Basins of attraction

Science

Volumn 271, Issue 5254, 1996, Pages 1376-1380

  Nusse, Helena E ^a,b   Yorke, James A ^a  

^a UNIVERSITY OF MARYLAND   (United States)

^b UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1442297962     PISSN: 00368075     EISSN: None     Source Type: Journal    
DOI: 10.1126/science.271.5254.1376     Document Type: Article

References (13)

1. C Grebogi, E Ott, J. A. Yorke, Science 238, 632 (1987)
2. E. G. Gwinn and R. M. Westervelt, Phys Rev, A 33, 4143 (1986); S. W. McDonald, C Grebogi, E. Ott, J. A. Yorke, Physica D 17, 125 (1985), C Mira, C. R Acad. Sci Paris A 288, 591 (1979); F. C Moon and G-X Li, Phys Rev. Lett. 55, 1439 (1985); S. Takesue and K Kaneko, Prog. Theor. Phys. 71, 35 (1984).
3. E. G. Gwinn and R. M. Westervelt, Phys Rev, A 33, 4143 (1986); S. W. McDonald, C Grebogi, E. Ott, J. A. Yorke, Physica D 17, 125 (1985), C Mira, C. R Acad. Sci Paris A 288, 591 (1979); F. C Moon and G-X Li, Phys Rev. Lett. 55, 1439 (1985); S. Takesue and K Kaneko, Prog. Theor. Phys. 71, 35 (1984).
4. E. G. Gwinn and R. M. Westervelt, Phys Rev, A 33, 4143 (1986); S. W. McDonald, C Grebogi, E. Ott, J. A. Yorke, Physica D 17, 125 (1985), C Mira, C. R Acad. Sci Paris A 288, 591 (1979); F. C Moon and G-X Li, Phys Rev. Lett. 55, 1439 (1985); S. Takesue and K Kaneko, Prog. Theor. Phys. 71, 35 (1984).
5. E. G. Gwinn and R. M. Westervelt, Phys Rev, A 33, 4143 (1986); S. W. McDonald, C Grebogi, E. Ott, J. A. Yorke, Physica D 17, 125 (1985), C Mira, C. R Acad. Sci Paris A 288, 591 (1979); F. C Moon and G-X Li, Phys Rev. Lett. 55, 1439 (1985); S. Takesue and K Kaneko, Prog. Theor. Phys. 71, 35 (1984).
6. E. G. Gwinn and R. M. Westervelt, Phys Rev, A 33, 4143 (1986); S. W. McDonald, C Grebogi, E. Ott, J. A. Yorke, Physica D 17, 125 (1985), C Mira, C. R Acad. Sci Paris A 288, 591 (1979); F. C Moon and G-X Li, Phys Rev. Lett. 55, 1439 (1985); S. Takesue and K Kaneko, Prog. Theor. Phys. 71, 35 (1984).
7. E. Kasner and J R. Newman, Mathematics and the Imagination (Microsoft Press, Redmond, WA, 1939).
8. J G Hocking and G S. Young, Topology (Addison-Wesley, Reading, MA, 1961).
9. J. Kennedy and J A. Yorke, Physica D 51, 213 (1991).
10. H E. Nusse and J A Yorke, ibid , in press.
11. _, Ergodic Theory Dyn. Syst., in press
12. _, Dynamics Numerical Explorations (Applied Mathematical Sciences 101, Springer-Verlag, New York, 1994)
13. The computer-assisted pictures were made with the program Dynamics (8) We thank M Roberts and J. Tempkin for their comments This work was supported in part by the Department of Energy (Scientific Computing Staff Office of Energy Research) and the National Science Foundation, and the W M. Keck Foundation supported our Chaos Visualization Laboratory