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Yulin, China

Yulin Normal University is a four-year undergraduate and multidisciplinary University located in Yulin, Guangxi, China. Wikipedia.


Liu Y.,Yulin Normal University
International Journal of Bifurcation and Chaos | Year: 2011

This paper proves that all the closed orbits (including limit cycles) of the general Lorenz family must be planar, but only to be curves in space based on the technique of classification and identification for the quadratic surface in three-dimensional space. This result indicates that the qualitative property of the closed orbit for the systems is very complicated. We hope that this study would be beneficial for further studies of the dynamically rich chaotic system. © 2011 World Scientific Publishing Company. Source


Zhai W.,Yulin Normal University
Physica B: Condensed Matter | Year: 2014

Electric-field-induced second-harmonic generation in asymmetrical Gaussian potential quantum wells is investigated using the effective mass approximation employing the compact density matrix method and the iterative approach. Our results show that the absolute value, the real part and the imaginary part of second-harmonic generation are greatly affected by the height of the Gaussian potential quantum wells, the range of the Gaussian confinement potential and the applied electric field. The relationship between the absolute value and the imaginary part of second-harmonic generation together with the relationship between the absolute value and the real part of second-harmonic generation is studied. It is found that no matter how the height of the Gaussian potential quantum wells, the range of the Gaussian confinement potential and the applied electric field vary, the resonant peaks of the absolute value of second-harmonic generation do not originate from the imaginary part but from the real part. © 2014 Elsevier B.V. Source


Liu Y.,Yulin Normal University
Nonlinear Dynamics | Year: 2012

This paper studies the problem of the circuit implementation and the finite-time synchronization for the 4D (four-dimensional) Rabinovich hyperchaotic system. The electronic circuit of 4D hyperchaotic system is designed. It is rigorously proven that global finite-time synchronization can be achieved for hyperchaotic systems which have uncertain parameters. © 2011 Springer Science+Business Media B.V. Source


Liu Y.,Yulin Normal University
Nonlinear Dynamics | Year: 2012

In order to further understand a complex three-dimensional (3D) dynamical system showing strange chaotic attractors with two stable node-foci as its only equilibria, we analyze dynamics at infinity of the system. First, we give the complete description of the phase portrait of the system at infinity, and perform a numerical study on how the solutions reach the infinity, depending on the parameter values. Then, combining analytical and numerical techniques, we find that for the parameter value b = 0, the system presents an infinite set of singularly degenerate heteroclinic cycles. It is hoped that these global study can give a contribution in understanding of this unusual chaotic system, and will shed some light leading to final revealing the true geometrical structure and the essence of chaos for the chaotic attractor. © Springer Science+Business Media B.V. 2012. Source


Liu Y.,Yulin Normal University
Nonlinear Analysis: Real World Applications | Year: 2012

In this paper, by using the Poincaré compactification in R3, a global analysis of the conjugate Lorenz-type system is presented, including the complete description of its dynamic behavior on the sphere at infinity. Combining analytical and numerical techniques, it is shown that for the parameter value b=0 the system presents an infinite set of singularly degenerate heteroclinic cycles. The chaotic attractors for the system in the case of small b>0 are found numerically, and thus the nearby singularly degenerate heteroclinic cycles. It is hoped that this global study can give a contribution in understanding of the conjugate Lorenz-type system, and will shed some light leading to final revelation of the true geometrical structure and the essence of chaos for the amazing original Lorenz attractor. © 2012 Elsevier Ltd. All rights reserved. Source

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