Master-equation approach to deterministic chaos
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A class of exact master equations descriptive of a Markovian process is obtained, starting from the Perron-Frobenius equation for a chaotic dynamical system. The conditions that must be satisfied by the initial probability density for the validity of the master equation are derived. The approach employs projection operator techniques and provides one with a dynamical prescription for carrying out coarse-graining in a systematic manner.
CitationNicolis, G.; Nicolis, C. (1988). Master-equation approach to deterministic chaos. , Physical Review A, Vol. 38, Issue 1, 427-433, DOI: 10.1103/PhysRevA.38.427.