عنوان

Encounter with Chaos :

(Number (ISBN

3642776256

(Number (ISBN

9783642776250

Number

b573694

Title Proper

Encounter with Chaos :

General Material Designation

[Book]

Other Title Information

Self-Organized Hierarchical Complexity in Semiconductor Experiments

First Statement of Responsibility

by Joachim Peinke, Jürgen Parisi, Otto E. Rössler, Ruedi Stoop.

Place of Publication, Distribution, etc.

Berlin, Heidelberg

Name of Publisher, Distributor, etc.

Springer Berlin Heidelberg

Date of Publication, Distribution, etc.

1992

Specific Material Designation and Extent of Item

(x, 289 pages 182 illustrations)

Text of Note

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.

Text of Note

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 we usually become bored and seek change, that is, nonlinearities. If we reflect for a while, we notice that our life and our perceptions are mainly determined by nonlinear phenomena, for example, events occurring suddenly and unexpectedly. One may be surprised by how long scientists tried to explain our world by models based on a linear ansatz. Due to the lack of typical nonlinear patterns, although everybody experienced nonlinearities, nobody could classify them and, thus, · study them further. The discoveries of the last few decades have finally provided access to the world of nonlinear phenomena and have initiated a unique inter disciplinary field of research: nonlinear science. In contrast to the general tendency of science to become more branched out and specialized as the result of any progress, nonlinear science has brought together many different disciplines. This has been motivated not only by the immense importance of nonlinearities for science, but also by the wonderful simplicity ohhe concepts. Models like the logistic map can be easily understood by high school students and have brought revolutionary new insights into our scientific under standing.

Distribution (Probability theory)

Mathematical physics.

Physics.

Class number

Book number

by Joachim Peinke, Jürgen Parisi, Otto E. Rössler, Ruedi Stoop.

Joachim Peinke

Jürgen Parisi

Otto E Rössler

Ruedi Stoop

Electronic name

[Book]

Y