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一类高阶离散系统的动力学

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离散系统是一个多样化的领域,它几乎影响纯数学和应用数学的每一个分支,并在许多领域具有重要应用。本文研究一类高阶离散系统,并利用代数和分析方法得到了系统的解析解。此外,还研究了系统解的敛散性。最后,通过数值模拟验证了理论结果。
Dynamics of a class of high-order discrete systems
Discrete systems constitute a diverse field which impacts almost every branch of pure and applied mathematics and has important applications in many fields.In this paper,a class of high-order discrete systems was investigated and the analytic solutions of the system were obtained by using algebraic and analytical methods.Furthermore,the convergence and divergence of the solutions of the system were investigated.Finally,the theoretical results were verified by numerical simulations.

discrete systemconvergencestabilityanalytic solutions

王琦、尤卫玲、谭志明

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广东开放大学 公共课教学部,广东 广州 510091

离散系统 收敛性 稳定性 解析解

2025

广西科技大学学报
广西科技大学

广西科技大学学报

影响因子:0.519
ISSN:1004-6410
年,卷(期):2025.36(1)