Name
Abstract | ||
|---|---|---|
We give a complete description of the dynamics of the mapping f(epsilon)(z) = z(2) + (epsilon/z) for positive real values of e. We then consider two generalizations: the case of complex E and the mapping z --> z(n) + (epsilon/z(m)), where epsilon is positive and real. In both cases we provide a full characterization of the map for a certain set of parameters, and give observations based on numerical evidence for all other parameter values. The dynamics of all maps that we consider bears striking resemblance to that of complex quadratic maps. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1142/S0218127404009259 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | DocType | Volume |
complex dynamics, symbolic dynamics, Mandelbrot set | Journal | 14 |
Issue | ISSN | Citations |
1 | 0218-1274 | 2 |
PageRank | References | Authors |
1.89 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Robert L. Devaney | 1 | 9 | 6.97 |
| Kresimir Josic | 2 | 123 | 16.63 |
| Yakov Shapiro | 3 | 3 | 2.38 |