A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems

Guillot Louis; Lazarus Arnaud; Thomas Olivier; Vergez Christophe; Cochelin Bruno

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A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems

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

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来源
《Journal of Computational Physics》 |2020年第1期|共20页
作者
Guillot Louis; Lazarus Arnaud; Thomas Olivier; Vergez Christophe; Cochelin Bruno;
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作者单位

Aix Marseille Univ CNRS Cent Marseille LMA Marseille France;

Sorbonne Univ CNRS UMR 7190 Inst Jean Le Rond dAlembert F-75005 Paris France;

HESAM Univ LISPEN Arts &

Metiers Inst Technol F-59000 Lille France;

Aix Marseille Univ CNRS Cent Marseille LMA Marseille France;

Aix Marseille Univ CNRS Cent Marseille LMA Marseille France;

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原文格式 PDF
正文语种 eng
中图分类数学物理方法;
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入库时间 2022-08-20 09:00:33

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专利

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. A high-order, purely frequency based harmonic balance formulation for continuation of periodic solutions: The case of non-polynomial nonlinearities [J] . Karkar S., Cochelin B., Vergez C. Journal of Sound and Vibration . 2013,第4期

机译：一个高阶的，基于频率的，基于谐波的平衡表示法，用于周期解的延续：非多项式非线性的情况
3. A high order purely frequency-based harmonic balance formulation for continuation of periodic solutions [J] . Cochelin B., Vergez C. Journal of Sound and Vibration . 2009,第1a2期

机译：用于周期解的高阶纯频率谐波平衡公式
4. Optimal Estimation of Unknown Right-Hand Sides of First Order Linear Systems of Periodic Ordinary Differential Equations from Indirect Noisy Observations of Their Solutions [C] . Oleksandr Nakonechnyi, Yuri Podlipenko IEEE International Conference on System Analysis and Intelligent Computing . 2020

机译：从其解的间接噪声观测值估计一阶常微分方程线性系统的未知右手边的最优估计
5. Geometric field stability and normal field curvature of solution sets of ordinary differential equations in two variables. [D] . Kerns, Leslie L. 2006

机译：具有两个变量的常微分方程解集的几何场稳定性和法向曲率。
6. Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations [O] . Gabil M. Amiraliyev, Aysenur Ucar 2013

机译：奇摄动常微分方程时间周期解的渐近界
7. A high-order, purely frequency based harmonic balance formulation for continuation of periodic solutions: The case of non-polynomial nonlinearities [O] . Karkar Sami, Cochelin Bruno, Vergez Christophe 2013

机译：一个高阶的，基于频率的，基于谐波的平衡表示法，用于周期解的延续：非多项式非线性的情况
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。

A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems

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