### Abstract

Recent studies have revealed that riddled fractal sets, sets whose conventionally defined fractal dimensions are integers; occur commonly in chaotic dynamical systems. We demonstrate that these exotic fractal sets exhibit a sign-singular scaling behavior with nontrivial scaling exponents. The exponents may then be used to characterize the sets. Numerical examples using both a low-dimensional map and a coupled map lattice are given.

Original language | English |
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Pages (from-to) | 1371-1374 |

Number of pages | 4 |

Journal | Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 53 |

Issue number | 2 |

Publication status | Published - Feb 1996 |

## Cite this

Lai, Y. C., Grebogi, C., & Lai, Y-C. (1996). Characterizing riddled fractal sets.

*Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,*53*(2), 1371-1374.