Departamento de Ingeniería Eléctrica y de Computadoras, Instituto de Investigaciones en Ingeniería Eléctrica Alfredo Desages (UNS-CONICET), Universidad Nacional del Sur, (8000) Bahía Blanca, Argentina.
Chaos. 2010 Dec;20(4):043106. doi: 10.1063/1.3509771.
In this paper, the dynamics near a 2:3 resonant Hopf-Hopf bifurcation is studied. The main result is the identification of a distinctive structure connecting 1:2 and 1:3 strong resonances of limit cycles. This structure is found near the Hopf-Hopf point revealing that it may be associated to the resonant case, and may provide useful information about the dynamics generated by this codimension 3 bifurcation.
本文研究了 2:3 共振 Hopf-Hopf 分岔附近的动力学。主要结果是确定了连接极限环的 1:2 和 1:3 强共振的独特结构。该结构在 Hopf-Hopf 点附近被发现，表明它可能与共振情况有关，并可能为这种三维分岔产生的动力学提供有用的信息。
