【摘要】：以廣義Hamilton系統(tǒng)為基礎(chǔ),通過(guò)增加耗散量和外部輸入,形成廣義耗散Hamilton系統(tǒng)。通過(guò)配置廣義耗散Hamilton系統(tǒng)的結(jié)構(gòu)矩陣和外部輸入,提出一個(gè)簡(jiǎn)單三維單平衡點(diǎn)系統(tǒng)來(lái)說(shuō)明此類系統(tǒng)存在混沌行為。借助相圖、龐加萊截面、Lyapunov指數(shù)譜、分形圖和功率譜等數(shù)值分析方法說(shuō)明當(dāng)外部輸入逐步增強(qiáng)時(shí)該系統(tǒng)存在周期軌道和混沌運(yùn)動(dòng)。與一般已知的三維混沌系統(tǒng)相比,該系統(tǒng)的特點(diǎn)為:耗散性與系統(tǒng)的狀態(tài)變量相關(guān);處于混沌狀態(tài)時(shí)的系統(tǒng)的Lyapunov維數(shù)接近3。最后設(shè)計(jì)了該系統(tǒng)的實(shí)驗(yàn)電路,示波器觀測(cè)到的實(shí)驗(yàn)結(jié)果進(jìn)一步驗(yàn)證了該系統(tǒng)確實(shí)存在混沌行為。
[Abstract]:Based on the generalized Hamilton system, the generalized dissipative Hamilton system is formed by increasing the dissipative amount and external input. By configuring the structure matrix and external input of the generalized dissipative Hamilton system, a simple three-dimensional single equilibrium point system is proposed to illustrate the chaotic behavior of the system. With the help of phase diagram, Lyapunov exponent spectrum of Poincare cross section, fractal diagram and power spectrum, it is shown that the system has periodic orbit and chaotic motion when the external input is gradually enhanced. Compared with the known three dimensional chaotic system, the system is characterized by the following characteristics: the dissipation is related to the state variables of the system, and the Lyapunov dimension of the system in the chaotic state is close to 3. Finally, the experimental circuit of the system is designed, and the experimental results obtained by oscilloscope further verify the existence of chaos in the system.
【作者單位】： 天津科技大學(xué)產(chǎn)品設(shè)計(jì)系;天津大學(xué)電氣工程與自動(dòng)化學(xué)院;濱州學(xué)院物理與電子科學(xué)系;天津科技大學(xué)電子信息與自動(dòng)化學(xué)院;
【基金】：國(guó)家自然科學(xué)基金(61573199,61403274) 天津市應(yīng)用基礎(chǔ)與前沿技術(shù)研究基金(13JCQNJC03600)
【分類號(hào)】：O415.5

【相似文獻(xiàn)】

相關(guān)重要報(bào)紙文章 前2條

1 商務(wù)部國(guó)際貿(mào)易經(jīng)濟(jì)合作研究院研究員 梅新育;治通脹不可忽視外部輸入特征[N];江蘇經(jīng)濟(jì)報(bào);2007年

2 早報(bào)特約評(píng)論員 梅新育;治通脹不可忽視外部輸入特征[N];東方早報(bào);2007年

，

本文編號(hào)：2229969