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：
讨论了分段线性的电容混沌电路的动力学行为.由数值模拟得到了对称的周期解和混沌吸引子.通过引入广义Jacobian矩阵,以周期解为例,从理论上分析了系统由电容电量的分段线性而引起的非光滑分岔,并合理解释了系统动力学行为产生的机理及其演化规律,其结论与数值计算的结果大致符合.
英文摘要：
The dynamics of a nonlinear capacitor circuit is investigated in this paper.The symmetric periodic solution and the chaotic attractor can be observed in numerical simulations.Furthermore,the generalized Jacobian matrix at the nonsmooth boundaries is introduced to explore the non-smooth bifurcation mechanism for the periodic solutions.Discontinuous bifurcation in the combination of the Hopf bifurcation and the turning point bifurcation occurs at the non-smooth boundaries.Here,the Hopf bifurcation may result in a new frequency,which leads to periodic oscillation.With the variation of the parameter,the periodic symmetric solution oscillates more quickly,which can also be explained through non-smooth bifurcation,and the conclusion accord well with the numerical results.
同期刊论文项目
同项目期刊论文
Adaptive modified function projective synchronization of hyperchaotic systems with unknown parameter
Complicated behaviors induced by switching boundaries as well as the bifurcation mechanism in piecew
Bursting phenomena as well as the bifurcation mechanism in controlled Lorenz oscillator with two tim
Adaptive synchronization of two nonlinearly coupled complex dynamical networks with delayed coupling
期刊信息
位置：