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1.

図書
図書
1. Order out of chaos : man's new dialogue with nature
Ilya Prigogine and Isabelle Stengers ; foreword by Alvin Toffler
出版情報: London : Heinemann, 1984  xxxi,349p ; 23cm
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2.

図書
図書
2. Exploring complexity : an introduction (pbk)
Grégoire Nicolis, Ilya Prigogine
出版情報: New York : W.H. Freeman, c1989  xi, 313 p. ; 25 cm
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目次情報: 続きを見る
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：
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