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Operating with External Arguments of Douady and Hubbard

Author

Listed:
  • G. Pastor
  • M. Romera
  • G. Alvarez
  • J. Nunez
  • D. Arroyo
  • F. Montoya

Abstract

The external arguments of the external rays theory of Douady and Hubbard is a valuable tool in order to analyze the Mandelbrot set, a typical case of discrete dynamical system used to study nonlinear phenomena. We suggest here a general method for the calculation of the external arguments of external rays landing at the hyperbolic components root points of the Mandelbrot set. Likewise, we present a general method for the calculation of the external arguments of external rays landing at Misiurewicz points.

Suggested Citation

  • G. Pastor & M. Romera & G. Alvarez & J. Nunez & D. Arroyo & F. Montoya, 2007. "Operating with External Arguments of Douady and Hubbard," Discrete Dynamics in Nature and Society, Hindawi, vol. 2007, pages 1-17, December.
    • Handle: RePEc:hin:jnddns:045920
    DOI: 10.1155/2007/45920
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    References listed on IDEAS

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    1. Pastor, G. & Romera, M. & Montoya, F., 1996. "On the calculation of Misiurewicz patterns in one-dimensional quadratic maps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 536-553.
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