振動系非線形方程式における高次の擬Symplectic数値解法の評価と適用

概要

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In this paper, we obtain the algorithm of fundamental Pseudo-symplectic numerical solution which is modified the Symplectic solutions in dissipative systems, and imply the higher order Pseudo-symplectic solutions with considering oscillation systems. That consists of symplectic terms and dissipative terms. And, it is known that the higher order Symplectic numerical solutions exist. Therefore, it is easy to lead to the higher order Pseudo-symplectic solutions on symplectic part. However, that is incorrect as it is. Accordingly, we apply to the second order Euler method on its dissipative part. This method is more effective as higher order solutions on bifurcation diagram.
岡山理科大学の論文