Regular and Chaotic Dynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1992
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Applied Mathematical Sciences
38 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | What's in a name? The original title of our book, Regular and Stochastic Motion, was chosen to emphasize Hamiltonian dynamics and the physical motion of bodies. The new edition is more evenhanded, with considerably more discussion of dissipative systems and dynamics not involving physical motion. To reflect this partial change of emphasis, we have substituted the more general terms in our title. The common usage of the new terms clarifies the emphasis of the book. The main change in the book has been to expand the sections on dissipative dynamics, including discussion of renormalization, circle maps, intermittancy, crises, transient chaos, multifractals, reconstruction, and coupled mapping systems. These topics were either mainly in the mathemati cal literature or essentially unstudied when our first edition was written. The volume of work in these areas has surpassed that in Hamiltonian dynamics within the past few years. We have also made changes in the Hamiltonian sections, adding many new topics such as more general transformation and stability theory, connected stochasticity in two-dimensional maps, converse KAM theory, new topics in diffusion theory, and an approach to equilibrium in many dimensions. Other sections such as mapping models have been revised to take into account new perspectives. We have also corrected a number of misprints and clarified various arguments with the help of colleagues and students, some of whom we acknowledge below. We have again chosen not to treat quantum chaos, partly due to our own lack ofacquaintance with the subject |
| Beschreibung: | 1 Online-Ressource (XXII, 692 p) |
| ISBN: | 9781475721843 9781441931009 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/978-1-4757-2184-3 |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Lichtenberg, Allan J. |
| author_GND | (DE-588)170652246 (DE-588)1139215000 |
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| author_role | aut |
| author_sort | Lichtenberg, Allan J. |
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| discipline | Mathematik |
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| id | DE-604.BV042421317 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781475721843 9781441931009 |
| issn | 0066-5452 |
| language | English |
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| spelling | Lichtenberg, Allan J. Verfasser (DE-588)170652246 aut Regular and Chaotic Dynamics by A. J. Lichtenberg, M. A. Lieberman Second Edition New York, NY Springer New York 1992 1 Online-Ressource (XXII, 692 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 38 0066-5452 What's in a name? The original title of our book, Regular and Stochastic Motion, was chosen to emphasize Hamiltonian dynamics and the physical motion of bodies. The new edition is more evenhanded, with considerably more discussion of dissipative systems and dynamics not involving physical motion. To reflect this partial change of emphasis, we have substituted the more general terms in our title. The common usage of the new terms clarifies the emphasis of the book. The main change in the book has been to expand the sections on dissipative dynamics, including discussion of renormalization, circle maps, intermittancy, crises, transient chaos, multifractals, reconstruction, and coupled mapping systems. These topics were either mainly in the mathemati cal literature or essentially unstudied when our first edition was written. The volume of work in these areas has surpassed that in Hamiltonian dynamics within the past few years. We have also made changes in the Hamiltonian sections, adding many new topics such as more general transformation and stability theory, connected stochasticity in two-dimensional maps, converse KAM theory, new topics in diffusion theory, and an approach to equilibrium in many dimensions. Other sections such as mapping models have been revised to take into account new perspectives. We have also corrected a number of misprints and clarified various arguments with the help of colleagues and students, some of whom we acknowledge below. We have again chosen not to treat quantum chaos, partly due to our own lack ofacquaintance with the subject Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Stochastische Strömung (DE-588)4195753-2 gnd rswk-swf Chaotisches System (DE-588)4316104-2 s Nichtlineares dynamisches System (DE-588)4126142-2 s 1\p DE-604 Stochastische Strömung (DE-588)4195753-2 s 2\p DE-604 Lieberman, Michael A. 1940- Sonstige (DE-588)1139215000 oth https://doi.org/10.1007/978-1-4757-2184-3 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 |
| spellingShingle | Lichtenberg, Allan J. Regular and Chaotic Dynamics Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Nichtlineares dynamisches System (DE-588)4126142-2 gnd Chaotisches System (DE-588)4316104-2 gnd Stochastische Strömung (DE-588)4195753-2 gnd |
| subject_GND | (DE-588)4126142-2 (DE-588)4316104-2 (DE-588)4195753-2 |
| title | Regular and Chaotic Dynamics |
| title_auth | Regular and Chaotic Dynamics |
| title_exact_search | Regular and Chaotic Dynamics |
| title_full | Regular and Chaotic Dynamics by A. J. Lichtenberg, M. A. Lieberman |
| title_fullStr | Regular and Chaotic Dynamics by A. J. Lichtenberg, M. A. Lieberman |
| title_full_unstemmed | Regular and Chaotic Dynamics by A. J. Lichtenberg, M. A. Lieberman |
| title_short | Regular and Chaotic Dynamics |
| title_sort | regular and chaotic dynamics |
| topic | Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Nichtlineares dynamisches System (DE-588)4126142-2 gnd Chaotisches System (DE-588)4316104-2 gnd Stochastische Strömung (DE-588)4195753-2 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Nichtlineares dynamisches System Chaotisches System Stochastische Strömung |
| url | https://doi.org/10.1007/978-1-4757-2184-3 |
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