一类五次非线性系统的全局动力学
Global Dynamics of a Class of Quintic Nonlinear System
DOI: 10.12677/DSC.2020.94020, PDF,  被引量    国家自然科学基金支持
作者: 高发宝, 王永青:扬州大学数学科学学院,江苏 扬州
关键词: 全局动力学五次非线性系统Poincaré变换Global Dynamics Quintic Nonlinear System Poincaré Transformation
摘要: 本文主要运用微分方程定性理论讨论了一类五次非线性系统的全局动力学行为,该系统在Stringer壳的非线性振动和船舶横摇运动中有着广泛的应用。
Abstract: In this paper, the global dynamic behavior of a class of quintic nonlinear systems is discussed by using the qualitative theory of differential equations. The system is widely used in nonlinear vibration of stringer shell and ship rolling motion.
文章引用:高发宝, 王永青. 一类五次非线性系统的全局动力学[J]. 动力系统与控制, 2020, 9(4): 207-213. https://doi.org/10.12677/DSC.2020.94020

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