Nonlinearities in Action
Springer Berlin (Verlag)
978-3-642-75294-0 (ISBN)
Order and disorder in nature, the birth of chaos in deterministic systems: This textbook provides a concise and comprehensive overview on nonlinear phenomena addressing all natural scientists. It also contains a beautifully illustrated color insert easily accessible to interested laypersons. Thus it is suitable for leisure reading and also for an introductory (under-)graduate course in nonlinear physics.
1. Introduction.- 2. Nonlinear Oscillations and Waves. Classical Results.- 2.1 Oscillators.- 2.2 Solitons.- 2.3 Self-Excited Oscillations.- 2.4 Bifurcations.- 2.5 Modulation.- 3. Chaos.- 3.1 Historical Remarks.- 3.2 Marble in an Oscillating Chute.- 3.3 Stochastic Self-Excited Oscillations.- 3.4 Chaos and Noise.- 4. Structures.- 4.1 Order and Disorder - Examples.- 4.2 Attractors and Spatial Patterns.- 4.3 Self-Structures.- 4.4 Attractors - Memory - Learning.- 5. Turbulence.- 5.1 Prehistory.- 5.2 Basic Models of Dynamic Theory.- 5.3 Turbulence and Structures in Two-Dimensional Fields.- 5.4 Spatial Evolution of Turbulence.- 5.5 Discussion.- 6. Nonlinear Physics - Chaos and Order.- 6.1 The Where and the How.- 6.2 Randomness Born out of Nonrandomness.- 6.3 An Unstable Path and Steady Motion. Are They Incompatible?.- 6.4 Does Chance Rule the World?.- 6.5 What is the Character of Nature? Integer or Fractal?.- 6.6 Fractal Fingers.- 6.7 Self-Organizing Structures.- 6.8 Singles.- 6.9 The New Life of an Old Problem.- 6.10 Spatial Evolution of Disorder.- 6.11 What Does Your Camera See When It is Watching TV?.- 6.12 Multistability and Memory.- 6.13 Nonlinear Dynamics in Society.- Color Plates.- Literature.- Acknowledgements of the Figures.
Erscheint lt. Verlag | 23.11.2011 |
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Übersetzer | E.F. Hefter, N. Krivatkina |
Zusatzinfo | XI, 191 p. 28 illus. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 193 x 270 mm |
Gewicht | 453 g |
Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
Naturwissenschaften ► Physik / Astronomie ► Thermodynamik | |
Schlagworte | Chaos • Fractals • Fraktale • Nichtlineare Dynamik • structure generation • Strukturbildung • Struktur (Physik) • Turbulence • Turbulenz |
ISBN-10 | 3-642-75294-2 / 3642752942 |
ISBN-13 | 978-3-642-75294-0 / 9783642752940 |
Zustand | Neuware |
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