欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
对Lifinard振子系统引入时滞反馈，定性地研究时滞反馈对Lifinard振子系统周期解的影响，发现时滞可使系统出现多个周期解共存的现象．利用一阶近似多尺度法直接地预测了由时滞导致的系统周期解个数及其稳定性随着时滞反馈增益和时滞量的变化规律．数值上采用四阶Runge-Kutta法，验证了理论分析结果的有效性，并划分不同周期解所对应的吸引域．研究结果对控制系统的镇定和系统同步有着潜在的应用价值．
英文摘要：
An investigation is made of the effects of delayed feedbacks on periodic solutions of Liénard system qualitatively by introducing delayed state feedbacks into the normal form of Liénard system. There coexist multiple solutions derived from the delayed feedbacks. This paper presents an analytical prediction of the number and the stability of periodic solutions with the feedback-gain and the delay varying. The analytical results are in agreement with the numerical ones from the 4^th-order RungeKutta approach, which validates the analytical results. And the attraction basins of different periodic solutions are also classified by the Runge-Kutta approach. The research result has a prospective applicability to the stabilization of controlled systems and synchronization with other systems.
同期刊论文项目
同项目期刊论文
Fold-Hopf bifurcation in a simplified four-neuron BAM (bidirectional associative memory) neural netw
Projective synchronization of different chaotic time-delayed neural networks based on integral slidi
Effects of Delayed Feedback on a Parametrically Excited System with Quadratic and Cubic Nonlineariti
期刊信息
位置：