论文标题
非均匀线性耗散标量的普通微分方程的均匀稳定性和混乱动力学
Uniform stability and chaotic dynamics in nonhomogeneous linear dissipative scalar ordinary differential equations
论文作者
论文摘要
本文分析了由非均匀线性耗散类型的时间依赖的普通微分方程引起的偏压流量的不变紧凑型集的结构和内部长期动力学。主要假设是在耗散项和方程式的均匀线性项上做出的。丰富的casuistic包括不变的紧凑型组的统一稳定性，以及在吸引子内部的li-yorke混乱和奥斯兰德·尤克混乱的存在。
The paper analyzes the structure and the inner long-term dynamics of the invariant compact sets for the skewproduct flow induced by a family of time-dependent ordinary differential equations of nonhomogeneous linear dissipative type. The main assumptions are made on the dissipative term and on the homogeneous linear term of the equations. The rich casuistic includes the uniform stability of the invariant compact sets, as well as the presence of Li-Yorke chaos and Auslander-Yorke chaos inside the attractor.
