The tent map, with a parameter customarily written mu, is the piecewise linear real function that sends x to mu times the minimum of x and 1 minus x, named for the tent-like shape of its graph. For parameter values between 0 and 2 the map sends the unit interval into itself, so repeatedly applying it to a starting point produces a sequence, or recurrence, within that interval. At the parameter value mu equals 2 the tent map is a nonlinear transformation of both the bit-shift map and the r equals 4 case of the logistic map.
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Source Wikipedia: Tent map
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1. Wikipedia: Tent map
Lead section, definition
the tent map with parameter mu is the real-valued function f_mu defined by f_mu(x) := mu min{x, 1 - x}
In Branch: Dynamical Systems, Lead paragraph
For the values of the parameter μ within 0 and 2, fμ maps the unit interval [0, 1] into itself, thus defining a discrete-time dynamical system on it (equivalently, a recurrence relation).
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