Explicit Expression of Limit Cycles of Planar Systems with Desired Periods

机译：具有期望周期的平面系统极限环的显式表达

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In this paper we construct a family of planar (polynomial or non-polynomial) differential systems with a prescribed hyperbolic limit cycle. This family constitutes of a version wider than the form given by the work of J. Gine, M. Grau (2006). The result could be utilized for the synthesis problem, i.e. the construction of oscillator circuits yielding desired periodic behavior.

机译：在本文中，我们构造了具有规定双曲极限环的平面（多项式或非多项式）微分系统族。这个家族的版本比J. Gine，M. Grau（2006）的著作所给出的形式要宽。该结果可用于综合问题，即产生期望的周期性行为的振荡器电路的构造。

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来源
《Mathematical methods for information science and economics》|2012年|43-46|共4页
会议地点 Montreux(CH)
作者
Khalil Al-Dosary;
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作者单位

Department Mathematics / College of Sciences University of Sharjah, P.O. Box 27272 UNITED ARAB EMIRATES;

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会议组织
原文格式 PDF
正文语种 eng
中图分类
关键词
Limit cycle; planar differential system; star-shaped function;

机译：极限循环平面差动系统星形功能;

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2. A class of planar differential systems with explicit expression for two limit cycles [J] . Hamizi S. E., Boukoucha R Sibirskie elektronnye matematicheskie izvestiia: Siberian Electronic Mathematical Reports . 2020,第36期

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3. Limit cycle bifurcations near a 2-polycycle or double 2-polycycle of planar systems [J] . Junmin Yang, Yanqin Xiong, Maoan Han Nonlinear Analysis: An International Multidisciplinary Journal . 2014,第Null期

机译：平面系统的2个多周期或双2个多周期附近的极限环分支
4. Explicit Expression of Limit Cycles of Planar Systems with Desired Periods [C] . Khalil Al-Dosary WSEAS International Conference on Applied Mathematics . 2013

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6. Spatial and Temporal Expression of the period andtimeless Genes in the Developing Nervous System ofDrosophila: Newly Identified Pacemaker Candidates and Novel Features of Clock Gene Product Cycling [O] . Maki Kaneko, Charlotte Helfrich-Förster, Jeffrey C. Hall 1997

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7. Polynomial differential systems with explicit non-algebraic limit cycles [O] . Benterki Rebiha 2012

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8. Limit Cycles of Planar Quadratic Differential Equations [R] . Koditschek, D. E., Narendra, K. S. 1982

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Explicit Expression of Limit Cycles of Planar Systems with Desired Periods

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