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.

Read more about this topic:  Tent Map

Famous quotes containing the words tent and/or map:

    I never saw a man who looked
    With such a wistful eye
    Upon that little tent of blue
    Which prisoners call the sky.
    Oscar Wilde (1854–1900)

    When I had mapped the pond ... I laid a rule on the map lengthwise, and then breadthwise, and found, to my surprise, that the line of greatest length intersected the line of greatest breadth exactly at the point of greatest depth.
    Henry David Thoreau (1817–1862)