Structure in the parameter dependence of order and chaos for the quadratic map

Journal of Physics A: Mathematical and General

Volumn 30, Issue 20, 1997, Pages 7067-7076

  Hunt, Brian R ^a   Ott, Edward ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031582796     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/20/012     Document Type: Article

References (12)

1. Jacobson M V 1978 Sov. Math. Dokl. 19 1452
2. Graczyk J and Świa̧tek G 1997 Hyperbolicity in the real quadratic family Ann. Math. to appear
3. For example Ott E 1993 Chaos in Dynamical Systems (Cambridge: Cambridge University Press) p 29
4. Post T and Capel H W 1991 Physica 178 A 62
5. Yorke J A, Grebogi C, Ott E and Tedeschini-Lalli L 1985 Phys. Rev. Lett. 54 1095 Hunt B R, Gallas J A C, Grebogi C, Yorke J A and Koçak H Preprint
6. Yorke J A, Grebogi C, Ott E and Tedeschini-Lalli L 1985 Phys. Rev. Lett. 54 1095 Hunt B R, Gallas J A C, Grebogi C, Yorke J A and Koçak H Preprint
7. McDonald S W, Grebogi C, Ott E and Yorke J A 1985 Physica 17D 125 Grebogi C, McDonald S W, Ott E and Yorke J A 1983 Phys. Lett. 99A 415 see also [3, section 5.2]
8. McDonald S W, Grebogi C, Ott E and Yorke J A 1985 Physica 17D 125 Grebogi C, McDonald S W, Ott E and Yorke J A 1983 Phys. Lett. 99A 415 see also [3, section 5.2]
9. Farmer J D 1985 Phys. Rev. Lett. 55 351
10. Grebogi C, McDonald S W, Ott E and Yorke J A 1985 Phys. Lett. 110A 1
11. Grassberger P, Badii R and Politi A 1988 J. Stat. Phys. 51 135 Morita T, Hata H, Mori H, Horita T and Tomita K 1987 Prog. Theor. Phys. 78 511 see also [3, pp 323-6] and references therein
12. Grassberger P, Badii R and Politi A 1988 J. Stat. Phys. 51 135 Morita T, Hata H, Mori H, Horita T and Tomita K 1987 Prog. Theor. Phys. 78 511 see also [3, pp 323-6] and references therein