Limit cycles in a class of biochemistry reaction systems

Liu XG

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Limit cycles in a class of biochemistry reaction systems

机译：一类生物化学反应系统中的极限循环

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摘要

This paper considers the qualitative analysis of a class of biochemistry reaction system of the form x = a - bx - xy(n), y = bx - y + xy(n). Some sufficient conditions for the boundedness of solutions and the existence of limit cycle are obtained.

机译：本文考虑了一类生物化学反应系统的定性分析，其形式为x = a-bx-xy（n），y = bx-y + xy（n）。获得了解的有界性和极限环存在的一些充分条件。

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《Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis》 |2005年第5期|共10页
作者
Liu XG;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
biochemistry reaction systems; boundedness of solutions; limit cycle; existence; PREDATOR-PREY MODEL;

机译：生化反应系统;溶液的有界性;极限环;存在性;PREDATOR-PREY模型;

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专利

1. Limit cycles in a class of biochemistry reaction systems [J] . Liu XG Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis . 2005,第5期

机译：一类生物化学反应系统中的极限循环
2. Bifurcation of limit cycles, classification of centers and isochronicity for a class of non-analytic quintic systems [J] . Li Feng, Qiu Jianlong, Jing Li Nonlinear dynamics . 2014,第1期

机译：一类非解析五阶系统的极限环分岔，中心分类和等时性
3. Erratum to: Bifurcation of limit cycles, classification of centers and isochronicity for a class of non-analytic quintic systems [J] . Li Feng, Qiu Jianlong, Li Jing Nonlinear dynamics . 2014,第1期

机译：勘误至：一类非解析五次系统的极限环分岔，中心分类和等时性
4. Bifurcation of multiple limit cycles for the systems of thermonuclear reaction in Tokamaks [C] . Li Jing, Wei Xiaoli, Wei Deng Power Engineering and Automation Conference (PEAM), 2011 IEEE . 2011

机译：托卡马克热核反应体系的多个极限环的分叉
5. On stability and limit cycles in nonlinear dynamical systems [D] . Shafik, Emad Nazmi 1997

机译：关于非线性动力系统的稳定性和极限环
6. A versatile class of prototype dynamical systems for complex bifurcation cascades of limit cycles [O] . Bulcsú Sándor, Claudius Gros -1

机译：一类通用的原型动力学系统用于极限环的复杂分叉级联
7. Nonuniqueness of stable limit cycles in a class of enzyme catalyzed reactions [O] . Erle Dieter 1981

机译：一类酶催化反应中稳定极限环的非唯一性
8. Separatrix Cycles and Multiple Limit Cycles in a Class of Quadratic Systems [R] . Zegeling, A. 1990

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Limit cycles in a class of biochemistry reaction systems

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