in systems Hamiltonsches System (DE-588)4139943-2 gnd Himmelsmechanik (DE-588)4127484-2 gnd Chaotisches System (DE-588)4316104-2 gnd |
| subject_GND | (DE-588)4139943-2 (DE-588)4127484-2 (DE-588)4316104-2 |
| title | Chaotic dynamics in Hamiltonian systems with applications to celestial mechanics |
| title_auth | Chaotic dynamics in Hamiltonian systems with applications to celestial mechanics |
| title_exact_search | Chaotic dynamics in Hamiltonian systems with applications to celestial mechanics |
| title_full | Chaotic dynamics in Hamiltonian systems with applications to celestial mechanics Harry Dankowicz |
| title_fullStr | Chaotic dynamics in Hamiltonian systems with applications to celestial mechanics Harry Dankowicz |
| title_full_unstemmed | Chaotic dynamics in Hamiltonian systems with applications to celestial mechanics Harry Dankowicz |
| title_short | Chaotic dynamics in Hamiltonian systems |
| title_sort | chaotic dynamics in hamiltonian systems with applications to celestial mechanics |
| title_sub | with applications to celestial mechanics |
| topic | Celestial mechanics Hamiltonian systems Chaotic behavior in systems Hamiltonsches System (DE-588)4139943-2 gnd Himmelsmechanik (DE-588)4127484-2 gnd Chaotisches System (DE-588)4316104-2 gnd |
| topic_facet | Celestial mechanics Hamiltonian systems Chaotic behavior in systems Hamiltonsches System Himmelsmechanik Chaotisches System |
| url | http://www.worldscientific.com/worldscibooks/10.1142/3554#t=toc |
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