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Introduction

Essentials of Nonlinear Dynamics / Part I：

Nonlinear mappings / 1：

Probability in the theory of chaotic systems / 2：

Symbolic dynamics / 3：

Essentials of Information Theory and Thermodynamics / Part II：

The Shannon information / 4：

Further information measures / 5：

Generalized canonical distributions / 6：

The fundamental thermodynamic relations / 7：

Spin systems / 8：

Thermostatistics of Multifractals / Part III：

Escort distributions / 9：

Fractals / 10：

Multifractals / 11：

Bit cumulants in multifractal distribution / 12：

Thermodynamics of a finite volume / 13：

Dynamical Analysis of Chaotic Systems / Part IV：

Statistics of dynamical symbol sequences / 14：

Expansion rate and information loss / 15：

The topological pressure / 16：

Transfer operator methods / 17：

Repellers and escape / 18：

Advanced Thermodynamics / Part V：

Thermodynamics of expanding maps / 19：

Thermodynamics with several intensive parameters / 20：

Phase transitions / 21：

Introduction

Essentials of Nonlinear Dynamics / Part I：

Nonlinear mappings / 1：

目次情報: 続きを見る

Foreword

Introduction

Flows in phase space / 1：

Introduction to deterministic chaos / 2：

Conservative synamical systems / 3：

Fractals and fragmentation in phase space / 4：

The way to chaos by instability of quasiperiodic orbits / 5：

The way to chaos by period doubling / 6：

Multifractals / 7：

Statistical physics on chaotic symbol sequences / 8：

Universal chaotic dynamics / 9：

Intermittence in fluid dynamics / 10：

From flows to automata: chaotic systems as completely deterministic machines / 11：

References

Index

Foreword

Introduction

Flows in phase space / 1：

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