This paper studies a class of quartic system which is more general and realistic than the quartic accompanying system.x＇=-y＋ex＋lx^2＋mxy＋ny^2,y＇=x（1-Ay）（1＋Cy^2）,（＊）where C 〉 0. Sufficient conditions are ...This paper studies a class of quartic system which is more general and realistic than the quartic accompanying system.x＇=-y＋ex＋lx^2＋mxy＋ny^2,y＇=x（1-Ay）（1＋Cy^2）,（＊）where C 〉 0. Sufficient conditions are obtained for the uniqueness of limit cycle of system （＊） and some more in-depth conclusion such as Hopf bifurcation.展开更多
An algorithm for simultaneous computation of the adjoint G(s) and determinant d(s) of the matrix polynomial s2J-sA 1-A 2 is presented, where J is a singular matrix. Both G(s) and d(s) are expressed relative to a basis...An algorithm for simultaneous computation of the adjoint G(s) and determinant d(s) of the matrix polynomial s2J-sA 1-A 2 is presented, where J is a singular matrix. Both G(s) and d(s) are expressed relative to a basis of Laguerre orthogonal polynomials. This algorithm is a new extension of Leverrier-Fadeev algorithm..展开更多
A successive quadratic programming algorithm for solving SDP relaxation of Max- Bisection is provided and its convergence result is given. The step-size in the algorithm is obtained by solving n easy quadratic equatio...A successive quadratic programming algorithm for solving SDP relaxation of Max- Bisection is provided and its convergence result is given. The step-size in the algorithm is obtained by solving n easy quadratic equations without using the linear search technique. The numerical experiments show that this algorithm is rather faster than the interior-point method.展开更多
This paper derives a theorem of generalized singular value decomposition of quaternion matrices （QGSVD）,studies the solution of general quaternion matrix equation AXB -CYD= E,and obtains quaternionic Roth＇s theorem...This paper derives a theorem of generalized singular value decomposition of quaternion matrices （QGSVD）,studies the solution of general quaternion matrix equation AXB -CYD= E,and obtains quaternionic Roth＇s theorem. This paper also suggests sufficient and necessary conditions for the existence and uniqueness of solutions and explicit forms of the solutions of the equation.展开更多
Patterned porous silicon （PS） films were synthesised by using bydrogen ion implantation technique and typical electrochemical anodic etching method.The surface morphology and characteristics of the PS films were cha...Patterned porous silicon （PS） films were synthesised by using bydrogen ion implantation technique and typical electrochemical anodic etching method.The surface morphology and characteristics of the PS films were characterized by scanning electron microscopy （SEM）,X-ray diffraction（XRD）,and atomic force microscopy （AFM）.The efficient electron field emission with low turn-on field of about 3.5V/μm was obtained at current density of 0.1μA/cm^2.The electron field emission current density from the patterned PS films reached 1mA/cm^2 under and applied field of about 12.5V/μm.The experimental results show that the patterned PS films are of certain practical significance and are valuable for flat panel displays.展开更多
In this paper we establish some oscillation criteria for the second-order neutral dynamic delay equations on time scales. By using the generalized Riccati technique, new oscillation criteria are obtained.
基金Supported by the Natural Science Foundation of Fujian Province(Z0511052,2006J0209)the Foundation of Fujian Education Department(JA04158,JA04274)and the Foundation of Developing ScienceTechnology of Fuzhou University(2005-QX-20)
文摘This paper studies a class of quartic system which is more general and realistic than the quartic accompanying system.x＇=-y＋ex＋lx^2＋mxy＋ny^2,y＇=x（1-Ay）（1＋Cy^2）,（＊）where C 〉 0. Sufficient conditions are obtained for the uniqueness of limit cycle of system （＊） and some more in-depth conclusion such as Hopf bifurcation.
文摘An algorithm for simultaneous computation of the adjoint G(s) and determinant d(s) of the matrix polynomial s2J-sA 1-A 2 is presented, where J is a singular matrix. Both G(s) and d(s) are expressed relative to a basis of Laguerre orthogonal polynomials. This algorithm is a new extension of Leverrier-Fadeev algorithm..
文摘A successive quadratic programming algorithm for solving SDP relaxation of Max- Bisection is provided and its convergence result is given. The step-size in the algorithm is obtained by solving n easy quadratic equations without using the linear search technique. The numerical experiments show that this algorithm is rather faster than the interior-point method.
文摘This paper derives a theorem of generalized singular value decomposition of quaternion matrices （QGSVD）,studies the solution of general quaternion matrix equation AXB -CYD= E,and obtains quaternionic Roth＇s theorem. This paper also suggests sufficient and necessary conditions for the existence and uniqueness of solutions and explicit forms of the solutions of the equation.
基金National Natural Science Foundation of China (60476004) Foundation of Graduate Students of East ChinaNormal University(ECNU2005) Foundation of State Key Laboratory of Advanced Technology for MaterialsSynthesis and Processing( Wuhan University of Tech
文摘Patterned porous silicon （PS） films were synthesised by using bydrogen ion implantation technique and typical electrochemical anodic etching method.The surface morphology and characteristics of the PS films were characterized by scanning electron microscopy （SEM）,X-ray diffraction（XRD）,and atomic force microscopy （AFM）.The efficient electron field emission with low turn-on field of about 3.5V/μm was obtained at current density of 0.1μA/cm^2.The electron field emission current density from the patterned PS films reached 1mA/cm^2 under and applied field of about 12.5V/μm.The experimental results show that the patterned PS films are of certain practical significance and are valuable for flat panel displays.
基金This project was supported by the NSF of Educational Department of Guangdong Province, and the NNSF of China (No.10471155).
文摘In this paper we establish some oscillation criteria for the second-order neutral dynamic delay equations on time scales. By using the generalized Riccati technique, new oscillation criteria are obtained.
