Determination of invariant measures: An approach based on homotopy perturbations
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This paper describes the application of the homotopy perturbations method (HPM) in the computation of invariant measures (IMs) of the non-linear dynamical systems which are characterized by the complex, chaotic behavior. The convergence of the HPM is formally investigated and confirmed, and its efficiency is illustrated in several examples of widely used chaotic maps.
Keywords:Invariant measures / Frobenius-Perron equation / homotopy perturbations / chaotic mappings / probability distribution
Source:University politehnica of Bucharest scientific bulletin-series a-applied mathematics and physics, 2018, 80, 2, 119-128
- Univ Politehnica Bucharest, Sci Bull, Bucuresti