Computation of Periodic Solutions in Differential Systems of First Order

机译：一阶微分系统中周期解的计算

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The aim of this work is to present a new symbolic computation tool as well as a symbolic algorithm to compute periodic solutions in systems of differential equations of first order via an adaptation of the Poincaré - Lindstedt technique.

机译：这项工作的目的是提出一种新的符号计算工具以及一种符号算法，以通过适应Poincaré-Lindstedt技术来计算一阶微分方程组中的周期解。

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《International Conference on Mathematics and Computers in Sciences and in Industry》|2015年|43-48|共6页
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Juan F. Navarro;
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Poincar????-Lindstedt; Symbolic computation; periodic solutions;

机译：Poincar ??????-Lindstedt;符号计算;周期解;

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1. A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems [J] . Guillot Louis, Lazarus Arnaud, Thomas Olivier, Journal of Computational Physics . 2020,第1期

机译：一种纯频率的浮子山山山，用于普通差分系统周期解的有效稳定性计算
2. H _2-norm computation of linear time-varying periodic systems via the periodic Lyapunov differential equation [J] . Peng H., Wu Z., Zhong W. International Journal of Control . 2011,第10a12期

机译：基于周期Lyapunov微分方程的线性时变周期系统的H _2范数计算
3. Connecting orbits from synchronous periodic solutions to phase-locked periodic solutions in a delay differential system [J] . Chen YM., Krisztin T., Wu JH. Journal of Differential Equations . 2000,第1期

机译：时滞差分系统中从同步周期解到锁相周期解的连接轨道
4. Computation of Periodic Solutions in Differential Systems of First Order [C] . Juan F. Navarro International Conference on Mathematics and Computers in Sciences and in Industry . 2015

机译：第一阶差分系统中定期解的计算
5. Pseudo almost periodic solutions to some systems of nonlinear hyperbolic second-order partial differential equations. [D] . Al-Islam, Najja Shakir. 2009

机译：某些非线性双曲型二阶偏微分方程组的伪几乎周期解。
6. Periodic Solutions for Nonlinear Integro-Differential Systems with Piecewise Constant Argument [O] . Kuo-Shou Chiu -1

机译：分段常数非线性积分微分系统的周期解。
7. Connecting Orbits from Synchronous Periodic Solutions to Phase-Locked Periodic Solutions in a Delay Differential System [O] . Chen Yuming, Wu Jianhong, Krisztin Tibor 2000

机译：时滞微分系统中从同步周期解到锁相周期解的轨道连接
8. PART I Recent Work on Families of Periodic Solutions of Ordinary Differential Equations. PART II Singular Solutions of Systems of Real Analytic Equations. PART III The Stromgren-Wintner Principle on the Termination of Families of Periodic Solutions. [R] . Daniel C. Lewis 1959

机译：第一部分关于常微分方程周期解族的近期研究。第二部分实分析方程组的奇异解。第三部分stromgren-Wintner关于终止家庭周期解的原则。

Computation of Periodic Solutions in Differential Systems of First Order

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