region n. 1.地方,地域,地帶;地區;行政區,管轄區,區;左近,鄰近;(大氣、海水等的)層,界,境。 2.【解剖學;動物學】(身體的)局部,部位。 3.(學問等的)范圍,領域。 4.〔罕用語〕天空。 a fertile region 肥沃地帶。 a desert region 沙漠地帶。 forest regions 森林地帶。 the lower [infernal, nether] regions 地獄。 the middle [lower, upper] region of the air 大氣的中[下、上]層。 the operating region 工作范圍。 in the region of 在…附近,在…的左右(in the region of 45 dollars 四十五美元左右)。
Parameter region for existence of solitons in generalized kdv equation 方程孤子解的存在參數區
The results show that the nonlinear instability of system can appear in certain parameter region 表明了在一定的條件下,系統將出現非線性不穩定,這構成了論文的第二章。
The results obtained by the dissertation show that there exist the chaotic motions in some parameter regions . the research contents and the major results obtained in this dissertation are as follows 本文研究了倒立擺系統的非線性動力學,表明倒立擺系統在某些參數區域內可以出現分叉和混沌運動。
By using qualitative theory of ordinary differential equations , we have analyzed the equilibrium points , obtained the parameter region of the existence , uniqueness and nonexistence of limit cycle of the above system 應用常微分方程定性理論,對該系統的平衡點進行分析,得到了極限環存在唯一性及不存在的參數范圍。
The results demonstrate that the tilted phase affects not only the relative shift and the transition height rather than the turning point , but also affects the truncation parameter region when the focal switch appears 研究結果表明,相位傾斜影響了相對焦移量、相對躍變量和焦開關發生的位置,同時也影響焦開關出現時截斷參數的取值范圍。
The nonlinear electromagnetic force may cause the large oscillations of the rotor in some parameter regions . thus , the studies on the properties of the nonlinear dynamics and the stability for the rotor - ambs system play an important role in the engineering 非線性力的作用使轉子在某些參數域中產生相當大的振動,因此分析該類系統的非線性振動特性和穩定性一直是電磁軸承-轉子動力學研究的重要課題。
The stability and bifurcation condition of rotor system are obtained and the way to improve system stability and reduce the vibration amplitude through adjusting system parameters is indicated ; 3 ) the strong nonlinear dynamic characteristic of high - speed rotor system is studied . the movement trend of system and the effect of system parameters to dynamic characteristic are indicated . the deference of the strong / weak nonlinear system and the unique characteristic of the strong soft - nonlinear system are pointed out ; 4 ) the bifurcation behavior of nonlinear rotor system is studied and the parameter region when chaos phenomenon is appeared is obtained in bifurcation and chaos theory 研究了系統的穩定性條件和發生分岔的條件,提出了通過改變參數來提高系統穩定性和抑制振幅的方法; 3 )運用強非線性理論研究了輕型高速轉子系統在大擾動條件下的強非線性主共振和1 / 3亞諧共振的動力學特性,給出在強非線性條件下系統的運動趨勢和系統參數對系統動力學特性的影響,并進一步指出強/弱非線性系統、軟/硬非線性系統的區別以及強軟非線性系統的獨有特性。
In this paper periodically perturbed hopf bifurcation to lienard equation with limited time delay is sdudied in detail . that is , the influence of small periodic perturbations on system exhibiting hopf bifurcation is sdudied . in particular , the excitation frequency and the critical natural frequency of hopf bifurcation in the cases of harmonic resonance . subharmonic resonance , ultraharmonic resonance , and ultrasubharmonic resonance is discussed . it is shown that in some parameter regions the sestyms exhibit harmonic solution bifurcation , subharmonic solution bifurcation , ultraharmonic solution bifurcation , ultrasubharmonic solution bifurcation and quasi - periodic solution 本文詳細研究了具有限時滯li nard方程的周期擾動hopf分支,即在該系統經歷hopf分支時,研究小周期擾動對系統的影響,特別是討論了擾動頻率與hopf分支周期解的固有頻率在共振、次調和共振、超調和共振、超次調和共振的情形。