CONTINUOUS CELL-TO-CELL MAPPING

The cell-to-cell mapping technique (CCMT) is a numerical technique for the global analysis of non-linear dynamic systems and models system evolution as a Markov chain in discrete time. The computational feasibility of a continuous time version of CCMT is investigated using the van der Pol oscillator. The results show that while the continuous CCMT leads to large amount of computational time in the validation of the results with respect to the conventional CCMT, convergence to the asymptotic solution can be very slow. In these respect, the continuous CCMT approach is expected to be most effective as a scoping tool to determine the approximate location of the attractors.