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 |
|---|---|
| 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 |