Bifurcations and averages in the logistic map

Dynamical Systems

Volumn 15, Issue 1, 2000, Pages 35-41

  Cavalcante, Hugo L D De S ^a   Rios Leite, José R ^a  

^a FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; ITERATIVE METHODS; TIME SERIES ANALYSIS;

LOGISTIC MAP;

BIFURCATION (MATHEMATICS);

EID: 0034156561     PISSN: 14689367     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. Bergé, P., Pomeau, Y., and Vidal, Ch., 1984, L'Ordre dans le Chaos (Paris: Hermann), pp. 209 and 242.
2. Cavalcante, H. L. D. de S., and Rios Leite, J. R., 1999, to be published.
3. Claiborne Johnston, J., and Hilborn, R. C., 1988, Experimental verification of a universal scaling law for the Lyapunov exponent of a chaotic system. Physical Review. A, 37: 2680-2682.
4. Huberman, B. A., and Rudnick, J., 1980, Scaling behavior of chaotic flows. Physical Review Letters, 45: 154-156.
5. Jacobs, J., Ott, E., and Hunt, B. R., 1997, Scaling of the duration of chaotic transients in windows of attracting periodicity. Physical Review E, 56: 6508-6515.
6. Oliveira-Neto, L. de B., da Silva, G. J. F. T., Khoury, A. Z., and Rios Leite, J. R., 1996, Average intensity and bifurcations in a chaotic laser. Physical Review A, 54: 3405-3407.
7. Ott, E., 1993, Chaos in Dynamical Systems (Cambridge: Cambridge University Press).
8. Sauer, T., Grebogi, C., and York, J. A., 1997, How long do numerical chaotic solutions remain valid? Physical Review Letters, 79: 59-62.