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

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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

This work concerns the synchronization of chaotic dynamical systems by using the program Mathematica and follows up a previous one (also included in this volume) devoted to the same topic [2]. In particular, this second paper classifies and illustrates the wide range of chaotic synchronization phenomena. Some examples of each kind are briefly analyzed in this paper with the help of a Mathematica package already introduced in the previous paper.

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References

  1. Guémez, J., Martín, C., Matías, M.A.: Approach to the synchronized state of some driving methods. Physical Review E 55, 124–134 (1997)

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  2. Iglesias, A., Gálvez, A.: Analyzing the Synchronization of Chaotic Dynamical Systems with Mathematica: Part I. In: Gervasi, O., Gavrilova, M.L., Kumar, V., Laganá, A., Lee, H.P., Mun, Y., Taniar, D., Tan, C.J.K. (eds.) ICCSA 2005. LNCS, vol. 3482, pp. 472–481. Springer, Heidelberg (2005)

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  3. Sprott, J.C.: Some simple chaotic flows. Phys. Rev. E. 50, 647–650 (1994)

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  4. Krawiecki, A., Matyjaskiewicz, S.: Generalizations of the concept of marginal synchronization of chaos. Chaos, Solitons and Fractals 11(9), 1445–1458 (2000)

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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 II. 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_51

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  • DOI: https://doi.org/10.1007/11424857_51

  • 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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