AI 中文总结
研究五类多延迟非自治势时滞微分系统周期解和反周期解的分岔，通过将系统重述为广义哈密顿系统，应用哈密顿分岔理论建立了法德尔 - 拉宾诺维茨型和拉宾诺维茨型的分岔结果。
AI 中文摘要
作为我们之前工作的延续，之前研究了具有一个或两个时滞的自治微分时滞系统在平衡点附近的周期轨道和反周期轨道的分岔。本文研究了五类具有多个时滞的非自治势时滞微分系统的周期解和反周期解的分岔。通过将这些系统重新表述为欧几里得空间上的广义哈密顿系统，应用作者最近发展的哈密顿分岔理论，建立了法德尔 - 拉宾诺维茨型和拉宾诺维茨型的替代分岔结果。
英文摘要
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 or two delays, this paper investigates bifurcations of periodic and antiperiodic solutions for five classes of non-autonomous potential delay differential systems with multiple delays. By reformulating these systems as generalized Hamiltonian systems on Euclidean spaces, we apply the Hamiltonian bifurcation theory recently developed by the author to establish alternative bifurcation results of both Fadell--Rabinowitz and Rabinowitz type.
CommentsLatex, 39 pages
