一类有理差分方程的解的渐近稳定性Asymptotic Stability of Solutions for a Class of Rational Difference Equations
王丽,全卫贞,黄日娣,周敬人
摘要(Abstract):
使用动力学理论、Jacobian矩阵、Routh-Hurwitz判别法、Schur-Cohn判别法等方法研究了一类有理差分方程■,n=0,1,2,…的解{x_n}~∞_(n=-2)的渐近稳定性,其中各项系数、初始值都是正实数,并给出平衡点是汇点、双曲点以及非双曲点的条件.
关键词(KeyWords): 有理差分方程;渐近稳定性;Jacobian矩阵;Routh-Hurwitz判别法;Schur-Cohn判别法
基金项目(Foundation): 广东省高等职业教育教学改革研究与实践项目(GDJG2019460);; 广东省普通高校特色创新项目(2020KTSCX351)
作者(Author): 王丽,全卫贞,黄日娣,周敬人
DOI: 10.16393/j.cnki.37-1436/z.2022.05.025
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