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101.
《Physics letters. A》2020,384(27):126718
A quantized optical cavity mode controlled by dissipation, two-photon source and feedback loop is studied. The feedback is activated by detections of photons leaving the cavity and consists of rapid phase shifts of the cavity field by π. The steady-state of the mode and first-order field correlation functions let analytical exploration. The feedback radically modifies the shape of the mode's spectrum - it gets asymmetry and its double-peaked structure manifests itself much more discernibly than in no-feedback case. Up to our knowledge, the present quantum feedback model is the first one which permits exact solution. 相似文献
102.
Combining the dual least action principle with Mountain-pass lemma,we obtain the existence of brake orbits for first-order convex Hamiltonian systems with particular anisotropic growth. 相似文献
103.
Bruce A. Barnes 《Proceedings of the American Mathematical Society》2007,135(6):1735-1740
Let be a bounded linear operator on a Banach space and let be a subspace of which is a Banach space and invariant. Denote by the restriction of to This paper explores the questions:
If the range of is closed, under what conditions is the range of closed?
If the range of is closed, under what conditions is the range of closed?
104.
DENG Guifeng ZHU Deming 《数学年刊A辑(中文版)》2007,(5)
对余维3系统X_μ(x)具有包含一个双曲鞍-焦点O_1和一个非双曲鞍-焦点O_2的异宿环f进行了研究.证明了在f的邻域内有可数无穷条周期轨线和异宿轨线,当非粗糙异宿轨线Γ~0破裂时X_μ(x)会产生同宿轨分支,并给出了相应的分支曲线和两种同宿环共存的参数值.在3参数扰动下Γ~0破裂和O_2点产生Hopf分支的情况下,在f的邻域内有一条含O_1点同宿环,可数无效多条的轨线同宿于O_2点分支出的闭轨H_0,一条或无穷多条(可数或连续统的)异宿轨线等. 相似文献
105.
This paper considers a feedback control systems of differential equations with delays. By applying the differential inequality theorem, sufficient conditions for the permanence of the system are obtained. Also, by constructing a suitable Lyapunov functional, a criterion for the global stability of the model is obtained. 相似文献
106.
Wei Guoqiang 《Annals of Differential Equations》2006,22(4):573-581
In this paper, we consider the bifurcation for a class of cubic integrable system under cubic perturbation. Using bifurcation theory and qualitative analysis, we obtain a complete bifurcation diagram of the system in a neighbourhood of the origin for parameter plane. 相似文献
107.
External-cavity birefringence feedback effects of microchip Nd:YAG laser and its application in angle measurement 下载免费PDF全文
External-cavity birefringence feedback effects of the microchip Nd:YAG
laser are presented. When a birefringence element is placed in the
external feedback cavity of the laser, two orthogonally polarized
laser beams with a phase difference are output. The phase difference
is twice as large as the phase retardation in the external cavity
along the two orthogonal directions. The variable extra-cavity
birefringence, caused by rotation of the external-cavity
birefringence element, results in tunable phase difference between
the two orthogonally polarized beams. This means that the roll angle
information has been translated to phase difference of two output
laser beams. A theoretical analysis based on the Fabry--Perot cavity
equivalent model and refractive index ellipsoid is presented, which
is in good agreement with the experimental results. This phenomenon
has potential applications for roll angle measurement. 相似文献
108.
Ji Zhijian; Wang Long; Xie Guangming 《IMA Journal of Mathematical Control and Information》2005,22(4):441-452
** Corresponding author. Email: longwang{at}pku.edu.cn*** Email: jizj{at}mech.pku.edu.cn In this paper, the quadratic stabilization of switched linearsystems with polytopic uncertainties is considered. Comparedwith the existing result, a more general switching control methodis proposed to guarantee the quadratic stabilization. This switchingcontrol method is based on the partition of the vertex matrixset of each subsystem. By this method, the matrix inequalitiesneeded to be solved are always less than those needed to besolved before except one extreme case; for this case, it isequal. The switched control synthesis problem is also studiedfor both switched state feedback and output feedback. Severalbilinear matrix inequality based conditions are derived forboth cases. 相似文献
109.
Fule Li Kaimei Huang 《高等学校计算数学学报(英文版)》2007,16(3):233-252
In this paper,the numerical approximation of a Timoshenko beam with bound- ary feedback is considered.We derived a linearized three-level difference scheme on uniform meshes by the method of reduction of order for a Timoshenko beam with boundary feedback.It is proved that the scheme is uniquely solvable,unconditionally stable and second order convergent in L_∞norm by using the discrete energy method. A numerical example is presented to verify the theoretical results. 相似文献
110.
Zhen Ye Chong Lin Andrey E. Barabanov 《Journal of Mathematical Analysis and Applications》2007,334(1):28-42
In this paper, a class of second-order servo plants under relay feedback is studied. Complete results on the uniqueness of solutions, existence and stability of the limit cycles are established using the point transformation method. And a numerical method is developed for determining the amplitude and period of a stable limit cycle from the plant parameters. 相似文献