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Case studies of existence of periodic solutions for projected dynamical systems on Euclidean spaces.

机译：欧氏空间上投影动力系统周期解存在性的案例研究。

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Projected dynamical system theory represents a bridge between the static worlds of variational inequalities and equilibrium problems, and the dynamical world of ordinary differential equations. A projected dynamical system is given by the flow of a projected differential equation, an ordinary differential equation whose trajectories are restricted to a constraint set K. Projected differential equations are defined by a nonlinear and discontinuous vector field and therefore standard ordinary differential equations theory does not apply. The formal study of projected dynamical systems began in the 1990s and the study of periodic cycles for projected dynamical systems began in 2006. In this thesis, we summarize several known results and present a few new results regarding the existence of periodic cycles for projected dynamical systems.

机译：投影动力学系统理论代表了变分不等式和平衡问题的静态世界与常微分方程的动态世界之间的桥梁。投影动力学系统是由一个投影微分方程的流动给出的，该投影微分方程是一个其轨迹受限于约束集K的常微分方程。投影微分方程是由非线性和不连续矢量场定义的，因此标准的常微分方程理论并不应用。预测动力系统的正式研究始于1990年代，2006年开始进行投影动力系统的周期循环研究。在本文中，我们总结了一些已知的结果，并提出了一些有关投影动力系统周期循环存在的新结果。。

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作者
Johnston, Matthew Douglas.;
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作者单位

University of Guelph (Canada).;

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授予单位 University of Guelph (Canada).;
学科 Mathematics.
学位 M.Sc.
年度 2006
页码 69 p.
总页数 69
原文格式 PDF
正文语种 eng
中图分类
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3. Structure of the Set of Bounded Solutions and Existence of Pseudo Almost Periodic Solutions of a Vector Liénard Differential Equation : Nonautonomous Dynamical Systems [J] . null E. Ait Dads, P. Cieutat, L. Lhachimi Nonautonomous Dynamical Systems . 2019,第1期

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Case studies of existence of periodic solutions for projected dynamical systems on Euclidean spaces.

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