Creation and disappearance of limit cycles in quadratic system 0類二次系統(tǒng)極限環(huán)的產(chǎn)生與消失
Limit cycle problem of quadratic system n 0的極限環(huán)問題
The planar quadratic system with an invariant cubic curve has at most one limit cycle 類方程的極限環(huán)存在性的注記
Sufficient and necessary conditions of existence of limit cycle for one kind quadratic system 一類二次系統(tǒng)極限環(huán)存在的充要條件
On the reflective function and the periodic solution of the second order differential quadratic systems 二次微分系統(tǒng)的反射函數(shù)及其周期解
The first 3 focus quantities and the first 3 saddle quantities are derived simply and quickly with the formulas for real planar quadratic systems 利用這一公式我們極其簡捷地推導(dǎo)出二次系統(tǒng)的前三個焦點量和鞍點量公式。
At the end of this paper we talk about the question of the maximal number of limit cycles in quadratic system and some applied uses in ecological circumstances 在本文的最后略為涉及hilbert第十六問題中的極限環(huán)的個數(shù)問題及其在生態(tài)環(huán)境上的應(yīng)用。
The results prove that df could simplify the solve process and its shortcoming of restriction in approximately denotation , frequency unitary 1 and inapplicability in more commonly quadratic system are also shown at the same time 結(jié)果證明:使用描述函數(shù)法能夠簡化該問題的求解,但也暴露出其存在著近似表示,頻率歸1以及更一般二階系統(tǒng)不適用等方面的局限和不足。
By using the known results of type quadratic system , we analyse thecreation and disappearance of limit cycles for type system as a = 0 , and obtainsome new topological structures of phase - portraits , which do not appear for type system 利用關(guān)于類二次系統(tǒng)的已知結(jié)果,在此文中我們系統(tǒng)分析了類二次系統(tǒng)當(dāng)= 0時其極限環(huán)的產(chǎn)生與消失的整個過程,并給出了一些新的拓撲結(jié)構(gòu)變化,它們在類系統(tǒng)中是不會出現(xiàn)的
In this paper we will prove that quadratic system has at most finitely limit cycles . bamon claimed that he had finished the demonstration of the finiteness of limit cycles , but he used il ' yashenko theorem , which involves some knowledge of complex domain , so it is the main idea to give il ' yashenko theorem an elementary proof in this paper 本文將用純初等方法研究二次系統(tǒng)極限環(huán)的有限性,雖然bamon宣布已經(jīng)完成了二次系統(tǒng)極限環(huán)的有限性證明,但其證明過程中用到了涉及復(fù)域的il ' yashenko定理,從而給il ' yashenko定理一個初等的證明是本文的主要思想。