Effect of noise on nonhyperbolic chaotic attractors

Physical Review Letters

Volumn 81, Issue 7, 1998, Pages 1397-1400

  Schroer, Christian G ^a,d   Ott, Edward ^b   Yorke, James A ^c  

^a UNIVERSITY OF MARYLAND   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

^c Bldg 142   (United States)

^d RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 11544342244     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.81.1397     Document Type: Article

References (18)

1. J. P. Crutchfield, J. D. Farmer, and B. A. Huberman, Phys. Rep, 92, 45 (1982)]
2. J. C.Sommerer, E.Ott, and C.Grebogi, Phys. Rev. A, 43, 1754(1991);
3. R. L.Kautz, J. Appl. Phys,62, 198(1982);
4. F. T. Arecchi, R. Badii, and A. Politi, Phys. Lett, 103A, 3 (1984)]
5. T. Sauer, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett, 79, 59 (1997), and references therein.
6. E.Ott, E. D.Yorke, and J. A.Yorke, Physica (Amsterdam), 16D, 62(1985).
7. L.Jaeger and H.Kantz, Physica (Amsterdam), 105D, 79(1997).
8. T.Bohr and D.Rand, Physica (Amsterdam), 25D, 387(1987);
9. P.Cvitanović, G. H.Gunaratne, and I.Procaccia, Phys. Rev. A, 38, 1503(1988);
10. E.Ott, W. D.Withers, and J. A.Yorke, J. Stat. Phys,36, 687(1984);
11. P.Grassberger, R.Badii, and A.Politi, J. Stat. Phys,51, 135(1988);
12. E.Ott, C.Grebogi, and J. A.Yorke, Phys. Lett. A, 135, 343(1989);
13. P.Szépfalusy, T.Tél, A.Csordás, and Z.Kovács, Phys. Rev. A, 36, 3525(1987);
14. E.Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, England, 1994), pp. 310–313.
15. J. L.Kaplan and J. A.Yorke, in Functional Differential Equations and Approximations of Fixed Points, Lecture Notes in Math. 730, H. O. Peitgen and H. O. Walter (Springer, Berlin, 1979), p. 204.
16. S.Hammel, C. K. R. T.Jones, and J.Maloney, J. Opt. Soc. Am. B, 2, 552(1985).
17. J. H.Friedman, J. L.Bentley, and R. A.Finkel, ACM Trans. Math.Softw,3, 209(1977).
18. R. F.Sproull, Algorithmica, 6, 597(1991).