Deterministic Chaos
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Deterministic Chaos: An Introduction

Deterministic Chaos: An Introduction

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About the Book

Table of Contents:
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.


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Product Details
  • ISBN-13: 9783527293155
  • Publisher: Wiley-VCH Verlag GmbH
  • Publisher Imprint: Wiley-VCH Verlag GmbH
  • Edition: Revised edition
  • Sub Title: An Introduction
  • Width: 66 mm
  • ISBN-10: 3527293159
  • Publisher Date: 09 Mar 1995
  • Binding: Paperback
  • Height: 94 mm
  • Weight: 680 gr


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Deterministic Chaos: An Introduction
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