Almost periodic and almost automorphic dynamics for scalar convex differential equations
Almost periodic and almost automorphic dynamics for scalar convex differential equations
复制标题
标量凸微分方程的准周期和准自守动力学
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
Ana M. Sanz
中科院分区：
文献类型：
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作者：
Sylvia Novo;R. Obaya;Ana M. Sanz
研究一类依赖于参数的标量凸微分方程所定义的流的有界轨迹集。它被发现，存在精确的一个值的参数，几乎自守，但不是几乎周期动力学可能出现。即使对于这个参数值，几乎周期性的动态的发生示出在某些情况下是残留的。还研究了该参数对定义微分方程的函数的依赖性。
We study the set of bounded trajectories for the flow defined by a class of scalar convex differential equations depending on a parameter. It is found that there exists precisely one value of the parameter for which almost automorphic but not almost periodic dynamics may appear. Even for this parameter value, the occurrence of almost periodic dynamics is shown to be residual in some cases. The dependence of this parameter on the functions defining the differential equations is also studied.