Abstract
Self-similarity in binary quasiperiodic sequences generated by a projection method is shown to exist when and only when it is associated with quadratic irrational numbers and the explicit self-similarity transformation for an arbitrary quadratic number is obtained. The self-similarity transformation is shown not to be reducible to the simplest form for a class of quadratic numbers.
| Original language | English |
|---|---|
| Article number | 030 |
| Pages (from-to) | 1683-1690 |
| Number of pages | 8 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 27 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1994 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
Fingerprint Dive into the research topics of 'Self-similarity of binary quasiperiodic sequences'. Together they form a unique fingerprint.
Cite this
Odagaki, T., & Kaneko, M. (1994). Self-similarity of binary quasiperiodic sequences. Journal of Physics A: Mathematical and General, 27(5), 1683-1690. [030]. https://doi.org/10.1088/0305-4470/27/5/030