Techniques for Analysis of Certain Nonlinear Systems

Deekshatulu B. L.

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Techniques for Analysis of Certain Nonlinear Systems

机译：某些非线性系统的分析技术

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This paper suggests the use of simple transformations like ÃÂÃÂ¿=kx, kx2 for second-order nonlinear differential equations to effect rapid plotting of the phase-plane trajectories. The method is particularly helpful in determining quickly the trajectory slopes along simple curves in any desired region of the phase plane. New planes such as the tÃÂÃÂ¿-x, tÃÂÃÂ¿2-x are considered for the study of some groups of nonlinear time-varying systems. Suggestions for solving certain higher-order nonlinear systems are also made.

机译：本文建议对二阶非线性微分方程使用简单的变换，例如ƒ= = kx，kx2，以实现相平面轨迹的快速绘制。该方法对于快速确定在相平面的任何期望区域中沿着简单曲线的轨迹斜率特别有用。考虑了一些非线性时变系统组的研究，如新的平面，如tÃƒÂ，-x，tÃƒÂ，，‐¿2-x。还提出了解决某些高阶非线性系统的建议。

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《Applications and Industry, IEEE Transactions on》 |1964年第73期|P.258-262|共5页
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Deekshatulu B. L.;
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Indian Institute of Science, Bangalore, India.;

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Techniques for Analysis of Certain Nonlinear Systems

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