Multiscaling of the graph length in Coupled Map Lattices

Gorbon, A; Erzan, A

doi:10.1088/0305-4470/30/3/005

Multiscaling of the graph length in Coupled Map Lattices

Atıf İçin Kopyala

Gorbon A., Erzan A.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.30, sa.3, ss.785-793, 1997 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 30 Sayı: 3
Basım Tarihi: 1997
Doi Numarası: 10.1088/0305-4470/30/3/005
Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.785-793
İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

We consider generalized scaling exponents for the graph of a scalar function to allow for multiscaling of the graph length. These generalized exponents are related to the moments of the distribution of roughness over the support of the graph. We report numerical computations of these exponents for the graphs of Coupled Map Lattices exhibiting phase transitions between laminar and turbulent behaviour. We observe multiscaling of the graph in the transition region. Furthermore, the generalized-dimensions D(q) are computed for a conserved measure of graph roughness.