Encounter with Chaos

Self-Organized Hierarchical Complexity in Semiconductor Experiments

Joachim Peinke, Jürgen Parisi, Otto E. Rössler, Ruedi Stoop (Autoren)

Buch | Softcover

X, 289 Seiten

1992 | 1. Softcover reprint of the original 1st ed. 1992
Springer Berlin (Verlag)
978-3-540-55845-3 (ISBN)

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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.

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.

Erscheint lt. Verlag	10.12.1992
Zusatzinfo	X, 289 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	468 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Bifurcation • Chaos • Dynamical system • Dynamical Systems • Entropy • Evolution • Halbleiter • Invariant • Mechanics • Nichtlineares System • Nichtlineare Systeme • Nonlinear Dynamics • Probability • semiconductor • Semiconductor physics • Solution • Statistical Mechanics • Variance
ISBN-10	3-540-55845-4 / 3540558454
ISBN-13	978-3-540-55845-3 / 9783540558453
Zustand	Neuware