Complexity and Diversity

1. Front Matter

   Pages II-X

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2. Overview

   1. Front Matter

      Pages 1-1

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   2. Complexity and Diversity — An Introduction

      • E. R. Nakamura, K. Kudo

      Pages 3-9

   3. Synergetics and Complexity: Emerging New Science and Civilization at the Turn of the Century

      • Klaus Mainzer

      Pages 10-29

   4. The set of boundary points as a complex system

      • Masaya Yamaguti

      Pages 30-34

3. Mathematical Systems

   1. Front Matter

      Pages 35-35

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   2. On the Complexity of Logic-Dynamics in Brain

      • Ichiro Tsuda

      Pages 37-45

   3. Emergence of Recursivity through Isologous Diversification

      • Kunihiko Kaneko

      Pages 46-51

   4. Pattern Recalling Property of Neural Network Modules Integrated by Chaos

      • Akira Sano

      Pages 52-54

   5. A complexity measure of the Internet

      • Osamu Yamakawa, Takashi Mori, Ryoku Nakamura, Kiyoshi Kudo, Yoichi Tamagawa, Hidetoshi Suzuki

      Pages 55-57

   6. Complexity and Diversity for the Rule Changeable Elementary Cellular Automata

      • Takashi Mori, Kiyoshi Kudo, Yoichi Tamagawa, Ryouku Nakamura, Osamu Yamakawa, Hidetoshi Suzuki et al.

      Pages 58-60

   7. Generation of Relations between Individuals Using a Stochastic Automaton and the Theory of Change of Attitudes

      • Tatsuya Nomura

      Pages 61-63

   8. Dynamic Learning and Retrieving Scheme Based on Chaotic Neuron Model

      • Haruhiko Nishimura, Naofumi Katada, Yoshihito Fujita

      Pages 64-66

   9. Genetic evolution of the subsumption architecture which controls an autonomous mobile robot

      • Ryoichi Odagiri, Taku Naito, Yutaka Matsunaga, Tatsuya Asai, Kazuyuki Murase

      Pages 67-69

   10. On the generation and dissipation of coherent structure in two-dimensional vortices

       • Yoshio Ishii

       Pages 70-72

   11. Dynamics of two coupled inverted pendulums

       • Hidetoshi Suzuki, Kiyoshi Kudo, Yoichi Tamagawa, Ryouku Nakamura, Osamu Yamakawa, Tadayuki Uesugi et al.

       Pages 73-75

   12. Hamiltonian dynamics and statistics of relaxations

       • Yoshiyuki Y. Yamaguchi

       Pages 76-78

4. Physical Systems

   1. Front Matter

      Pages 79-79

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   2. Complexity in a Molecular String: Hierarchical Structure as Is Exemplified in a DNA Chain

      • Kenichi Yoshikawa

      Pages 81-90

   3. Fractal distributions — from the real world to the information world

      • Hideki Takayasu, Misako Takayasu, Takamitsu Sato

      Pages 91-98

Nonlinear complex open systems show great diversity in the process of self-organization, and that diversity increases as complexity increases. The measurement of complexity and the origins of the diversity of such complex systems are the focus of interdisciplinary studies extending across a wide range of scientific disciplines that include applied mathematics, physics, chemistry, biology, psychology, ecology, sociology, and economics. Previous investigations have concentrated either on complexity or on diversity, but not both. This volume makes clear the relation between complexity and diversity with examples drawn from various disciplines. Compiles here are presentations from the Complexity and Diversity workshop held in Fugue, Japan, in August 1996. The contributions are the results of research in mathematical systems, physical systems, living systems, and social systems, and are contained in the four corresponding sections of the book. Mathematical expressions for the theory of complexity as a fundamental method along with realistic examples for application of systematic methods provide the reader with ready access to the latest topics in complex systems.

• applied mathematics
• bifurcation
• biology
• chemistry
• complex system
• complex systems
• complexity
• distribution
• ecology
• fractal
• living systems
• psychology
• quantum chaos
• stability
• system

• Department of Bioscience, Fukui Prefectural University, Matsuoka-cho, Yoshida-gun, Fukui, 910-11, Japan

  Eiichi Ryoku Nakamura

• Department of Applied Physics, Fukui University, Fukui, 910, Japan

  Kiyoshi Kudo, Yoichi Tamagawa

• Center of Information Science, Fukui Prefectural University, Matsuoka-cho, Yoshida-gun, Fukui, 910-11, Japan

  Osamu Yamakawa

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