Encounter with Chaos Self-Organized Hierarchical Complexity in Semiconductor Experiments / by Joachim Peinke, Jürgen Parisi, Otto E. Rössler, Ruedi Stoop.

Our life is a highly nonlinear process. It starts with birth and ends with death; in between there are a lot of ups and downs. Quite often, we believe that stable and steady situations, probably easy to capture by linearization, are paradisiacal, but already after a short period of everyday routine...

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Bibliographic Details
Main Authors: Peinke, Joachim (Author), Parisi, Jürgen (Author), Rössler, Otto E. (Author), Stoop, Ruedi (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992.
Edition:1st ed. 1992.
Series:Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Introductory Remarks
  • Problems
  • 2 Semiconductor Physics
  • 2.1 Fundamentals of Nonlinear Dynamics
  • 2.2 Recent Experimental Progress
  • 2.3 Model Experimental System
  • 2.4 Experimental Results
  • Problems
  • 3 Nonlinear Dynamics
  • 3.1 Basic Ideas and Definitions
  • 3.2 Fixed Points
  • 3.3 Periodic Oscillations
  • 3.4 Quasiperiodic Oscillations
  • 3.5 Chaotic Oscillations and Hierarchy of Dynamical States
  • 3.6 Spatio-Temporal Dynamics
  • Problems
  • 4 Mathematical Background
  • 4.1 Basic Concepts in the Theory of Dynamical Systems
  • 4.2 Scaling Behavior of Attractors of Dissipative Dynamical Systems
  • 4.3 Generalized Dimensions, Lyapunov Exponents, Entropies
  • 4.4 Evaluation of Experimental Systems
  • 4.5 High-Dimensional Systems
  • 4.6 Lyapunov Exponents, Rotation Numbers and the Degree of Mappings
  • 4.7 Conclusions
  • Problems
  • References.