Information and Self-Organization (eBook)

A Macroscopic Approach to Complex Systems

Hermann Haken (Autor)

eBook Download: PDF

2006 | 3rd enlarged ed. 2006
XIV, 258 Seiten
Springer Berlin (Verlag)
978-3-540-33023-3 (ISBN)

Infos

The widespread interest this book has found among professors, scientists and stu­ dents working in a variety of fields has made a new edition necessary. I have used this opportunity to add three new chapters on recent developments. One of the most fascinating fields of modern science is cognitive science which has become a meet­ ing place of many disciplines ranging from mathematics over physics and computer science to psychology. Here, one of the important links between these fields is the concept of information which, however, appears in various disguises, be it as Shan­ non information or as semantic information (or as something still different). So far, meaning seemed to be exorcised from Shannon information, whereas meaning plays a central role in semantic (or as it is sometimes called 'pragmatic') information. In the new chapter 13 it will be shown, however, that there is an important interplay between Shannon and semantic information and that, in particular, the latter plays a decisive role in the fixation of Shannon information and, in cognitive processes, al­ lows a drastic reduction of that information. A second, equally fascinating and rapidly developing field for mathematicians, computer scientists and physicists is quantum information and quantum computa­ tion. The inclusion of these topics is a must for any modern treatise dealing with in­ formation. It becomes more and more evident that the abstract concept of informa­ tion is inseparably tied up with its realizations in the physical world.

Inhalt

Preface to the Third Edition 7
Preface to the Second Edition 8
Preface to the First Edition 9
Contents 11
1. The Challenge of Complex Systems 15
2. From the Microscopic to the Macroscopic World... 50
3. ... and Back Again: The Maximum Information Principle ( MIP) 67
4. An Example from Physics: Thermodynamics 79
5. Application of the Maximum Information Principle to Self- Organizing Systems 83
6. The Maximum Information Principle for Nonequilibrium Phase Transitions: Determination of Order Parameters, Enslaved Modes, and Emerging Patterns 88
7. Information, Information Gain, and Efficiency of Self- Organizing Systems Close to Their Instability Points 95
8. Direct Determination of Lagrange Multipliers 129
9. Unbiased Modeling of Stochastic Processes: How to Guess Path Integrals, Fokker- Planck Equations and Langevin- Ito Equations 139
10. Application to Some Physical Systems 149
11. Transitions Between Behavioral Patterns in Biology. An Example: Hand Movements 154
12. Pattern Recognition. Unbiased Guesses of Processes: Explicit Determination of Lagrange Multipliers 167
13. Information Compression in Cognition: The Interplay between Shannon and Semantic Information 209
14. Quantum Systems 217
15. Quantum Information 230
16. Quantum Computation 236
17. Concluding Remarks and Outlook 256
References 258
Subject Index 265

Produkt-Details

• Erscheint lt. Verlag: 14.9.2006
• Reihe/Serie: Springer Series in Synergetics
• Reihe/Serie: Springer Series in Synergetics
• Zusatzinfo: XIV, 258 p.
• Verlagsort: Berlin
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik
• Themenwelt: Medizin / Pharmazie
• Themenwelt: Naturwissenschaften ► Biologie
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
• Themenwelt: Technik
• Schlagworte: chaos theory • Cognition • Complex System • Complex Systems • Entropy • Helium-Atom-Streuung • Information • Information Theory • Quantum information • REM • Self-Organisation • Shannon • stem • Synergetics • thermodynamics
• ISBN-10: 3-540-33023-2 / 3540330232
• ISBN-13: 978-3-540-33023-3 / 9783540330233