一类非局部Chafee-Infante问题吸引子的结构
Structure of the attractor for a non-local Chafee-Infante problem
摘要：
本文研究一类非局部一维拟线性问题的整体吸引子的结构。我们的问题与Chafee-Infante问题的非局部版本的强关系使我们能够描述其吸引子的结构。为此，我们利用康利指数和连接矩阵理论，以找到几何信息，如存在的异宿平衡之间的连接。这样，吸引子的结构就被完整地描述了。
英文摘要：
In this article, we study the structure of the global attractor for a non-local one-dimensional quasilinear problem. The strong relation of our problem with a non-local version of the Chafee-Infante problem allows us to describe the structure of its attractor. For that, we made use of the Conley index and the connection matrix theories in order to find geometric information such as the existence of heteroclinic connections between the equilibria. In this way, the structure of the attractor is completely described.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
