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1.
B.I. Sturman A.S. Gorkunova K.H. Ringhofer 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2003,23(2):291-297
We investigate analytically and numerically the influence of the type of the photorefractive nonlinear response on the periodic
states (attractors) which occur during feedback controlled 2W-coupling and correspond to almost 100% diffraction efficiency
of the dynamic index grating. In addition to the case of the local response typical, for example, for LiNbO3 crystals we consider the cases of nonlocal (diffusive) response (BaTiO3, SBN) and resonant response (DC-biased BSO, BTO, and BGO crystals). It is shown that the conditions for the transition to
the periodic states and their apparent characteristics are strongly different for the two limiting cases above.
Received 16 July 2002 / Received in final form 29 October 2002 Published online 4 March 2003 相似文献
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针对振动陀螺仪单向时滞耦合系统,研究了角速度、耦合强度、耦合时滞与系统输出信号之间的关系,着重关注耦合时滞对待检测角速度测量结果的影响.本文采用摄动法对振动陀螺仪单向时滞耦合系统进行理论分析,得到了系统输出信号、系统振动边界和待检测角速度的近似表达式,并将数值和近似计算结果进行了对比.理论分析结果与数值结果比较吻合,验证了运用摄动法分析振动陀螺仪单向时滞耦合系统的有效性,也表明了在运用摄动法分析系统时具有局限性. 相似文献
4.
H. A. Batarfi S. S. Hassan R. Saunders R. K. Bullough 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2000,8(3):417-429
Linear stability analysis and (numerical) investigation of the periodic and chaotic self-pulsing behaviour are presented for
the Maxwell-Bloch equations of a bistable model in contact with a squeezed vacuum field. Effect of the squeeze phase parameter
on the period doubling bifurcation that preceeds chaos is examined for the adiabatic and non-adiabatic regimes. 相似文献
5.
L. Wu S. Zhu Y. Ni 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2007,41(2):349-354
Combination of two basic types of synchronization, anticipatory
synchronization and lagged synchronization, is investigated
numerically between two coupled semiconductor lasers. It is found
that lagged synchronization produced by a backward coupling with a
suitable delay can combine with the originally hidden anticipatory
synchronization and produce a type of synchronization overcoming the
original lagged synchronization produced by a forward coupling. We
study the combination synchronization phenomenon when the delay of
the backward coupling is different from that of the original
anticipatory synchronization. Our results suggest that the
synchronization combination phenomenon might allow an interpretation
of an experimental observation by Sivaprakasam et al. [Phys.
Rev. Lett. 87, 154101 (2001)] that the anticipating time is
irrespective of the external-cavity round trip time, which to date remains to be understood. 相似文献
6.
Summary A tool for analyzing spatio-temporal complex physical phenomena was recently proposed by the authors, Aubry et al. [5]. This
tool consists in decomposing a spatially and temporally evolving signal into orthogonal temporal modes (temporal “structures”)
and orthogonal spatial modes (spatial “structures”) which are coupled. This allows the introduction of a temporal configuration
space and a spatial one which are related to each other by an isomorphism. In this paper, we show how such a tool can be used
to analyze space-time bifurcations, that is, qualitative changes in both space and time as a parameter varies. The Hopf bifurcation
and various spatio-temporal symmetry related bifurcations, such as bifurcations to traveling waves, are studied in detail.
In particular, it is shown that symmetry-breaking bifurcations can be detected by analyzing the temporal and spatial eigenspaces
of the decomposition which then lose their degeneracy, namely their invariance under the symmetry. Furthermore, we show how
an extension of the theory to “quasi-symmetries” permits the treatment of nondegenerate signals and leads to an exponentially
decreasing law of the energy spectrum. Examples extracted from numerically obtained solutions of the Kuramoto-Sivashinsky
equation, a coupled map lattice, and fully developed turbulence are given to illustrate the theory. 相似文献
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On the basis of numerical computation, the conditions of the modes coupling are proposed, and the high-frequency modes are coupled, but the low frequency modes are uncoupled. It is proved that there exist an absorbing set and a global finite dimensional attractor which is compact and connected in the function space for the high-frequency modes coupled two Ginzburg-Landau equations(MGLE). The trajectory of driver equation may be spatio-temporal chaotic. One associates with MGLE, a truncated form of the equations. The prepared equations persist in long time dynamical behavior of MGLE. MGLE possess the squeezing properties under some conditions. It is proved that the complete spatio-temporal chaotic synchronization for MGLE can occur. Synchronization phenomenon of infinite dimensional dynamical system (IFDDS) is illustrated on the mathematical theory qualitatively. The method is different from Liapunov function methods and approximate linear methods. 相似文献
9.
由于子系统的时空耦合作用及参数的摄动性,实现参数摄动的耦合时空混沌的跟踪控制非常困难。然而模型未知的耦合时空混沌的每个子系统可由一系列模糊逻辑模型逼近,每个模糊逻辑模型代表子系统在特定运行点的局部线性化模型,同时考虑子系统状态的不可测性,采用模糊观测器来估计子系统的状态。基于模糊模型及状态观测器,计及混沌参数的摄动性,提出一种模糊跟踪控制方案,实现了参数摄动的耦合时空混沌的鲁棒跟踪控制,并将模糊跟踪控制表征为线性矩阵不等式问题,用线性矩阵不等式的凸优化方法求解控制器参数,确保系统的全局渐近稳定性。仿真验证了方案的有效性。 相似文献
10.
Michele Nguyen Almut E. D. Veraart 《Stochastics An International Journal of Probability and Stochastic Processes》2018,90(7):1023-1052
While short-range dependence is widely assumed in the literature for its simplicity, long-range dependence is a feature that has been observed in data from finance, hydrology, geophysics and economics. In this paper, we extend a Lévy-driven spatio-temporal Ornstein–Uhlenbeck process by randomly varying its rate parameter to model both short-range and long-range dependence. This particular set-up allows for non-separable spatio-temporal correlations which are desirable for real applications, as well as flexible spatial covariances which arise from the shapes of influence regions. Theoretical properties such as spatio-temporal stationarity and second-order moments are established. An isotropic g-class is also used to illustrate how the memory of the process is related to the probability distribution of the rate parameter. We develop a simulation algorithm for the compound Poisson case which can be used to approximate other Lévy bases. The generalized method of moments is used for inference and simulation experiments are conducted with a view towards asymptotic properties. 相似文献