xt+1 = 1.0 - | 1.0 - A xt |
or
xt+1 =  A xt (0 < xt < 0.5)
xt+1 =  A(1.0 -  xt) (0.5 ≤ xt < 0.5)

parameter: A = 2.0

Lyapunov exponent (log with base-e): 0.6931471806
The Lyapunov exponent is theoretically the same as ln(A) = 0.6931471806...

Reference

Chaos and Time-Series Analysis (p. 37 and p. 418)

Julien Clinton Sprott

Oxford University Press (2001/Sep/27)

ISBN-10: 0198508409

ISBN-13: 978-0198508403

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