Bifurcation and Chaos in Coupled BVP oscillators
Bifurcation and Chaos in Coupled BVP oscillators
复制标题
DOI：
10.1142/s0218127404009983
复制
发表时间：
2004-04
期刊：
影响因子：
--
通讯作者：
T. Ueta;H. Miyazaki;T. Kousaka;H. Kawakami
中科院分区：
文献类型：
--
作者：
T. Ueta;H. Miyazaki;T. Kousaka;H. Kawakami
Bonhoffer-van der Pol（BVP）振子是平面自治系统中表现典型非线性现象的经典模型。本文分析了电阻耦合的两个边值问题振子的平衡点、周期解、奇异吸引子。当一个振子的参数值固定在非振荡区，而其它振子的参数值固定在振荡区时，由于耦合作用产生双涡卷吸引子。通过数值计算得到了该模型的分岔图，明确了混沌参数区域。我们还证实了倍周期级联和混沌吸引子在实验室中的存在。
Bonhoffer–van der Pol(BVP) oscillator is a classic model exhibiting typical nonlinear phenomena in the planar autonomous system. This paper gives an analysis of equilibria, periodic solutions, strange attractors of two BVP oscillators coupled by a resister. When an oscillator is fixed its parameter values in nonoscillatory region and the others in oscillatory region, create the double scroll attractor due to the coupling. Bifurcation diagrams are obtained numerically from the mathematical model and chaotic parameter regions are clarified. We also confirm the existence of period-doubling cascades and chaotic attractors in the experimental laboratory.