Tent Map - Asymmetric Tent Map

Asymmetric Tent Map

The asymmetric tent map is essentially a distorted, but still piecewise linear, version of the case of the tent map. It is defined by

v_{n+1}=\begin{cases} v_n/a &\mathrm{for}~~ v_n \in [0,a) \\ \\ (1-v_n)/(1-a) &\mathrm{for}~~ v_n \in \end{cases}

for parameter . The case of the tent map is the present case of . A sequence {} will have the same autocorrelation function as will data from the first-order autoregressive process with {} independently and identically distributed. Thus data from an asymmetric tent map cannot be distinguished, using the autocorrelation function, from data generated by a first-order autoregressive process.

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