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1.

図書

図書
edited by C. Nicolis and G. Nicolis
出版情報: Dordrecht ; Tokyo : D. Reidel Pub. Co. , Norwell, MA, U.S.A. : Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, c1987  xix, 578 p. ; 25 cm
シリーズ名: NATO ASI series ; ser. C . Mathematical and physical sciences ; v. 192
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2.

図書

図書
G. Nicolis
出版情報: Cambridge ; New York : Cambridge University Press, 1995  xv, 254 p. ; 25-26 cm
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目次情報: 続きを見る
Preface
Nonlinear behavior in the physical sciences and biology: some typical examples / 1:
Quantitative formulation / 2:
Dynamical systems with a finite number of degrees of freedom / 3:
Linear stability analysis of fixed points / 4:
Nonlinear behavior around fixed points: bifurcation analysis / 5:
Spatially distributed systems, broken symmetries, pattern formation / 6:
Chaotic dynamics / 7:
Appendices
References
Index
Preface
Nonlinear behavior in the physical sciences and biology: some typical examples / 1:
Quantitative formulation / 2:
3.

図書

図書
edited by G. Nicolis and F. Baras
出版情報: Dordrecht ; Boston : D. Reidel , Hingham, MA : Sold and distributed in the U.S.A. and Canada by Kluwer Academic, c1984  xxvi, 420 p. ; 25 cm
シリーズ名: NATO ASI series ; ser. C . Mathematical and physical sciences ; no. 120
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4.

図書

図書
edited by G. Nicolis
出版情報: New York : Wiley, c1984  xvi, 286 p. ; 24 cm
シリーズ名: Advances in chemical physics / edited by I. Prigogine and Stuart A. Rice ; v. 55
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5.

図書

図書
edited by G. Nicolis and R. Lefever
出版情報: New York : Wiley, c1975  x, 390 p. ; 24 cm
シリーズ名: Advances in chemical physics / edited by I. Prigogine ; v. 29
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6.

図書

図書
edited by G. Nicolis, G. Dewel and J.W. Turner
出版情報: New York ; Chichester : Wiley, c1981  xix, 374 p. ; 24 cm
シリーズ名: Nonequilibrium problems in the physical sciences and biology ; v.1
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7.

図書

図書
G. Nicolis, I. Prigogine
出版情報: New York : Wiley, c1977  xii, 491 p. ; 24 cm
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目次情報: 続きを見る
Conservation Equations
Thermodynamics of Irreversible Processes: The Linear Region
Nonlinear Thermodynamics
Systems Involving Chemical Reactions and Diffusion-Stability
Mathematical Tools
Simple Autocatalytic Models
Some further Aspects of Dissipative Structures and Self-Organization Phenomena
General Comments
Birth and Death Descriptions of Fluctuations: Nonlinear Master Equation
Self-Organization in Chemical Reactions
Regulatory Processes at the Subcellular Level
Regulatory Processes at the Cellular Level
Cellular Differentiation and Patter Formation
Thermodynamics of Evolution
Thermodynamics of Ecosystems
Perspectives and Concluding Remarks
References
Index
Conservation Equations
Thermodynamics of Irreversible Processes: The Linear Region
Nonlinear Thermodynamics
8.

図書

図書
G. ニコリス, I. プリゴジン [著] ; 安孫子誠也, 北原和夫訳
出版情報: 東京 : みすず書房, 1993.8  xii, 338p ; 22cm
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9.

図書

図書
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:
10.

図書

図書
G・ ニコリス, I・ プリゴジン [著] ; 安孫子誠也, 北原和夫訳
出版情報: 東京 : みすず書房, 2017.4  xii, 338p ; 22cm
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目次情報: 続きを見る
第1章 : 自然界における複雑性
第2章 : 複雑性の用語
第3章 : 動力学系と複雑性
第4章 : 乱雑性と複雑性
第5章 : 複雑性の統一理論に向けて
第6章 : 複雑性と知識の移動
第1章 : 自然界における複雑性
第2章 : 複雑性の用語
第3章 : 動力学系と複雑性
概要: “複雑性の科学”というパラダイムを、散逸構造理論の研究者が論じた本格的入門書。カオス、フラクタル、自己組織化などの概念から、宇宙・生命・社会の秩序形成過程を探り、新しい自然観・世界観を展望する。
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