摘要
针对扩展bonhoeffer-van der pol(BVP)振子易受不确定因素影响的问题,提出了将非线性动力学分析与数值模拟相结合的方法,并考察了弱扰动对混合模式振荡类型和同步行为的影响.根据模拟结果得知,多种类型的混合模式振荡受弱扰动的影响出现了坍塌现象,且从理论上证明了两个耦合bonhoeffer-van der pol振子的膜电压比慢变量到达完全同步时所需的耦合强度要大,在二维参数平面上,膜电压到达同步时所取参数范围应小些.结果表明,与膜电压相比,慢变量更容易达到同步,且变量之间呈现一种线性关系.
Aiming at the problem that the extended bonhoeffer-van der pol oscillator is easily affected by uncertainty factors, a method in combination with both nonlinear dynamics analysis and numerical simulation was proposed, and the influence of weak perturbation on the mixed-mode oscillation type and synchronization behavior was investigated. According to the simulated results, it is noted that the collapse phenomenon appears because the mixed-mode oscillation in several types is affected by the weak perturbation. It is theoretically proved that the coupled strength needed to reach the complete synchronization for the membrane voltage of two coupled bonhoeffer-van der pol oscillators is larger than that for the slow variable. On a 2D-parameter plane, the parameter range for the membrane voltage to reach the complete synchronization should be smaller. The results indicate that compared with the membrane voltage, the slow variable is easier to achieve the synchronization. Furthermore, a linear relationship between the variables is presented.
出处
《沈阳工业大学学报》
EI
CAS
北大核心
2017年第4期401-405,共5页
Journal of Shenyang University of Technology
基金
国家自然科学基金资助项目(NSFC61473237)
陕西省教育厅科研计划资助项目(15JK2181)
西京学院科研基金资助项目(XJ150204)
关键词
混合模式振荡
同步
耦合
慢变量
分岔
弱周期扰动
回归映射
混沌
mixed-mode oscillation
synchronization
coupling
slow variable
bifurcation
weak periodicperturbation
return map
chaos