Multiscale Linearization of Nonautonomous Systems
Proceedings Section A, Mathematics - Royal Society of Edinburgh/Proceedings Section A Mathematics(2022)
摘要
We present sufficient conditions under which a given linear nonautonomous system and its nonlinear perturbation are topologically conjugated. Our conditions are of a very general form and provided that the nonlinear perturbations are well-behaved, we do not assume any asymptotic behaviour of the linear system. Moreover, the control on the nonlinear perturbations may differ along finitely many mutually complementary directions. We consider both the cases of one-sided discrete and continuous dynamics.
更多查看译文
关键词
Multiscale,linearization,nonautonomous dynamics
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要