Fractal dimension fluctuations for snapshot attractors of random maps

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 53, Issue 3, 1996, Pages 2287-2291

  Namenson, Arthur ^a   Ott, Edward ^b   Antonsen, Thomas M ^b  

^a NAVAL RESEARCH LABORATORY   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243802046     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.2287     Document Type: Article

References (15)

1. F. Ladrappier and L. S. Young, Commun. Math. Phys. 117, 529 (1988).
2. L. Yu, E. Ott and Q. Chen, Phys. Rev. Lett.65, 2935 (1990);
3. L. Yu, E. Ott and Q. Chen, Physica D53, 102 (1991).
4. J. C. Sommerer and E. Ott, Science259, 335 (1993);
5. J. C. Sommerer, Physica D76, 85 (1994).
6. A. Namenson, T. M. Antonsen, and E. Ott (unpublished).
7. J. C. Sommerer (unpublished).
8. Area preserving random maps modeling passive scalar transport through the volume of a fluid have been considered in the following references. F. Varosi, Phys. Fluids A3, 1017 (1991);
9. E. Ott and T. M. Antonsen, Phys. Rev. Lett.61, 2839 (1988);
10. T. M. Antonsen and E. Ott, Phys. Rev. A44, 851 (1991).
11. F. J. Romeiras, C. Grebogi and E. Ott, Phys. Rev. A41, 784 (1990).
12. J. Kaplan and J. A. Yorke, in Functional Differential Equations and Approximations of Fixed Points, edited by H. O. Peitgen and H. O. Walter, Springer Lecture Notes in Mathematics, Vol. 730 (Springer, Berlin, 1978), p. 228; see also Sec. 4.4 of Ref. [9] and references therein.
13. E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1993).
14. G. M. Zaslavsky, Phys. Lett.69A, 145 (1978).
15. J. M. Juran, F. M. Gryna, Jr., and R. S. Bingham, Quality Control Handbook (McGraw Hill, New York, 1974), pp. 2210 2213.