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Analyzing the Synchronization of Chaotic Dynamical Systems with Mathematica: Part I

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Computational Science and Its Applications – ICCSA 2005 (ICCSA 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3482))

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Abstract

One of the most interesting and striking issues in dynamical systems is the possibility to synchronize the behavior of several (either identical or different) chaotic systems. This is the first of a series of two papers (both included in this volume) describing a new Mathematica package developed by the authors, ChaosSynchronization, for the analysis of chaotic synchronization. In particular, this first paper is devoted to the analysis of the Pecora-Carroll scheme (the first chaotic synchronization scheme reported in the literature) as well as a recent modification based on partial connections. The performance of the package is discussed by means of several illustrative and interesting examples. In our opinion, this package provides the users with an excellent, user-friendly computer tool for learning and analyzing this exciting topic within a unified (symbolic, numerical and graphical) framework.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics and Computational Sciences, University of Cantabria, Avda. de los Castros, s/n, E-39005, Santander, Spain

    A. Iglesias & A. Gálvez

Authors
  1. A. Iglesias
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  2. A. Gálvez
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, University of Perugia, via Vanvitelli, 1, I-06123, Perugia, Italy

    Osvaldo Gervasi

  2. Department of Computer Science, University of Calgary, 2500 University Drive N.W., T2N 1N4, Calgary, AB, Canada

    Marina L. Gavrilova

  3. William Norris Professor, Head of the Computer Science and Engineering, Department University of Minnesota, USA

    Vipin Kumar

  4. Department of Chemistry, University of Perugia, Via Elce di Sotto, 8, I-06123, Perugia, Italy

    Antonio Laganà

  5. Institute of High Performance Computing, IHCP, 1 Science Park Road, 01-01 The Capricorn, Singapore Science Park II, 117528, Singapore

    Heow Pueh Lee

  6. School of Computing, Soongsil University, Seoul, Korea

    Youngsong Mun

  7. Clayton School of IT, Monash University, 3800, Clayton, Australia

    David Taniar

  8. OptimaNumerics Ltd, Belfast, United Kingdom

    Chih Jeng Kenneth Tan

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© 2005 Springer-Verlag Berlin Heidelberg

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Iglesias, A., Gálvez, A. (2005). Analyzing the Synchronization of Chaotic Dynamical Systems with Mathematica: Part I. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2005. ICCSA 2005. Lecture Notes in Computer Science, vol 3482. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11424857_50

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  • DOI: https://doi.org/10.1007/11424857_50

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25862-9

  • Online ISBN: 978-3-540-32045-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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