. depending on the global qualitative analysis of parameters , we show that the system exhibits " paradox enrichment " for some parameters , a global stable attractor ( ie , positive equilibrium ) for some parameters and a unique stable limit cycle for some other parameters . the bifurcation analysis of system ( 1 ) indicates that it exhibits numerous kinds of bifurcation phenomena including the saddle - node bifurcation . hopf bifurcation , and the homoclinic bifurcation全文共分成二部分。在第一部分中,我們討論系統(tǒng)( 1 )在b - 2a ~ ( 1 / 2 )時(shí)的全局動力學(xué)行為,對參數(shù)的全局定性分析表明在某些參數(shù)域中系統(tǒng)( 1 )展示“富食悖論”現(xiàn)象,在某些參數(shù)域中系統(tǒng)( 1 )具有全局穩(wěn)定的吸引子(即正平衡點(diǎn)) ,在某些參數(shù)域中系統(tǒng)( 1 )有穩(wěn)定的唯一極限環(huán)。 內(nèi)有更多更詳細(xì)關(guān)于stable limit cycle的造句" />
Simulation results indicate that a stable limit cycle of dynamic walking is achieved , the planned walking pattern is realized , and the effectiveness of the proposed method is verified 仿真實(shí)驗(yàn)表明,動態(tài)步行趨于一個(gè)穩(wěn)定的極限環(huán),實(shí)現(xiàn)了規(guī)劃的行走模式,驗(yàn)證了該方法的有效性。
We show the global dynamics of system ( 1 ) for different parameters . this article consists of two sections , in the first section , we study the global dynamics of system ( l ) when b > . depending on the global qualitative analysis of parameters , we show that the system exhibits " paradox enrichment " for some parameters , a global stable attractor ( ie , positive equilibrium ) for some parameters and a unique stable limit cycle for some other parameters . the bifurcation analysis of system ( 1 ) indicates that it exhibits numerous kinds of bifurcation phenomena including the saddle - node bifurcation . hopf bifurcation , and the homoclinic bifurcation 全文共分成二部分。在第一部分中,我們討論系統(tǒng)( 1 )在b - 2a ~ ( 1 / 2 )時(shí)的全局動力學(xué)行為,對參數(shù)的全局定性分析表明在某些參數(shù)域中系統(tǒng)( 1 )展示“富食悖論”現(xiàn)象,在某些參數(shù)域中系統(tǒng)( 1 )具有全局穩(wěn)定的吸引子(即正平衡點(diǎn)) ,在某些參數(shù)域中系統(tǒng)( 1 )有穩(wěn)定的唯一極限環(huán)。
It's difficult to find stable limit cycle in a sentence. 用stable limit cycle造句挺難的