Exploring complexity : an introduction

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Exploring complexity : an introduction / Grégoire Nicolis, Ilya Prigogine

資料種別:

図書

出版情報:

New York : W.H. Freeman, c1989

形態:

xi, 313 p. ; 25 cm

著者名:

ISBN:

9780716718598 [0716718596]
9780716718604 [071671860X] (pbk)

書誌ID:

BA07472340

子書誌情報

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書誌詳細

注記:

Includes index

主題:

Complexity (Philosophy); Science--Philosophy

言語:

英語

目次情報:

Preface

Prologue: Science in an Age of Transition

Complexity In Nature / 1：

What is complexity? / 1.1：

Self-organization in physico-chemical systems: the birth of complexity / 1.2：

Thermal convection, a prototype of self-organization phenomena in physics / 1.3：

Self-organization phenomena in chemistry / 1.4：

Physico-chemical complexity and algorithmic complexity / 1.5：

Some further examples of complex behavior on our scale / 1.6：

Again, biological systems / 1.7：

Complexity at the planetary and the cosmic scale / 1.8：

Forces versus correlations--a summing up / 1.9：

The Vocabulary Of Complexity / 2：

Conservative systems / 2.1：

Dissipative systems / 2.2：

Mechanical and thermodynamic equilibrium. Nonequilibrium constraints / 2.3：

Nonlinearity and feedbacks / 2.4：

The many facets of the second law / 2.5：

Stability / 2.6：

Bifuraction and symmetry breaking / 2.7：

Order and correlations / 2.8：

Dynamical Systems And Complexity / 3：

The geometry of phase space / 3.1：

Measures in phase space / 3.2：

Integrable conservative systems / 3.3：

Bifurcation in simple dissipative systems: search for archetypes of complexity / 3.4：

Dissipative systems in two-dimensional phase spaces: limit cycles / 3.5：

Reduction to low-dimensional systems: order parameters and normal forms / 3.6：

Phase space revisited: topological manifolds and fractals / 3.7：

Nonintegrable conservative systems: the new mechanics / 3.8：

A model of unstable motion: the horseshoe / 3.9：

Dissipative systems in multidimensional phase spaces. Chaos and strange attractors / 3.10：

Spatially distributed systems. Symmetry-breaking bifurcations and morphogenesis / 3.11：

Discrete dynamical systems. Cellular automata / 3.12：

Asymmetry, selection, and information / 3.13：

Randomness And Complexity / 4：

Fluctuations and probabilistic description / 4.1：

Markov processes. Master equation / 4.2：

Markov processes and irreversibility. Information entropy and physical entropy / 4.3：

Spatial correlations and critical behavior / 4.4：

Time-dependent behavior of the fluctuations. The kinetics and the time scales of self-organization / 4.5：

Sensitivity and selection / 4.6：

Symbolic dynamics and information / 4.7：

Generation of asymmetric, information-rich structures / 4.8：

Once again, algorithmic complexity / 4.9：

Toward A Unified Formulation Of Complexity / 5：

General properties of conserved dynamical systems / 5.1：

General properties of dissipative dynamical systems / 5.2：

The search for unification / 5.3：

Probability and dynamics / 5.4：

The Baker transformation / 5.5：

Manifolds with broken time symmetry / 5.6：

The symmetry-breaking transformation [Lambda] / 5.7：

Gibbs ensembles and Boltzmann ensembles / 5.8：

Kinetic theory / 5.9：

Resonance and light-matter interaction / 5.10：

Concluding remarks / 5.11：

Complexity And The Transfer Of Knowledge / 6：

Nonlinear dynamics in far-from-equilibrium conditions and the modeling of complexity / 6.1：

Materials science / 6.2：

Threshold phenomena in cellular dynamics / 6.3：

Modeling climatic change and variability / 6.4：

Probabilistic behavior and adaptive strategies in social insects / 6.5：

Self-organization in human systems / 6.6：

Linear Stability Analysis / Appendix 1：

Basic equations / A1.1：

The principle of linearized stability / A1.2：

The characteristic equation / A1.3：

Illustrations / A1.4：

Systems exhibiting chaotic dynamics / A1.5：

Bifurcation Analysis / Appendix 2：

General properties / A2.1：

Expansion of the solution in perturbation series / A2.2：

The bifurcation equations / A2.3：

Perturbation Of Resonant Motions In Nonintegrable Conservative Systems / Appendix 3：

The twist map / A3.1：

Effect of the perturbation in the case of rational rotation numbers / A3.2：

Homoclinic points / A3.3：

Reconstruction Of The Dynamics Of Complex Systems From Time Series Data. Application To Climatic Variability / Appendix 4：

Introductory comments / A4.1：

Theoretical background for data analysis / A4.2：

The climatic attractor / A4.3：

Conclusion and perspectives / A4.4：

Primordial Irreversible Processes / Appendix 5：

Introduction / A5.1：

Standard cosmological model / A5.2：

Black holes / A5.3：

The role of irreversibility / A5.4：

Suggestions for Further Reading

Index

Preface

Prologue: Science in an Age of Transition

Complexity In Nature / 1：

What is complexity? / 1.1：

Self-organization in physico-chemical systems: the birth of complexity / 1.2：

Thermal convection, a prototype of self-organization phenomena in physics / 1.3：

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