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https://scholarbank.nus.edu.sg/handle/10635/133333
| Title: | Invariants and chaotic maps | Authors: | Steeb, W.-H. Van Wyk, M.A. |
Issue Date: | Jun-1996 | Citation: | Steeb, W.-H., Van Wyk, M.A. (1996-06). Invariants and chaotic maps. International Journal of Theoretical Physics 35 (6) : 1253-1257. ScholarBank@NUS Repository. | Abstract: | A one-dimensional map f(x) is called an invariant of a two-dimensional map g(x, y) if g(x, f(x)) = f(f(x)). The logistic map is an invariant of a class of two-dimensional maps. We construct a class of two-dimensional maps which admit the logistic maps as their invariant. Moreover, we calculate their Lyapunov exponents. We show that the two-dimensional map can show hyperchaotic behavior. | Source Title: | International Journal of Theoretical Physics | URI: | http://scholarbank.nus.edu.sg/handle/10635/133333 | ISSN: | 00207748 |
| Appears in Collections: | Staff Publications |
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