Abstract:
In this work, we study the behavior of a two-dimensional endomorphism which
admits only two attractors located at infinite distance. Using the
analytical expression of their common basin boundary, its fractal
dimension is numerically calculated by a variant of the
Box-counting algorithm. The log-log plots are presented and the
obtained numerical results are compared with the literature.
Key Words: Discrete dynamical system, Basin
boundary, Fractal dimension.
2000 Mathematics Subject Classification: Primary: 65Pxx;
Secondary: 28A80, 37L30.
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