CAJ | 학술논문

讨论了同心球间旋转流动的类 Lorenz 型方程组的动力学行为及其数值模拟问题，求出了该方程组平衡点，并对其稳定性进行了分析，证明了该方程组吸引子的存在性，对类Lorenz方程组的动力学行为进行了数值模拟，数值试验表明此类Lorenz 型方程组存在极限环和奇怪吸引子。
토론료동심구간선전류동적류 Lorenz 형방정조적동역학행위급기수치모의문제，구출료해방정조평형점，병대기은정성진행료분석，증명료해방정조흡인자적존재성，대류Lorenz방정조적동역학행위진행료수치모의，수치시험표명차류Lorenz 형방정조존재겁한배화기괴흡인자。
In order to study the problem of rotating flow we investigate the dynamical behavior and the numerical simulation of the model system similar to the Lorenz equations of the Navier-Stokes equations for the flow between two concentric rotating spheres. Its stationary points and the stability are presented, the existence of attractor is proved. Chaos behavior is simulated numerically by computer with the changing of Reynolds number, Numerical experiments show that the existence of limit cycles and strange attractors.