A non-autonomous bifurcation theory for deterministic scalar differential equations

A non-autonomous bifurcation theory for deterministic scalar differential equations
复制标题

确定性标量微分方程的非自治分岔理论

DOI：
--
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
R. Obaya
R. Obaya
中科院分区：
--
文献类型：
--
作者：
C. Núñez;R. Obaya

文献摘要

被引文献

相似文献

在将鞍结点、跨临界和干草叉分岔的概念扩展到非自治情况时，我们考虑由初始一参数方程确定的斜积流的最小集的数量和吸引特性的变化。在该工作条件下，建立了确保所提到的每种类型存在全局分岔现象的方程系数的条件。特别注意显示非平凡的几乎自同扩展和收缩集在描述分叉点动力学中的重要性。
In the extension of the concepts of saddle-node, transcritical and pitchfork bifurcations to the non-autonomous case, one considers the change in the number and attraction properties of the minimal sets for the skew-product flow determined by the initial one-parametric equation. In this work conditions on the coefficients of the equation ensuring the existence of a global bifurcation phenomenon of each one of the types mentioned are established. Special attention is paid to show the importance of the non-trivial almost automorphic extensions and pinched sets in describing the dynamics at the bifurcation point.