非周期解 的英文怎麼說
中文拼音 [fēizhōuqījiě]
非周期解
英文
aperiodic solution-
Thirdly, we consider the n - dimensional duffing type equation with damping term. by virtue of homeomorphism, extension and fixed point method, we discuss the existence of periodic solution under the nonresonance condition
再次,我們考慮n維的帶有阻尼項的duffing型方程,運用同胚延拓及不動點方法,討論了非共振條件下周期解的存在性問題。The second section : under the conditions of nonlinear boundary controbility, we consider the initial boundary value problem of camassa - holm equations with dissipative. by using the contractive mapping fixed point theorem and a priori estimates, the existence of global smooth s olution, global attractor in h ~ ( 2 ), t ime p eriodic s olution or almost - periodic solution and the global exponential stability are proved
第二部分:在非線性控制邊界條件之下,對于帶耗散項的camassa ? holm方程的初邊值問題,用壓縮映射不動點原理及先驗估計方法,證明了整體光滑解的存在性、整體解的指數穩定性、 h ~ 2空間中整體吸引子的存在性以及時間周期解和殆時間周期解的存在性。In the second section of chapter 2, the fact that the essential interest rates of all nodes differ from each other is discussed, a non - homogeneous differential equation model of interest rate - amount of circulating fund is established, and it is proved that the sum of the weighted interest rates of each node in the financial network still remains a constant and that the difference of the instant interest rates between two nodes will finally approach the difference between their basic interest rates. in the third section of chapter 2, the differential equation model of interest rate - amount of circulating fund in an open system is studied, the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network, and the stability of equilibrium solution is proved based upon lyapunov stability theory. in the last, the equation model of interest rate - amount of circulating fund in the financial network with time delay is studied, and a necessary and sufficient condition for the existence of periodic solution is obtained to the interest rate - amount of circulating fund equation with delay
本文第二章首先建立了封閉系統的利率?流通量微分方程模型,證明了各結點利率加權和為常數即金融市場利率均衡原理,以及各結點利率極限為整個網路平均利率;其次在各結點基本利率不相同的情況下,建立了非齊次利率?流通量微分方程模型,證明了金融網路各結點利率加權和仍是一個常數,並證明了各結點兩兩之間的即時利率之差最終將穩定地趨于其基本利率差;此外,還研究了開放金融網路利率?流通量方程模型,考慮了結點自身追加資金和提走資金的情形以及網路外部注入資金和向外部轉移資金情形下的利率變化規律,用lyapunov穩定性理論證明了模型均衡解的穩定性;最後,還研究了具有時滯的金融網路利率?流通量方程模型,並給出了具有時滯金融網路的利率流通量方程具有周期解的充要條件。Periodic solution of a nonautonomous food chain system with type functional response and graze
某類有放養的捕食鏈非自治系統的周期解Finally we also discuss explicit exact solutions of kdv, coupled kdv and a compound kdv - burgers equations etc. wu algebraic elimenation method is most important basic tool during the course of solving proplem
我們還研究了kdv ,耦合kdv方程及一類組合kdv - burgers方程,一類非線性演化方程精確解,這些解包括奇性孤波解,周期解和有理函數解。Existence of periodic solutions with saddle point characteristics for some non - autonomous second order systems
某類非自治二階系統具鞍點特徵的周期解的存在性The optimal harvesting policies that maximized the sustainable yield for nonautonomous single - species harvesting models, which had a unique globally asymptotically stable periodic solution, were obtained by fan meng [ 15 ] and li hailong [ 16 ]
文獻[ 15 ] [ 16 ]討論了非自治單種群捕獲模型,在周期解存在唯一及全局漸近穩定前提下,為獲得最大可持續捕獲量,而得到最優捕獲策略In this thesis we study the existence of periodic solutions and the asymptotic behavior of general time - dependent solutions for periodic reaction - diffusion equations with nonlocal boundary value conditions, the existence of periodic solutions or periodic quasisolutions and the asymptotic behavior of general time - dependent solutions for periodic reaction - diffusion systems with nonlocal boundary value conditions. the whole thesis is made up of three chapters
本文研究時間變量是周期的反應擴散方程在非局部邊值條件下周期解的存在性及其一般時變解的漸近性態;研究時間變量是周期的反應擴散方程組在非局部邊值條件下周期解或周期擬解的存在性及其一般時變解的漸近性態We get the estimates of the upper bounds of hausdorff and fractal dimensions for the global attractors. in section 5. 3, the cauchy problem is studied, by using the weighted function space and the interpolating inequality, the existence of the global attractors for the damped generalized coupled nonlinear wave equations in an unbounded domain is proved. in section 5. 4, the time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary conditions is studied, the existence of time periodic soluation of this problem is proved by using the convergence of approximate time periodic solution sequences
第五章,考慮了一類廣義耦合的非線性波動方程組,在第二節中討論了周期初值問題,證明了整體光滑解的存在性和唯一性,得到了整體吸引子,給出了hausdorff維數和分形維數的上界估計;在第三節中討論了cauchy問題,利用加權函數和加權空間的插值不等式,證明了無界區域上整體吸引子的存在性;在第四節中證明了時間周期解的存在性。Carry on emulation to melp standard, realize that the compression of the pronunciation file is solved and pressed. first this thesis sample to wav file, carry on the speech to analyze and draws with the parameter to the speech data of every frame. these parameter include pitch, bpvc, jitter, lpc, etc. then, these parameters will be quantized by msvq technology
該系統首先對語音信號進行采樣;按幀對語音數據進行語音分析和參數提取,提取的參數包括基音周期( pitch ) 、多帶清濁音判別、非周期抖動標志、線性預測參數( lpc )等語音生成模型參數;接著對這些參數進行了量化,量化採用了多級矢量量化技術;最後在解碼端對各個量化參數進行解碼,利用這些參數結合語音合成模型重構語音。As the applications of mixed monotone operators theory, some classes of equations are considered. some initial value problems and boundary value problems for mixed monotone nonlinear impulsive integro - differential equations and nonlinear elliptic equations are discussed. some known results are generalized under weak conditions. and initial value problems and periodic boundary value problems for mixed monotone nonlinear impulsive evolution equations are discussed by mixed monotone operators theory with considering the main properties of operator semigroup. the sufficient and necessary conditions for existence and uniqueness of their solution and coupled solution are obtained
作為混合單調運算元理論的應用,本章討論了非線性混合單調脈沖積微分方程和混合單調非線性橢圓方程方面的一些問題,不同程度地削弱了原有的條件,推廣了已知的結果;還利用錐理論並結合運算元半群的性質及其主要特徵討論了非線性脈沖發展方程初值問題、周期邊值問題,給出了混合單調非線性脈沖發展方程的耦合周期解以及存在唯一解的充要條件。On the existence and uniqueness of almost periodic solutions for some nonlinear differential equations
一類非自治系統概周期解的存在唯一性Existence and uniqueness of almost periodic solution to a class of second order nonautonomous system
一類二階非自治系統概周期解的存在唯一性Periodic solution of a predator - prey nonautonomous system with type functional response and graze
類功能性反應的捕食與被捕食非自治系統的周期解Compared with the traditional curve - based method, this method can calculate the currents with high accuracy and little user effort. it can automatically calculate the periodic components of varying short circuit currents at anytime, and the aperiodic components of the symmetric short circuit currents
該計算機演算法大大減輕了傳統運算曲線演算法的工作量,且具有較高的準確度,能夠自動完成系統短路時任意時刻電流衰減周期分量的求解,及對稱短路時短路電流非周期分量的求解。The dynamics behaviors of the flexible jeffcott rotor system supported by unsteady short dynamic bearing are investigated. based on nonlinear unsteady - state dynamic n - oil film force model described by three functions the local stability of the periodic solutions with the controlling parameters, rotational speed ratio, imbalance amount, damping ratio and viscidity, are predicted by using the floquet multiplier. it is found that the period doubling bifurcation is caused by a certain imbalance amount and the hopf bifurcation is created by the lost stability of the oil - film
研究了非穩態動載短軸承支撐的jeffcott柔性轉子系統的動力特性,基於可用三個函數表示動態油膜的非穩態非線性油膜力模型,將轉速比、不平衡量、阻尼比、粘度作為控制參數,利用floquet乘子預測周期解的局部穩定性,發現倍周期分叉是由一定量的不平衡引起的,而hopf分叉是由油膜失穩造成的。The paper is concerned with periodic solutions to nonautonomous second order hamilton systems where, m : [ 0, t ] - s ( rn, rn ) is a continuous mapping in the space s ( rn, rn ) of symmetric real ( n x n ) - matrices, such that for some u > 0 and all ( t, z ) [ 0, t ] x rn, ( m ( t ) x, x ) > u | x | 2. a s ( rn, rn ), f : [ 0, t ] x rn r is continuous and f : [ 0, t ] xr r exists, is continuous and we study the existence of periodic solutions of the systems by using ekeland variational principle and the saddle points theorem. we suppose that the nonlinearity vf and potential f belongs to a class of unbounded functional. our work improves the existed results. we obtained the results of multiplicity of periodic solutions of the systems by using lusternik - schnirelman category theory and the generalized saddle points theorem, and the functional does not need the condition of constant definite. at last, we obtained the existence of infinity many distinct periodic solutions of the corresponding non - perturbation systems by using the symmetric mountain pass theorem
( ? , ? )為r ~ n中內積, | ? |為對應范數。 f [ 0 , t ] r ~ n r連續, ? f ( t , x )存在且連續, h l ~ 1 ( 0 , t ; r ~ n ) 。利用ekeland變分原理和鞍點定理討論了該系統周期解的存在性,把非線性項和位勢函數放寬到一類無界函數,推廣了這方面工作的一些已有結果;利用廣義鞍點定理和lusternik - schnirelman疇數理論得到了該系統的多重周期解,取掉了泛函的常定要求;最後利用對稱山路定理得到沒有擾動時系統的無窮多周期解。The steady solution of nonlinear ship motions in oblique seas can be gained by adopting the new technique presented in this thesis. this work promotes the application of theoretical prediction methods of nonlinear ship motions and wave loads
本文提出的新方法可以保證獲得斜浪中船舶非線性運動的穩定的周期解,從而進一步完善了斜浪中船舶非線性運動預報和波浪載荷計算的工程實用方法。In this dissertation, with the aid of many types of constructive transformations and symbolic computation, some topics in nonlinear waves and integrable system are studied, including exact solutions, painleve integrability, backlund transformation, darboux transformation, symmetry ( similarity reduction ), conditional symmetry, lax integrable hierarchy, liouville integrable n - hamilton structure, constraint flow, involutive system, lax representation, r - matrix, separation of variables and integrable couplings. chapter 2 and 3 are devoted to investigating exact solutions of nonlinear wave equations : firstly, the basic theories of c - d pair and c - d integrable system are presented
本文以構造性的變換及符號計算為工具,來研究非線性波和可積系統中的一些問題:精確解(如孤子解、周期解、有理解、 dromion解及compacton解等) 、 panileve可積性、 backlund變換、 darboux變換、對稱(相似約化) 、條件對稱、 lax可積族、 liouville可積的n - hamilton結構、約束流、對合系統、 lax表示、 r -矩陣、變量分離及可積的耦合系統Using this method not only the necessary condition of existence and the approximate analytic expressions of the periodic solutions for primary - harmonic, super - harmonic and sub - harmonic resonances can be obtained, but the criteria of stability for these solutions can also be gained
該方法給出了二階強非線性非自治系統主諧波共振和超諧波、次諧波共振周期解存在的必要條件,求得了這些周期解的近似解析表達式,並且得出了解的穩定性判據。分享友人