The cyclicity of the period annulus of a class of quadratic reversible system

Shao Y.; Zhao Y.

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The cyclicity of the period annulus of a class of quadratic reversible system

机译：一类二次可逆系统的周期环的周期性

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摘要

In this paper, we study the bifurcation of limit cycles of a class of planar quadratic reversible system x = y + 4x ~2, y = -x + 2xy under quadratic perturbations. It is proved that the cyclicity of the period annulus is equal to two.

机译：本文研究一类平面二次可逆系统在二次扰动下的极限环的分岔x = y + 4x〜2，y = -x + 2xy。证明了周期环的周期性等于二。

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来源
《Communications on pure and applied analysis》 |2012年第3期|共15页
作者
Shao Y.; Zhao Y.;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Limit cycle; Period annulus; Quadratic center;

机译：极限环;周期环;二次中心;

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专利

1. The cyclicity of the period annulus of a class of quadratic reversible system [J] . Shao Y., Zhao Y. Communications on pure and applied analysis . 2012,第3期

机译：一类二次可逆系统的周期环的周期性
2. Cyclicity of period annulus of a quadratic reversible system with degenerate critical point [J] . Liang H., Huang J. International journal of bifurcation and chaos in applied sciences and engineering . 2013,第6期

机译：具有退化临界点的二次可逆系统的周期环的周期性
3. THE CYCLICITY OF THE PERIOD ANNULUS OF A QUADRATIC REVERSIBLE SYSTEM WITH A HEMICYCLE [J] . Linping Peng, Yazhi Lei Discrete and continuous dynamical systems . 2011,第3期

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4. Mean cyclic period of polling model with double classes of objects in each queue [C] . Hongxia Yin, Zhi Wang, Tian Ran Wang, Industrial Electronics Society, 2003. IECON '03. The 29th Annual Conference of the IEEE . 2003

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5. Quadratic stability and block diagonal quadratic stability analysis for a special class of nonlinear systems. [D] . Chow, Yin-Lam. 2011

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6. Observer and descriptor satisfying incremental quadratic constraint for class of chaotic systems and its applications in a quadrotor chaotic system [O] . Muhammad Sabir, Muhammad Marwan, Salman Ahmad, -1

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7. The cyclicity of period annuli of a class of quadratic reversible systems with two centers [O] . Liu Changjian 2012

机译：一类具有两个中心的二次可逆系统的周期环的周期性

The cyclicity of the period annulus of a class of quadratic reversible system

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