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971.
The mechanism of generation and annihilation of attractors during transition from a Hamiltonian system to a dissipative system is studied numerically using the dissipative standard map. The transient process related to the formation of attracting basins of periodic attractors is studied by discussing the evolution of the KAM tori of the standard map. The result shows that as damping increases, attractors are mainly generated from elliptic orbits of the Hamiltonian system and annihilated by colliding with unstable periodic orbits originating from the corresponding hyperbolic orbits of the Hamiltonian system. The transient process also exhibits the general feature of bifurcation. 相似文献
972.
Effects of interface kinetics and anisotropy on the stability of the growing crystal face and dissolution face during crystallization from solution under microgravity 下载免费PDF全文
The stability of the shapes of the growing crystal face and dissolution face in a two-dimensional mathematical model of crystal growth from solution under microgravity is studied. Effects of the interface kinetics and anisotropy of crystallization and dissolution on the stability are also studied. It is proved that the stable shapes of crystal growth face and dissolution face do exist, which are of suitably shaped curves with their upper parts inclined backward properly no matter whether the interface kinetics and the anisotropy are taken into account or not. The stable shapes of the growing crystal faces and dissolution faces are calculated for various cases. The interface kinetics will make the inclination degree of stable crystal growth face reduce and that of stable dissolution face reduce slightly. The anisotropy of crystallization and dissolution may make the inclination degree of stable-growing crystal face smaller or larger, and that of the stable dissolution face varies very slightly. 相似文献
973.
Non-Noether conserved quantity constructed by using form invariance for Birkhoffian system 总被引:6,自引:0,他引:6 下载免费PDF全文
Based on the invariance of Birkhoffian equations under the infinitesimal transformations of groups, the definition and the criterion of a form invariance for a Birkhoffian system are established. The condition under which the form invariance can lead to a non-Noether conserved quantity and the form of the conserved quantity are deduced by relyingon the total time derivative along the trajectory of the equations, and two corollaries in special cases are presented. An example is finally given to illustrate the application of the results. 相似文献
974.
Based on the total time
derivative along the trajectory of the system
the definition and the criterion for a unified symmetry of nonholonomic
mechanical system with variable mass are presented in this paper. A new
conserved quantity, as
well as the Noether conserved quantity and the Hojman conserved quantity,
deduced from the unified symmetry, are also obtained. An example is given to
illustrate the application of the results. 相似文献
975.
The design and artificial realization of a controller of pulse coupling feedback 总被引:1,自引:0,他引:1 下载免费PDF全文
In this paper a controller of pulse coupling feedback (PCF) is designed to control chaotic
systems. Control principles and the technique to select the feedback
coefficients are introduced. This controller is theoretically studied with a
three dimensional (3D) chaotic system. The artificial simulation results
show that the chaotic system can be stabilized to different periodic orbits
by using the PCF method, and the number of the periodic orbits are
2n× 3mp (n and m are integers). Therefore, this control method is
effective and practical. 相似文献
976.
977.
XU Xi-Xiang YANG Hong-Xiang LU Rong-Wu 《理论物理通讯》2008,50(12):1269-1275
A semi-direct sum of two Lie algebras of four-by-four matrices is presented, and a discrete four-by-four matrix spectral problem is introduced. A hierarchy of discrete integrable coupling systems is derived. The obtained integrable coupling systems are all written in their Hamiltonian forms by the discrete variational identity. Finally, we prove that the lattice equations in the obtained integrable coupling systems are all Liouville integrable discrete Hamiltonian systems. 相似文献
978.
The zero-asymptotic property of sliding variables in discrete systems is extended to a continuous one and applied to partial
differential equations which describe spatiotemporal chaos. A method of chaos synchronization and parameter identification
is proposed. The synchronization controllers and the parameter recognizers are designed. The uncertain Gray-Scott system is
taken as an example to verify the effectiveness of the method. Simulation results show that the identification variables in
the parameter recognizers may take the place of the unknown parameters in both target and response systems. Global synchronization
of the two spatiotemporal chaotic systems with uncertain parameters may be realized quickly after controllers are added.
Supported by the Natural Science Foundation of Liaoning Province, China (Grant No. 20052151) and the Innovative Team Program
of Liaoning Educational Committee 相似文献
979.
The bending problem of a magnetic film-nonmagnetic substrate cantilever system is studied by using the principle of energy
minimization. Emphasis is placed on the analysis of geometrical and physical parameter dependence of the neutral plane, internal
film stress and strain of the cantilever system, and then the influence of such a parameter on the bending characteristic
is presented. The results indicate, owing to the anisotropic expanding feature of the magnetostriction, that the neutral plane
is generally anisotropic, and moves downwards rapidly with the increasing thickness ratio. Meanwhile, the bounding rigidity
of substrate on the film will decrease with the increasing thickness ratio, and thus release the film stress, i.e., it decreases,
but the film strain increases. The effect of Poisson’s ratio of the materials on the film strain, the stress and the neutral
plane in the direction transverse to the magnetization is prominent. For the strain and the stress in the magnetization, however,
the role of Poisson’s ratio is inconspicuous. This property is due to the initiative elongating (or contracting) feature of
the magnetic film along its magnetization.
Supported by the National Natural Science Foundation of China (Grant No. 10762001), the Key Project of the Chinese Ministry
of Education (Grant No. 206024), and the Program for New Century Excellent Talents in University of China (Grant No. NCET-2005-0272) 相似文献
980.
193nm光刻曝光系统的现状及发展 总被引:1,自引:0,他引:1
投影曝光工艺是集成电路制造过程中的关键环节,曝光系统的工艺水平已成为衡量微电子制造技术的重要标志。重点介绍了目前193 nm光刻设备曝光系统的发展现状和趋势,以及为提高曝光质量所采用的相关分辨率增强技术;通过分析曝光系统的构成和其中的关键技术,探讨了国内研制相关曝光设备所面临的挑战。 相似文献