From the 2 of 5 linked papers with an AI index.
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Bifurcation of periodic and antiperiodic solutions in non-autonomous potential-type delay systems
Guangcun Lu
The paper analyzes how periodic and antiperiodic solutions emerge in non‑autonomous potential‑type delay differential systems with multiple delays, using a Hamiltonian reformulatio…
Bifurcations of periodic and antiperiodic orbits near an equilibrium in autonomous differential delay systems with one or two delays
Guangcun Lu
The paper studies how periodic and antiperiodic solutions emerge near equilibria in autonomous differential-delay equations with one or two delays, using a Hamiltonian reformulatio…
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…
Bifurcations for Hamiltonian systems
Guangcun Lu
With the dual variational principle and the saddle point reduction we use the abstract bifurcation theory recently developed by author in previous work to prove many new bifurcatio…
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…