Title: SINGULARLY PERTURBATED CONSERVATIVE SYSTEM
By : Fajar Adi Kusumo
In mathematical modeling on global climate issues known ultra-low Frequency Variability (ULFV) models. This model is derived from the Navier-Stokes equation which describes the interaction between weather patterns measured in sub-tropical regions over a long period of time (years). Using datasets obtained from the Global Climate Model and by applying a method known as Empirical Orthogonal Function (EOF), this ULFV model can be brought into the form of a high-dimensional differential equation (ODE) system. In accordance with the nature of the Navier-Stokes equation, the non-linear tribes of the ODE system are energy-reserving. In this paper will be outlined the analysis of an ODE system that has energy-preserving properties assuming that its linear tribes are limited to their kuadratic form and linear tribes…
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