Neimark-Sacker分支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...
We also consider a planar discrete system undergoing a NeimarkSacker bifurcation. It is shown that box dimension depends on the order of non-degeneracy at the non-hyperbolic fixed point and on the angledisplacement map. As it was expected, we prove that the box dimension is different in the...
In this article, for delayed Nicholson’s blowflies equation, we propose a hybrid control nonstandard finite-difference (NSFD) scheme in which state feedback and parameter perturbation are used to control the Neimark-Sacker bifurcation. Firstly, the local stability of the positive equilibria for hy...
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,...
通过分析随着参数的变化,特征根的变化情况,再应用Neimark-Sacker分支定理,本文给出了Neimark-Sacker分支存在的充分条件。 2. It is proved that there will be a Neimark-Sacker bifurcation at parameter value τh1=τ01+O(h) in the Euler discretization provided that there is Hopf bifurcation at parameter...
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}},...
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, China a r t i c l e i n f o ...
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 article, we investigate the existence and direction of the Neimark-Sacker bifurcation of the equation in the title with positive parameters and with arbitrary non-negative conditions. First, we study the existence of the Neimark-Sacker bifurcation of the system by analyzing the characteristi...
BIFURCATION theoryNUMERICAL solutions to differential equationsPIECEWISE constant approximationIn this paper, a differential equation with piecewise constant arguments model that describes a population density of a bacteria species in a microcosm is considered. The discretization process of a differential ...