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A Picture Book Of Two Families Of Cubic Maps

Author

Listed:
  • FERNANDO CABRAL

    (Laboratório de Óptica Quântica da UFSC, 88040–900 Florianópolis, SC, Brazil;
    School of Mathematics and Statistics, The University of Birmingham, Birmingham, B15 2TT, UK)

  • ALEXANDRE LAGO

    (Laboratório de Óptica Quântica da UFSC, 88040–900 Florianópolis, SC, Brazil)

  • JASON A. C. GALLAS

    (Laboratório de Óptica Quântica da UFSC, 88040–900 Florianópolis, SC, Brazil;
    Laboratory for Plasma Research, University of Maryland, College Park, MD 20742-3511, USA;
    HLRZ Supercomputing Center, KFA, D-5170 Jülich, Germany)

Abstract

This paper reports high-resolution isoperiodic diagrams for two model-families of dynamical systems characterised by one-dimensional maps depending on two parameters. We present a comparison of both diagrams, investigating the way in which initial conditions affect isoperiodic sets in the parameter space of both systems and the similarities between them. Although both models represent quite different dynamical systems, they are found to have many properties in common in their space of parameters.

Suggested Citation

  • Fernando Cabral & Alexandre Lago & Jason A. C. Gallas, 1993. "A Picture Book Of Two Families Of Cubic Maps," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 4(03), pages 553-568.
    • Handle: RePEc:wsi:ijmpcx:v:04:y:1993:i:03:n:s0129183193000550
    DOI: 10.1142/S0129183193000550
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    Cited by:

    1. S. Panda & K. Banerjee & M. Basu, 2005. "Determination Of Eoq Of Multi-Item Inventory Problems Through Nonlinear Goal Programming With Penalty Function," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 22(04), pages 539-553.
    2. John F. Moxnes & Kjell Hausken, 2009. "A Mathematical Model For Training Impulse And Lactate Influx And Outflux During Exercise," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 147-177.

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