A dynamical system approach to SOC models of Zhang's type

Journal of Statistical Physics

Volumn 88, Issue 1-2, 1997, Pages 307-318

  Blanchard, Ph ^a   Cessac, B ^a,b   Kruger T ^a  

^a BIELEFELD UNIVERSITY   (Germany)

^b INSTITUT NON LINÉAIRE DE NICE   (France)

Author keywords

Fractal structure of the invariant energy distribution; Hyperbolic dynamical systems with singularities; Invariant sets and invariant measures; Self organized criticality

Indexed keywords

EID: 0031184911     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02508473     Document Type: Article

References (7)

1. P. Bak, C. Tang, K. Wiesenfeld, Phys. Rev. Lett. 59:4, (1987), 381-384, P. Bak, C. Tang, K. Wiesenfeld, Phys. Rev. A. 38:1, (1988), 364-374.
2. P. Bak, C. Tang, K. Wiesenfeld, Phys. Rev. Lett. 59:4, (1987), 381-384, P. Bak, C. Tang, K. Wiesenfeld, Phys. Rev. A. 38:1, (1988), 364-374.
3. P. Bak, K. Chen, Scientific American, 1991.
4. Ph. Blanchard Ph., B. Cessac, T. Krüger, to be published.
5. A. Katok, J. M. Strelcyn, Lectures notes in Mathematics 1222, (Springer, Berlin, 1986).
6. H. Y. Zhang, Phys. Rev. Let. 63:5 (1988), 470-473; L. Pietronero, P. Tartaglia, Y. C. Zhang, Physica A 173, (1991), 22-44.
7. H. Y. Zhang, Phys. Rev. Let. 63:5 (1988), 470-473; L. Pietronero, P. Tartaglia, Y. C. Zhang, Physica A 173, (1991), 22-44.