Nonlinear Wave Dynamics: Complexity and Simplicity
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1997
|
| Schriftenreihe: | Kluwer Texts in the Mathematical Sciences
17 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc |
| Beschreibung: | 1 Online-Ressource (XIV, 185 p) |
| ISBN: | 9789401588911 9789048148332 |
| ISSN: | 0927-4529 |
| DOI: | 10.1007/978-94-015-8891-1 |
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| spelling | Engelbrecht, Jüri Verfasser aut Nonlinear Wave Dynamics Complexity and Simplicity by Jüri Engelbrecht Dordrecht Springer Netherlands 1997 1 Online-Ressource (XIV, 185 p) txt rdacontent c rdamedia cr rdacarrier Kluwer Texts in the Mathematical Sciences 17 0927-4529 At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc Engineering Differential equations, partial Mathematics Materials Vibration Vibration, Dynamical Systems, Control Partial Differential Equations Continuum Mechanics and Mechanics of Materials Applications of Mathematics Ingenieurwissenschaften Mathematik Wellenbewegung (DE-588)4467376-0 gnd rswk-swf Nichtlineare Welle (DE-588)4042102-8 gnd rswk-swf Nichtlineare Welle (DE-588)4042102-8 s Wellenbewegung (DE-588)4467376-0 s 1\p DE-604 https://doi.org/10.1007/978-94-015-8891-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Engelbrecht, Jüri Nonlinear Wave Dynamics Complexity and Simplicity Engineering Differential equations, partial Mathematics Materials Vibration Vibration, Dynamical Systems, Control Partial Differential Equations Continuum Mechanics and Mechanics of Materials Applications of Mathematics Ingenieurwissenschaften Mathematik Wellenbewegung (DE-588)4467376-0 gnd Nichtlineare Welle (DE-588)4042102-8 gnd |
| subject_GND | (DE-588)4467376-0 (DE-588)4042102-8 |
| title | Nonlinear Wave Dynamics Complexity and Simplicity |
| title_auth | Nonlinear Wave Dynamics Complexity and Simplicity |
| title_exact_search | Nonlinear Wave Dynamics Complexity and Simplicity |
| title_full | Nonlinear Wave Dynamics Complexity and Simplicity by Jüri Engelbrecht |
| title_fullStr | Nonlinear Wave Dynamics Complexity and Simplicity by Jüri Engelbrecht |
| title_full_unstemmed | Nonlinear Wave Dynamics Complexity and Simplicity by Jüri Engelbrecht |
| title_short | Nonlinear Wave Dynamics |
| title_sort | nonlinear wave dynamics complexity and simplicity |
| title_sub | Complexity and Simplicity |
| topic | Engineering Differential equations, partial Mathematics Materials Vibration Vibration, Dynamical Systems, Control Partial Differential Equations Continuum Mechanics and Mechanics of Materials Applications of Mathematics Ingenieurwissenschaften Mathematik Wellenbewegung (DE-588)4467376-0 gnd Nichtlineare Welle (DE-588)4042102-8 gnd |
| topic_facet | Engineering Differential equations, partial Mathematics Materials Vibration Vibration, Dynamical Systems, Control Partial Differential Equations Continuum Mechanics and Mechanics of Materials Applications of Mathematics Ingenieurwissenschaften Mathematik Wellenbewegung Nichtlineare Welle |
| url | https://doi.org/10.1007/978-94-015-8891-1 |
| work_keys_str_mv | AT engelbrechtjuri nonlinearwavedynamicscomplexityandsimplicity |