Modeling by nonlinear differential equations: dissipative and conservative processes
This book aims to provide mathematical analyses of nonlinear differential equations, which have proved pivotal to understanding many phenomena in physics, chemistry and biology. Topics of focus are autocatalysis and dynamics of molecular evolution, relaxation oscillations, deterministic chaos, react...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2009
|
| Schriftenreihe: | World Scientific series on nonlinear science. Series A
v. 69 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This book aims to provide mathematical analyses of nonlinear differential equations, which have proved pivotal to understanding many phenomena in physics, chemistry and biology. Topics of focus are autocatalysis and dynamics of molecular evolution, relaxation oscillations, deterministic chaos, reaction diffusion driven chemical pattern formation, solitons and neuron dynamics. Included is a discussion of processes from the viewpoints of reversibility, reflected by conservative classical mechanics, and irreversibility introduced by the dissipative role of diffusion. Each chapter presents the subject matter from the point of one or a few key equations, whose properties and consequences are amplified by approximate analytic solutions that are developed to support graphical display of exact computer solutions |
| Beschreibung: | xi, 225 p. ill. (some col.) |
| ISBN: | 9789814271608 |
Internformat
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| 490 | 0 | |a World Scientific series on nonlinear science. Series A |v v. 69 | |
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Datensatz im Suchindex
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| dewey-ones | 515 - Analysis |
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| dewey-search | 515.35 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Biologie Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044637690 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:57:51Z |
| institution | BVB |
| isbn | 9789814271608 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030035663 |
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| owner_facet | DE-92 |
| physical | xi, 225 p. ill. (some col.) |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | World Scientific series on nonlinear science. Series A |
| spelling | Phillipson, Paul E. 1933- Verfasser (DE-588)139376461 aut Modeling by nonlinear differential equations dissipative and conservative processes Paul E. Phillipson, Peter Schuster Singapore World Scientific Pub. Co. c2009 xi, 225 p. ill. (some col.) txt rdacontent c rdamedia cr rdacarrier World Scientific series on nonlinear science. Series A v. 69 This book aims to provide mathematical analyses of nonlinear differential equations, which have proved pivotal to understanding many phenomena in physics, chemistry and biology. Topics of focus are autocatalysis and dynamics of molecular evolution, relaxation oscillations, deterministic chaos, reaction diffusion driven chemical pattern formation, solitons and neuron dynamics. Included is a discussion of processes from the viewpoints of reversibility, reflected by conservative classical mechanics, and irreversibility introduced by the dissipative role of diffusion. Each chapter presents the subject matter from the point of one or a few key equations, whose properties and consequences are amplified by approximate analytic solutions that are developed to support graphical display of exact computer solutions Differential equations, Nonlinear Differential equations, Partial Mathematical models Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf Nichtlineare Differentialgleichung (DE-588)4205536-2 s 1\p DE-604 Schuster, Peter 1941- Sonstige (DE-588)132500965 oth Erscheint auch als Druck-Ausgabe 9789814271592 Erscheint auch als Druck-Ausgabe 9814271594 http://www.worldscientific.com/worldscibooks/10.1142/7262#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Phillipson, Paul E. 1933- Modeling by nonlinear differential equations dissipative and conservative processes Differential equations, Nonlinear Differential equations, Partial Mathematical models Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd |
| subject_GND | (DE-588)4205536-2 |
| title | Modeling by nonlinear differential equations dissipative and conservative processes |
| title_auth | Modeling by nonlinear differential equations dissipative and conservative processes |
| title_exact_search | Modeling by nonlinear differential equations dissipative and conservative processes |
| title_full | Modeling by nonlinear differential equations dissipative and conservative processes Paul E. Phillipson, Peter Schuster |
| title_fullStr | Modeling by nonlinear differential equations dissipative and conservative processes Paul E. Phillipson, Peter Schuster |
| title_full_unstemmed | Modeling by nonlinear differential equations dissipative and conservative processes Paul E. Phillipson, Peter Schuster |
| title_short | Modeling by nonlinear differential equations |
| title_sort | modeling by nonlinear differential equations dissipative and conservative processes |
| title_sub | dissipative and conservative processes |
| topic | Differential equations, Nonlinear Differential equations, Partial Mathematical models Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd |
| topic_facet | Differential equations, Nonlinear Differential equations, Partial Mathematical models Nichtlineare Differentialgleichung |
| url | http://www.worldscientific.com/worldscibooks/10.1142/7262#t=toc |
| work_keys_str_mv | AT phillipsonpaule modelingbynonlineardifferentialequationsdissipativeandconservativeprocesses AT schusterpeter modelingbynonlineardifferentialequationsdissipativeandconservativeprocesses |