Chapter 13. Tools for Detecting and Analyzing Generalized Synchronization of Chaos in Experiment

  1. Heinz G. Schuster
  1. A. Kittel1,
  2. J. Parisi1 and
  3. K. Pyragas2

Published Online: 31 MAY 2006

DOI: 10.1002/3527607455.ch13

Handbook of Chaos Control

Handbook of Chaos Control

How to Cite

Kittel, A., Parisi, J. and Pyragas, K. (2006) Tools for Detecting and Analyzing Generalized Synchronization of Chaos in Experiment, in Handbook of Chaos Control (ed H. G. Schuster), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527607455.ch13

Editor Information

  1. University of Kiel, Institute of Theoretical Physics, Leibnizstr. 15, D-24098 Kiel, Germany

Author Information

  1. 1

    University of Oldenburg, Oldenburg, Germany

  2. 2

    Semiconductor Physics, Institute and Vilnius Pedagogical University, Vilnius, Lithuania

Publication History

  1. Published Online: 31 MAY 2006
  2. Published Print: 23 FEB 1999

ISBN Information

Print ISBN: 9783527294367

Online ISBN: 9783527607457

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Keywords:

  • tools;
  • generalized synchronization;
  • synchronization manifold;
  • numerical examples;
  • Mackey-Glass system

Summary

This chapter contains sections titled:

  • Introduction

  • Generalized Synchronization of Chaos

  • Weak and Strong Synchronization

    • Properties of the Synchronization Manifold

    • Numerical Examples

  • On-Off Intermittency

  • Time Series Analysis

    • Algorithm for Estimating CLEs

    • Examples

  • Experimental Examples

    • One-Way Coupled Double-Scroll Oscillators

    • Double-scroll Oscillator Driven with the Mackey-Glass System

  • Conclusions