The connection between one-dimensional dynamical laws generating discrete processes and their invariant densities as well as their stationary correlaton functions is discussed. In particular the changes occuring under a special equivalence transformation are considered. Correlation functions are used to describe the gradual transition from periodic states to chaotic states via periodic motions with superimposed nonlinearity noise.
CITATION STYLE
May, R. M. (2004). Simple mathematical models with very complicated dynamics. In The Theory of Chaotic Attractors (pp. 85–93). Springer New York. https://doi.org/10.1007/978-0-387-21830-4_7
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