Qualitative Behavior of a Rational Difference Equation x_{n+1}=ax_n^2/(cx_n+bx_{n-1})

机译：有理差分方程x_ {n + 1} = ax_n ^ 2 /（cx_n + bx_ {n-1}）的定性行为

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his paper is concerned with the following rational difference equation x_{n+1}=ax_n^2/(cx_n+bx_{n-1}), with the initial conditions x_{-1}, x_0 are arbitrary positive real numbers, and a,b,c are positive constants. Locally asymptotically stability global attractivity and boundedness character of the equilibrium point of the equation are investigated. Moreover, simulation is shown to support the results.

机译：他的论文涉及以下有理差分方程x_ {n + 1} = ax_n ^ 2 /（cx_n + bx_ {n-1}），初始条件x _ {-1}，x_0是任意正实数，并且a，b，c是正常数。研究了方程的平衡点的局部渐近稳定性的全局吸引性和有界性。而且，显示了仿真来支持结果。

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来源
《2011 Tenth International Symposium on Distributed Computing and Applications to Business, Engineering and Science》|2011年|p.151-154|共4页
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作者
Qian Xiao; Qi-Hong Shi;
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正文语种
中图分类 TP338.84;
关键词
Attractivity; Boundedness; Global stability; Numerical simulation;

机译：吸引力;有界;整体稳定性;数值模拟;

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机译：关于有理差分方程组的解的行为：X_（n + 1）= x_（n-1）/ y_nx_（n-1）-1），y_（n + 1）= y_（n-1） /（x_n y_（n-1）-1）和z_（n + 1）= z_（n-1）/（y_nz_（n-1）-1）
2. ON A SYSTEM OF RATIONAL DIFFERENCE EQUATIONS x_(n+1) = x_(n-1)/y_n x_(n-1)-1, y_(n+1)=y_(n-1)/x_n y_(n-1)-1,z_(n+1)=1/y_n z_(n+1) [J] . K. Liu, P. Li, W. Zhong Fasciculi mathematici . 2013,第51期

机译：在有理差分方程组上x_（n + 1）= x_（n-1）/ y_n x_（n-1）-1，y_（n + 1）= y_（n-1）/ x_n y_（n- 1）-1，z_（n + 1）= 1 / y_n z_（n + 1）
3. Global Dynamics of Rational Difference Equations x_(n+1) = (xn + x_(n-1))/(q + y_ny_(n-1)) and y_(n+1) = (y_n + y_(n-1))/(p + x_nx_(n-1)) [J] . Keying Liu, Peng Li, Weizhou Zhong Discrete dynamics in nature and society . 2017,第Pta1期

机译：rational差分方程的全局动态x_（n + 1）=（xn + x_（n-1））/（q + y_ny_（n-1））和y_（n + 1）=（y_n + y_（n-1 ））/（p + x_nx_（n-1））
4. Qualitative Behavior of a Rational Difference Equation x_{n+1}=ax_n^2/(cx_n+bx_{n-1}) [C] . Qian Xiao, Qi-Hong Shi International Symposium on Distributed Computing and Applications to Business, Engineering and Science . 2010

机译：Rational差异方程的定性行为x_ {n + 1} = ax_n ^ 2 /（cx_n + bx_ {n-1}）
5. Global behavior of solutions to a class of second-order rational difference equations. [D] . Basu, Sukanya. 2009

机译：一类二阶有理差分方程解的整体行为。
6. Qualitative Theory of Differential Equations Difference Equations and Dynamic Equations on Time Scales [O] . Tongxing Li, Martin Bohner, Tuncay Candan, 2016

机译：时间尺度上的微分方程差分方程和动态方程的定性理论
7. On the difference equation $x_{n+1}=dfrac{a_{0}x_{n}+a_{1}x_{n-1}+dots +a_{k}x_{n-k}}{b_{0}x_{n}+b_{1}x_{n-1}+dots +b_{k}x_{n-k}} $ [O] . E. M. Elabbasy, H. El-Metwally, E. M. Elsayed 2008

机译：在差分方程$ x_ {n + 1} = dfrac {a_ {0} x_ {n} + a_ {1} x_ {n-1} + dot to + a_ {k} x_ {nk}} {b_ { 0} x_ {n} + b_ {1} x_ {n-1} + dots + b_ {k} x_ {nk}} $

Qualitative Behavior of a Rational Difference Equation x_{n+1}=ax_n^2/(cx_n+bx_{n-1})

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