Published December 11, 2006
| Version v1
Journal article
Fibonacci order in the period-doubling cascade to chaos
- 1. Facultad de Ciencias UAEM, Avenida Universidad 1001, Colonia Chamilpa, C.P. 62210 Cuernavaca, Morelos (Mexico)
- 2. Instituto de Matematicas, UNAM, Colonia Chamilpa, C.P. 62210 Cuernavaca, Morelos (Mexico)
- 3. Department of Chemistry, West Virginia University, Morgantown, WV 26506-6045 (United States)
Description
In this contribution, we describe how the Fibonacci sequence appears within the Feigenbaum scaling of the period-doubling cascade to chaos. An important consequence of this discovery is that the ratio of successive Fibonacci numbers converges to the golden mean in every period-doubling sequence and therefore the convergence to φ, the most irrational number, occurs in concert with the onset of deterministic chaos
Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2006.07.036;
- PII
- S0375-9601(06)01142-X;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 359
- Journal Issue
- 6
- Journal Page Range
- p. 638-639
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38067339
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CHAOS THEORY; CONVERGENCE; MATHEMATICAL LOGIC; PERIODICITY
- Descriptors DEC
- MATHEMATICS; VARIATIONS
Optional Information
- Copyright
- Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.