Nonlinearities in Action: Oscillations Chaos Order Fractals
Autor Andrei V. Gaponov-Grekhov Traducere de E. F. Hefter Autor Mikhail I. Rabinovich Traducere de N. Krivatkinaen Limba Engleză Paperback – 23 noi 2011
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Specificații
ISBN-13: 9783642752940
ISBN-10: 3642752942
Pagini: 204
Ilustrații: XI, 191 p. 28 illus.
Dimensiuni: 193 x 270 x 11 mm
Ediția:1992
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3642752942
Pagini: 204
Ilustrații: XI, 191 p. 28 illus.
Dimensiuni: 193 x 270 x 11 mm
Ediția:1992
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
Lower undergraduateCuprins
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.