CAJ | 학술논문

本文应用Rosenbrock方法将一类d维的含参数的延迟微分系统离散化，得到相应的数值离散系统。证明了如果原系统存在Hopf分支，则相应的数值离散系统Hopf分支的分支方向和不变曲线的稳定性分别与原系统的分支方向和周期解的稳定性相同。并由数值试验进一步验证了理论分析的结论。
본문응용Rosenbrock방법장일류d유적함삼수적연지미분계통리산화，득도상응적수치리산계통。증명료여과원계통존재Hopf분지，칙상응적수치리산계통Hopf분지적분지방향화불변곡선적은정성분별여원계통적분지방향화주기해적은정성상동。병유수치시험진일보험증료이론분석적결론。
A class of delay differential equations with parameter is considered. Applying the Rosenbrock methods to the system, the cor-responding numerical discrete system is obtained. It is proved that if the original system undergoes a Hopf bifurcation, the direction and the stability of the invariant curve of the numerical discrete system are the same as that of the original syetem. Numerical experiment fur-ther confirms the theoretical results of numerical analysis.