Deterministic chaos : an introduction

著者

• Schuster, Heinz Georg

書誌事項

Deterministic chaos : an introduction

Heinz Georg Schuster

VCH, c1995

3rd augm. ed

• hardcover
• softcover

注記

Includes bibliographical references and index

内容説明・目次

内容説明

This third edition has been completely revised and updated. It includes a new chapter on "controlling chaos".

目次

• Part 1 Experiments and simple methods: experimental detection of deterministic chaos
• the periodically kicked rotator. Part 2 Piecewise linear maps and deterministic chaos: the Bernoulli shift
• characterization of chaotic motion
• deterministic diffusion. Part 3 Universal behaviour of quadratic maps: parameter dependence of the iterates
• pitchfork bifurcations and the doubling transformation
• self-similarity, universal power spectrum and the influence of external noise
• behaviour of the logistic map for "r-alpha is less than or equal to r"
• parallels between period doubling and phase transitions
• experimental support for the bifurcation route. Part 4 The intermittency route to chaos: mechanisms for intermittency
• renormalization-group treatment of intermittency
• intermittency and l/f-Noise
• experimental observation of the intermittency route. Part 5 Strange attractors in dissipative dynamical systems: introduction and definition of strange attractors
• the Kolmogorov entropy
• characterization of the attractor by a measured signal
• pictures of strange attractors and fractal boundaries. Part 6 The transition from quasiperiodicity to chaos: strange attractors and the onset of turbulence
• universal properties of the transition from quasiperiodicity to chaos
• experiments and circle maps
• routes to chaos. Part 7 Regular and irregular motion in conservative systems: coexistence of regular and irregular motion
• strongly irregular motion and ergodicity. Part 8 Chaos in quantum systems?: the quantum cat map
• a quantum particle in a stadium
• the kicked quantum rotator. Part 9 Controlling chaos: stabilization of unstable orbits
• parametric resonance from unstable periodic orbits.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA2537120X
• ISBN:
  • 3527290885
  • 3527293159
• LCCN: 95005954
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Weinheim, Federal Republic of Germany ; New York
• ページ数/冊数: xxvii, 291 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QC174.84
  • DC20 : 530/.01/185
  • NDC8 : 421.1
• 件名:
  • LCSH : Deterministic chaos