Symbolic computation for the qualitative theory of differential equations

Bo Huang; Wei Niu; Dongming Wang

doi:10.1007/s10473-022-0617-7

Symbolic computation for the qualitative theory of differential equations

Bo Huang
, Wei Niu^*
, Dongming Wang

^*此作品的通讯作者

Beihang Hangzhou Innovation Institute Yuhang
CNRS

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

摘要

This paper provides a survey on symbolic computational approaches for the analysis of qualitative behaviors of systems of ordinary differential equations, focusing on symbolic and algebraic analysis for the local stability and bifurcation of limit cycles in the neighborhoods of equilibria and periodic orbits of the systems, with a highlight on applications to computational biology.

源语言	英语
页（从-至）	2478-2504
页数	27
期刊	Acta Mathematica Scientia
卷	42
期	6
DOI	https://doi.org/10.1007/s10473-022-0617-7
出版状态	已出版 - 11月 2022

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10.1007/s10473-022-0617-7

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title = "Symbolic computation for the qualitative theory of differential equations",

abstract = "This paper provides a survey on symbolic computational approaches for the analysis of qualitative behaviors of systems of ordinary differential equations, focusing on symbolic and algebraic analysis for the local stability and bifurcation of limit cycles in the neighborhoods of equilibria and periodic orbits of the systems, with a highlight on applications to computational biology.",

keywords = "34C07, 37G15, 68W30, biological systems, center-focus, limit cycles, qualitative analysis, symbolic computation",

author = "Bo Huang and Wei Niu and Dongming Wang",

note = "Publisher Copyright: {\textcopyright} 2022, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences.",

year = "2022",

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AU - Niu, Wei

AU - Wang, Dongming

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AB - This paper provides a survey on symbolic computational approaches for the analysis of qualitative behaviors of systems of ordinary differential equations, focusing on symbolic and algebraic analysis for the local stability and bifurcation of limit cycles in the neighborhoods of equilibria and periodic orbits of the systems, with a highlight on applications to computational biology.

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KW - 37G15

KW - 68W30

KW - biological systems

KW - center-focus

KW - limit cycles

KW - qualitative analysis

KW - symbolic computation

UR - https://www.scopus.com/pages/publications/85139691351

U2 - 10.1007/s10473-022-0617-7

DO - 10.1007/s10473-022-0617-7

M3 - 文章

AN - SCOPUS:85139691351

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SP - 2478

EP - 2504

JO - Acta Mathematica Scientia

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Symbolic computation for the qualitative theory of differential equations

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