A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf
.
All-time Morse decompositions of linear nonautonomous dynamical systems
2007
Proceedings of the American Mathematical Society
Morse decompositions provide inside information about the global asymptotic behavior of dynamical systems on compact metric spaces. Recently, the existence of Morse decompositions for nonautonomous dynamical systems was proved by restricting attention to the past or the future of the system, but in general, such a construction is not realizable for the entire time. In this article, it is shown that all-time Morse decompositions can be defined for linear systems on the projective space.
doi:10.1090/s0002-9939-07-09071-5
fatcat:lvvlciis4fbozik3midyeihsyu