The correlation between stochastic resonance and theaverage phase-synchronization time of a bistable system driven bycolour-correlated noises

This paper investigates the correlation between stochastic resonance (SR) and the average phase-synchronization time which is between the input signal and the output signal in a bistable system driven by colour-correlated noises. The results show that the output signal-to-noise ratio can reach a maximum with the increase of the average phase-synchronization time, which may be helpful for understanding the principle of SR from the point of synchronization; however, SR and the maximum of the average phase-synchronization time appear at different optimal noise level, moreover, the effects on them of additive and multiplicative noise are different.     

Frequency dependence of phase-synchronization time in nonlinear dynamical systems

It has been found recently that the averaged phase-synchronization time between the input and the output signals of a nonlinear dynamical system can exhibit an extremely high sensitivity to variations in the noise level. In real-world signal-processing applications, sensitivity to frequency variations may be of considerable interest. Here we investigate the dependence of the averaged phase-synchronization time on frequency of the input signal. Our finding is that, for typical nonlinear oscillator systems, there can be a frequency regime where the time exhibits significant sensitivity to frequency variations. We obtain an analytic formula to quantify the frequency dependence, provide numerical support, and present experimental evidence from a simple nonlinear circuit system.     

Dynamic spin reorientation in orthoferrites irradiated by a laser pulse

A theory of dynamic spin reorientation in an antiferromagnet irradiated by a femtosecond laser pulse has been developed taking into account both the nonthermal effect of the pulse due to the inverse Faraday effect and the thermal effect of the pulse. It has been shown that even a weak heating of the spin subsystem by the pulse can significantly enhance the reorientation effect. The possibility of applying this effect to increase the efficiency of the excitation of the spin oscillations has been considered.     

Probe measurements in an rf plasma reactor with planar electrodes

The influence of the rf-plasma potential oscillations in the planar system with a small ratio of the area of the powered electrode to the area of the grounded surfaces has been investigated. Although no effect of the blocking rf filters in the probe circuit on the probe measurements has been found, the ac connection of an auxiliary electrode having a large surface to the measuring probe have caused a considerable shift of the probe characteristic. The rf-plasma potential oscillations can, therefore, distort the probe measurements and their influence must be taken into account. A new method is proposed that allows to estimate the error caused by these oscillations.     

Giant thermodynamical optical effect near ferroelastic phase transition point in Cs3Bi2I9 layered crystal

For the first time we have found a new giant thermodynamical optical effect near the ferroelastic phase transition point in Cs₃Bi₂I₉ layered crystal. The effect is appeared as periodical oscillations in time of the reflection coefficient. This phenomenon is caused by the small temperature deviations in thermodynamical system the appearance of which in the reflection spectra is strongly amplified in the ferroelastic phase transition point. The optical oscillations are explained on the base of a model that takes into account the temperature dependence of the refractive index through the order parameter (spontaneous strain) of the crystal.     

Light transport model in a n-layered mismatched tissue

The steady-state and time-domain analytical solutions of the diffusion equation for photon migration through a highly scattering n-layered mismatched medium have been obtained. The effect of the refractive-index mismatch is taken into account, and the extrapolated boundary condition has been considered. A Monte Carlo code for photon migration through an n-layered mismatched medium has also been developed. Comparisons with the results of Monte Carlo simulations showed that the analytical solutions correctly describe the photon migration, while reflectance is observed.     

Interaction of self-excited and stimulated oscillations in the synchronization of Thomson systems

In an analysis of the interaction of self-excited and stimulated oscillations in the transient and steady-state regimes during the synchronization of Thomson systems, it is shown that, depending on the amplitude and detuning of the driving emf, the synchronous regime can be reached by a locking of the self-oscillation frequency as a result of the self-parametric effect and damping of the self-excited oscillations.     

Electromechanical models of nanoresonators

The goal of this study is to construct simple electromechanical models of nanoresonators as mass detectors. A major obstacle in the achievement of sufficient measurement accuracy for the resonant frequency associated with the adsorption of additional mass onto the graphene layer is a low quality factor of the oscillatory system containing the graphene layer. A graphene resonator can be considered as an elastic system with distributed parameters. The application of the Galerkin method to study nearly resonant vibrational modes reduces the problem to considering an oscillatory system with a few degrees of freedom with pronounced nonlinear properties. These properties are, first of all, due to the nonlinear dependence of the forces produced by the electric field on the graphene deflection and, second, due to the nonlinear dependence of the graphene layer tension on its deflection. Taking into account the nonlinear properties leads to the appearance of characteristic drops in the resonance curve which allow for a more accurate resonant frequency measurement. Resonance curves with such characteristic drops can be obtained using a demonstration experimental macromodel of the resonator. Two absolutely new layouts are proposed, such as a differential resonator and resonator with parametric excitation. The oscillations excited in the differential resonator that contains two graphene layers resemble beats. In this case, small changes in the mass of the main layer correspond to significant changes in the frequency of the envelope. This effect is illustrated by oscillograms obtained for an experimental macromodel of the differential resonator. The parametric resonator has one graphene layer between two conducting surfaces. Parametric excitation of steady-state high amplitude oscillations is possible in this resonator only in a narrow frequency band close to the eigenfrequency. The band width reduces with a decrease in the quality factor of the oscillatory system. The latter fact can be useful for the improvement of eigenfrequency measurement accuracy at a low quality factor of the oscillatory system.     

Soliton-like propagation of broadband terahertz pulses in a system of tunnel junctions

Soliton-like regimes of propagation of broadband terahertz pulses in a system of tunnel junctions have been theoretically studied taking into account the effect of quantum states higher in energy. This study has been performed beyond the approximation of slowly varying amplitudes standard for quasimonochromatic signals. It has been shown that the role of higher lying states is fundamentally important and is not reduced only to correction effects. Previously unknown soliton-like regimes of propagation, as well as the corresponding dynamics of a medium, have been analyzed. Nonlinear refraction processes have been taken into account. Conditions for self-focusing and defocusing of pulses have been revealed. A new type of localized terahertz “bullets” with sharp boundaries at a nonequilibrium initial population of tunneling states has been predicted. The main difference of these bullets from those previously considered in an optical range is that diffraction does not affect the formation of the former. In this case, the focusing effect caused by a tunneling transition is compensated by the defocusing effect of transitions to higher lying states under the conditions of applicability of the geometrical optics approximation.     

Potential energy surface of the Rydberg states of the NO molecule in an intense IR radiation field

A method taking into account valence (non-Rydberg) and dissociative configurations has been developed for calculation of potential energy surfaces of the NO molecule in an intense IR radiation field. The resonance rovibronic structure of the Rydberg molecule–laser field quantum system has been analyzed within the steady-state formalism of the radiation collision matrix using multi-channel quantum defect theory. Special conditions for field control of predissociation involving intermediate Rydberg and valence states have been formulated.     

Non-linear response of a gyrostabilized platform to transient input

In this paper the response of a gyrostabilized platform subjected to a transient torque has been analyzed by deliberately introducing non-linearity into the command of the servomotor. The resulting third-order non-linear differential equation has been solved by using a transformation technique involving the displacement variable. The condition under which platform oscillations may grow with time or die with time are important from the point of view of platform stabilization. The effect of deliberate addition of non-linearity with a view to achieving the ideal response—that is, to bring the platform back to its equilibrium position with as few oscillations as possible—has been investigated. The conditions under which instability may set in on account of the small transient input and small non-linearity has also been discussed. The analysis is illustrated by means of a numerical example. The results of analysis are compared with numerical solutions obtained on a digital computer.     

Giant oscillations of electron temperature during steady-state operation on Tore Supra

During fully noninductively driven discharges in the Tore Supra tokamak, large spontaneous oscillations of the core electron temperature (DeltaTe/Te>50%) have been observed for the first time. They occurred during the standard O regime, which is itself characterized by periodic oscillations of much smaller amplitude. The "giant" oscillations appear to involve distinct mechanisms with respect to the O regime and provide a spectacular example of the complex nonlinear interactions between energy confinement, noninductive current sources, and MHD that may occur in a tokamak plasma during steady-state operation.     

Formation of turbulent electron beams for generating broadband chaotic oscillations

Oscillators of broadband chaotic oscillations, based on the use of intense turbulent electron beams, have been investigated. Different concepts of forming such beams are considered, and their structure is experimentally studied. The results of the experimental study of the oscillations generated by the broadband microwave sources developed are reported.     

Improving Performances and Reducing Cost for Power Amplifiers in Millimeter Wave

The high power broadband amplifiers are key devices for millimeter wave system and equipment. The significant progresses for broadband amplifier–high power TWT in MMWs are described. Advanced techniques such as enhancing operating bandwidth, reducing cost, increasing efficiency, improving heat transfer capability, suppressing spurious oscillations and raising beam transmission have been developed. These approaches possess important consult value to designer for MMW power amplifiers.     

Bifurcation, amplitude death and oscillation patterns in a system of three coupled van der Pol oscillators with diffusively delayed velocity coupling

In this paper, we study a system of three coupled van der Pol oscillators that are coupled through the damping terms. Hopf bifurcations and amplitude death induced by the coupling time delay are first investigated by analyzing the related characteristic equation. Then the oscillation patterns of these bifurcating periodic oscillations are determined and we find that there are two kinds of critical values of the coupling time delay: one is related to the synchronous periodic oscillations, the other is related to eight branches of asynchronous periodic solutions bifurcating simultaneously from the zero solution. The stability of these bifurcating periodic solutions are also explicitly determined by calculating the normal forms on center manifolds, and the stable synchronous and stable phase-locked periodic solutions are found. Finally, some numerical simulations are employed to illustrate and extend our obtained theoretical results and numerical studies also describe the switches of stable synchronous and phase-locked periodic oscillations.     

深空核爆电磁脉冲壳模型下的电子运动规律

 采用壳模型分析了深空核爆的电子运动规律,对深空核爆电磁脉冲的形成机理进行了初步研究。考虑MeV量级出射电子的相对论效应,在相对论框架下进行了电子运动过程的推导。计算了空间电荷层限制的形成时间,并提出一旦形成空间电荷限制,后续状态满足准静态近似条件。在此基础上,推导了空间电荷振荡的频率,并与半数值计算的结果进行比对,二者符合得较好。计算表明,远场达到峰值的时间与爆炸当量、电子初始动能和弹体半径等参数密切相关,电场峰值总是出现在核反应极大值之前,并且在空间电荷层限制的形成时间附近。     

Plasmon mechanism of resistance magnetooscillations in a two-dimensional electron system in strong electric fields

A multielectron approach is developed to explain the resistance magnetooscillations in two-dimensional electron systems that have recently been detected under the action of microwave pumping [1] or a strong dc electric field [23]. A qualitative change in the screened impurity potential in a strong electric field is taken into account for the first time. When considered in the rest frame of the center of the cyclotron orbit, the impurity potential becomes nonstationary and, thus, should be screened dynamically. This fact substantially changes the picture of impurity scattering in a “pure” two-dimensional system: a dissipative current is induced by the excitation of two-dimensional plasmons rather than by one-electron transitions between the Landau levels. In the case of microwave pumping, every period of resistance oscillation in a reciprocal magnetic field is formed by the excitation of the corresponding magnetoplasmon branch, and the fine structure of oscillations is formed by the singularities of the magnetoplasmon density of states. In a “dirty” two-dimensional system, the role of electron-electron interaction weakens, collective excitations cease to exist, and the results transform into the well-known results obtained in terms of a one-electron approach.     

Dynamic analysis of a rectangular plate subjected to multiple forces moving along a circular path

A multi-degree-of-freedom (m.d.o.f.) system excited by a rough moving surface has been developed to study friction-induced oscillations. The normal degrees of freedom allow for oscillatory normal forces, while the normal-tangential coupling of friction produces parametric excitation in the slipping equations of motion. After a modal change of variables, first order averaging has been used to produce a set of autonomous equations of motion. Eigenvalue analysis of the averaged equations has produced stability predictions for the steady sliding position. Numerical integration of the original system of equations has verified the existence of locally unstable oscillations for a system excited by a rough surface input. The combination of velocity-dependent friction and a harmonically varying normal force have been shown to produce large-amplitude oscillations, in some cases leading to stick-slip responses.     

NMR transmit-receive system with short recovery time and effective isolation

A transmit-receive system with a short recovery time and excellent isolation has been developed. The system operates in conjunction with an ENI Model 3200L broadband amplifier and a spin-lock NMR pulse spectrometer. The system has been tested in the frequency range 5.5 to 52 MHz and seems not to generate any background noise.