| 一类广义积分计算技巧和应用 |
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| 摘 要： | 针对用于确定横载同宿条件的Ｎｅｌｎｉｋｏｖ函数中广义积分计算的困难，给出了一种计算技巧，应用这种技巧建立了非对称Ｄｕｆｆｉｎｇ振子参数激励存在Ｓｍａｌｅ马蹄的条件。
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| 关 键 词： | 广义积分，计算，Melnikov函数，Duffing振子 |
Techniques for Evaluating a Class of Extended Integrals and Its Application |
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| Authors: | Chen Liqun |
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| Institution: | Dept. of Mech. Eng. |
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| Abstract: | Atechnique is presented to evaluate a class of extended integrals in the melnikov function used to determine the condition of transversely homoclinic intersection. This technique is applied to establish the wndition of appearing the Smale hirseshoe in two classes of the parametrically excited non-symmetri Duffing oscillators. |
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| Keywords: | extended integral evaluate Melnikov's function Duffing oscillator |
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