Application of Simple Dynamical System to Study the Hydrological Dynamics of a Mookervat Catchment Area

Abstract

The paper study the characteristic of catchment behavior by using a simple first-order nonlinear dynamical system. The study area was located in a part of Jakarta Urban Lake was called Mookervart catchment area with some part of them are artifical river. The aims of the paper are to discover a new method to describe and to predict the dynamical of Mookervart river system by using a parameter simplify run off and rainfall. The average of rainfall was taken as long12 year showed that rainfall in Mookervart River under 500 mm/month which called as a “wet month”. Mookervart river system was caused by 2 season: wet and dry month. The dry month starting from month of May up to October and wet month from November to April. In 2010 the wet month more longest than other year is caused by La Nina effect. By using the α=3 then the equation has two solution, this is mean that the solution is not unique. When the value of parameter increase then there are many kind of solution. This condition is called bifurcation. The rainfall on 8th days shown that increasing and decreasing from 15th day and then stabilize from 20th day to 100th day. Run off on the 18th days shown that increasing optimally and stabilize from 18th day to 100th day. The part or 50% of rainfall can be absorp to the land and others can be change to the runoff form. The application this model into the observation data of Mookervart catchment area is still developed. This is a restriction of a parameter value in our system that proofed that the behavior of the solution will be highlighted.