Evaluation of deterministic chaos in an energy-economic dynamic systems model.
Thesis DisciplineElectrical Engineering
Degree GrantorUniversity of Canterbury
Degree NameMaster of Engineering
This thesis investigates the behaviour of a dynamic systems model which attempts to mirror the effect of society on demands for energy and the substitution of energy sources in the supply market. Potential chaotic behaviour of the model was examined. Nonlinear equations of the Energy Economic Dynamic Systems Model (EEDSM) were mathematically modelled. An attempt was made to cause bifurcation in each equation's results. The effect of ranges of equation coefficients were plotted. The plots were visually checked for bifurcation behaviour. None was found. Bifurcation along with non-linear behaviour is accepted in the literature as a prerequisite for chaos. The author conduded that no chaotic behaviour existed at the level at which the system was examined. Several adaptations were made to the equations, and ranges of sensible values were estimated for critical coefficients.