4 papers
math.DS2026
On the persistence of -exponential separation of linear cocycles under a small perturbation
Lirui Feng
In this paper, the concept about a -exponential separation of a linear cocycle on is extended for a general linear coclye whose bas…
math.DS2026
Decomposition of quasi-all invariant bundles for the cocycle with a set of strongly invariant cones
Lirui Feng
In this paper, we prove that a linear cocycle with a set of strongly invariant cones admits a decomposition of quasi-all invariant bundles. We further obtain the certain location-r…
math.DS2026
The open dense conjecture on eventually slow oscillations of the differential equation with delayed negative feedback
Lirui Feng
In this paper, we show how to use the approach of the strongly order-preserving semiflow with respect to high-rank cones to solve the open dense conjecture on eventually slow oscil…
math.DS2024
Semiflows strongly focusing monotone with respect to high-rank cones: II. Pseudo-ordered principle
Lirui Feng
We consider a semiflow strongly focusing monotone with respect to a cone of rank k on a Banach space. We prove that the omega-limit set of a pseudo-ordered semiorbit is ordered, wh…