Non-asymptotic corrections to orbital scaling in period doubling maps |
| |
| Institution: | 1. Complex Systems Group, Institute of Nuclear and Particle Physics, NCSR Demokritos, Aghia Paraskevi Attiki, GR 15310, Greece;2. Hellenic Army Academy, Section of Physical Sciences and Applications, Vari Attiki, Greece;3. Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, Hamburg 22761, Germany;1. Departmental area of mathematics, ISEL–Instituto Superior de Engenharia de Lisboa, Rua Conselheiro Emídio Navarro, 1, Lisboa 1959-007, Portugal;2. Department of Mathematics, Universidade de Évora, Rua Romão Ramalho, 59, Évora 7000-671, Portugal;3. CIMA, Rua Romão Ramalho, 59, Évora 7000-671 Portugal |
| |
| Abstract: | An extension of Feigenbaum's scaling laws for orbital sequences is presented for one-dimensional maps with quadratic maxima. We find that two universal constants, and combinations of these with the Feigenbaum scaling factors, characterize this generalized approach to chaos. Suggestions for future investigations are presented. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
