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Misiurewicz points in one-dimensional quadratic maps

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  • Romera, M.
  • Pastor, G.
  • Montoya, F.

Abstract

Misiurewicz points are constituted by the set of unstable or repellent points, sometimes called the set of exceptional points. These points, which are preperiodic and eventually periodic, play an important role in the ordering of hyperbolic components of one-dimensional quadratic maps. In this work we use graphic tools to analyse these points, by measuring their preperiods and periods, and by ordering and classifying them.

Suggested Citation

  • Romera, M. & Pastor, G. & Montoya, F., 1996. "Misiurewicz points in one-dimensional quadratic maps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 517-535.
    • Handle: RePEc:eee:phsmap:v:232:y:1996:i:1:p:517-535
    DOI: 10.1016/0378-4371(96)00127-6
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    References listed on IDEAS

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    1. Charlotte Herman & John E. Yorke, 1982. "Seasonal borrowing privilege: profile of the Tenth Federal Reserve District," Economic Review, Federal Reserve Bank of Kansas City, vol. 67(Sep), pages 19-26.
    2. Linda Allen & Thom Thurston, 1988. "Cash‐futures arbitrage and forward‐futures spreads in the treasury bill market," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 8(5), pages 563-573, October.
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    Cited by:

    1. Pastor, G. & Romera, M. & Alvarez, G. & Montoya, F., 2001. "Misiurewicz point patterns generation in one-dimensional quadratic maps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 292(1), pages 207-230.
    2. Pastor, G. & Romera, M. & Álvarez, G. & Arroyo, D. & Montoya, F., 2007. "On periodic and chaotic regions in the Mandelbrot set," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 15-25.

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