6 citations · 73 across the 45 of their papers we have counts for
46 papers
Bifurcations of periodic and antiperiodic orbits near an equilibrium in autonomous differential delay systems with one or two delays
Guangcun Lu
We investigate bifurcations of periodic and antiperiodic solutions near equilibria for four classes of potential differential-delay equations involving one or two delays. By reform…
Bifurcation of periodic and antiperiodic solutions in non-autonomous potential-type delay systems
Guangcun Lu
As a continuation of our previous work, where bifurcations of periodic and antiperiodic orbits near an equilibrium were studied for autonomous differential delay systems with one o…
Bifurcations for Lagrangian systems and geodesics I
Guangcun Lu
This paper is Part I of a two-part series. We investigate bifurcation phenomena in Lagrangian systems with various boundary conditions and constraints, focusing on the interplay be…
Bifurcations for Lagrangian systems and geodesics II
Guangcun Lu
This is the second part of a two--part series investigating bifurcation phenomena in autonomous Lagrangian systems and geodesic flows on Finsler and Riemannian manifolds. Building…
A Brunn-Minkowski type inequality for extended symplectic capacities of convex domains and length estimate for a class of billiard trajectories
Rongrong Jin, Guangcun Lu
In this paper, we firstly generalize the Brunn-Minkowski type inequality for Ekeland-Hofer-Zehnder symplectic capacity of bounded convex domains established by Artstein-Avidan-Ostr…
A note on bifurcation theorems of Rabinowitz type
Guangcun Lu
In this note we refine the alternativity in some bifurcation theorems of Rabinowitz type, and then improve a few of results in Lu (2022) [17].