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20162026
most citedGenerical behavior of flows strongly monotone with respect to high-rank cones

2 citations · 2 across the 7 of their papers we have counts for

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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.DS2025

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…

math.DS2023

Semiflows strongly focusing monotone with respect to high-rank cones. I: Generic dynamics

Lirui Feng

We consider a smooth semiflow strongly focusing monotone with respect to a cone of rank k on a Banach space. We obtain its generic dynamics, that is, semiorbits with initial data f…

math.DS2019★ 2 cited

Generical behavior of flows strongly monotone with respect to high-rank cones

Lirui Feng, Yi Wang, Jianhong Wu

We consider a smooth flow in which is "strongly monotone" with respect to a cone of rank , a closed set that contains a linear subspace of dimension…

math.DS2016

Monotone semiflows with respect to high-rank cones on a Banach space

Lirui Feng, Yi Wang, Jianhong Wu

We consider semiflows in general Banach spaces motivated by monotone cyclic feedback systems or differential equations with integer-valued Lyapunov functionals. These semiflows enj…