An analysis of a family of rational maps containing integrable and non-integrable difference analogue of the logistic equation

Journal of Physics A: Mathematical and General

Volumn 29, Issue 8, 1996, Pages 1831-1840

  Saitoh, N ^a   Saito, S ^b   Shimizu, A ^a   Yoshida, K ^b  

^a YOKOHAMA NATIONAL UNIVERSITY   (Japan)

^b TOKYO METROPOLITAN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344439032     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/8/029     Document Type: Article

References (9)

1. Saitoh N, Saito S and Shimizu A 1995 Chaos, Solitons, Fractals 5 67
2. Devaney R L 1989 An Introduction to Chaotic Dynamical Systems 2nd edn (Menlo Park, CA: Addison-Wesley)
3. Milnor J 1990 Dynamics in one complex variable: introductory lectures, SUNY Stony Brook institute for mathematical sciences Preprint # 1990/5
4. Morisita M 1965 The fitting of the logistic equation to the rate of increase of population density Res. Popul. Ecol. VII 52-5
5. Yamaguchi M 1972 Mathematics on Nonlinear Phenomena (Tokyo: Asakura-Shoten) (in Japanese)
6. Collet P and Eckmann J-P 1980 Iterated Maps of the Interval as Dynamical Systems (Boston: Birkhäuser)
7. Milnor J 1993 Geometry and dynamics of quadratic rational maps Experimental Mathematics 2 35
8. Kocarev Lj 1987 Phys. Lett. 121A 274
9. Beardon A F 1991 Iteration of Rational Functions GTM 132 (New York: Springer)