讨论了具时滞与分段常数变量的捕食-食饵生态模型的稳定性及neimark-sacker分支;通过计算得到连续模型对应的差分模型,基于特征值理论和schur-cohn判据得到正平衡态局部渐进稳定的充分条件;以食饵的内禀增长率为分支参数,运用分支理论和中心流形定理分析了neimark-sacker分支的存在性与稳定性条件;通过举例和数值模拟验证了...
内容提示: 三自由度含间隙碰撞振动系统Neimark-Sacker 分岔的反控制伍新 文桂林 徐慧东 何莉萍Anti-controlling Neimark-Sacker bifurcation of a three-degree-of-freedom vibration system with clear-anceWu Xin Wen Gui-Lin Xu Hui-Dong He Li-Ping引用信息 Citation: Acta Physica Sinica, 64, 200504 (2015...
stability and direction of Neimark-Sacker bifurcation are studied. Numerical simulations are employed to validate the main results of this work. Some comparison of bifurcation between the discrete-time financial system and its continuous-time systemis given. 1. Introduction Economic dynamics have rec...
The Neimark-Sacker bifurcation of the system is analyzed especially,which are illustrated on phase graphics nearby the point of Neimark-Sacker bifurcation. 用数值计算和非线性理论分析了二维滞后Logistic系统在发生Neimark-Sacker分岔点附近的动力学行为。2...
Neimark-Sacker bifurcation and evidence of chaos ina discrete dynamical model of walkersAminur RahmanDepartment of Mathematical SciencesNew Jersey Institute of TechnologyNewark, NJ 07102-1982ar276@njit.edu* * * * *Denis BlackmoreDepartment of Mathematical SciencesNew Jersey Institute of TechnologyNewark,...
Neimark-Sacker bifurcationIn this article we show how a change of a box dimension of orbits of two-dimensional discrete dynamical systems is connected to their bifurcations in a non-hyperbolic fixed point. This connection is already shown in the case of one-dimensional discrete dynamical systems ...
Neimark–Sacker bifurcationtranscritical bifurcationIn this paper, we study the conditions under which the following symmetric system of difference equations with exponential terms: \\[ x_{n+1} =a_1\\frac{y_n}{b_1+y_n} +c_1\\frac{x_ne^{k_1-d_1x_n}}{1+e^{k_1-d_1x_n}},...
sackerneimarkvibrobifurcationpoincarebifurcations Neimark–Sacker-pitchfork bifurcation of the symmetric period fixed point of the Poincare´ map in a three-degree-of-freedom vibro-impact system Yuan Yue n , Jianhua Xie School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031...
Here, making use of the periodically modulated open quantum dimer model, we report and investigate a quantum Neimark-Sacker bifurcation. Its classical counterpart is the birth of a torus (an invariant curve in the Poincar茅 section) due to instability of a limit cycle (fixed point of the ...
In this paper, we investigate the existence and direction of the NeimarkSacker bifurcation of a third-order rational difference equation with positive parameters. Firstly, it is found that there exists a NeimarkSacker bifurcation when the parameter passes a critical value by analysing the characterist...