Parameter Estimations of Fuzzy Forced Duffing Equation: Numerical Performances by the Extended Runge-Kutta Method

Figure 1

Solutions of Equation (23), the deterministic system which is obtained from applying the Hd concept. It is performed by using the extended RK method with the parameters which are in Equation (27) and the initial values which are in Equation (28). (a) The , with the left-end is denoted by the no marked square, and the right one by the black-marked square. In addition, the solid line states the approximation solution of Equation (2), with [4]. (b) Phase plane , with placed horizontally and vertically. In addition, the black-marked cycle states coordinate point , the black-marked square states coordinate point , and the dotted line states equation .

(a) Solution

(b) Phase Plane