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|Title:||Invariants and chaotic maps|
|Authors:||Steeb, W.-H. |
Van Wyk, M.A.
|Source:||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|
|Appears in Collections:||Staff Publications|
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