Symbolic dynamics, entropy and complexity of the Feigenbaum map at the accumulation point
In the paper the logistic map \(f(x)=rx(1-x)\) at the Feigenbaum accumulation point \(r=3.56994567\dots\) is considered. Its symbolic dynamics is discussed and based on the special grammars investigation and the information about conditional entropies, the authors introduce and study a complexity function.
scientific article; zbMATH DE number 1783031