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THE APPLICATION OF THE ASYMPTOTIC METHOD TO A CLASS OF STRONGLY NONLINEAR SYSTEMS

THE APPLICATION OF THE ASYMPTOTIC METHOD TO A CLASS OF STRONGLY NONLINEAR SYSTEMS
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摘要 In this paper, according to the form of the asymptotic solution of papers [1, 2], the asymptotic method is extended to the following a class of more general strong nonlinear vibration systemswhere g and f are the nonlinear analytical-functions of x and x, and e>0 is a small parameter. We assume that the derivative system corresponding to e=0 has periodic solution. The recurrence equations of the asymptotic solution for the system (0.1) are deduced in this paper, and they are applied to practical examples. In this paper, according to the form of the asymptotic solution of papers [1, 2], the asymptotic method is extended to the following a class of more general strong nonlinear vibration systemswhere g and f are the nonlinear analytical-functions of x and x, and e>0 is a small parameter. We assume that the derivative system corresponding to e=0 has periodic solution. The recurrence equations of the asymptotic solution for the system (0.1) are deduced in this paper, and they are applied to practical examples.
作者 谢柳辉
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第9期867-872,共6页 应用数学和力学(英文版)
关键词 strongly nonlinear system generalized conservative system asymptotic solution strongly nonlinear system, generalized conservative system,asymptotic solution
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