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| 1 | LIMIT CYCLE PROBLEM OF QUADRATIC SYSTEM OF TYPE ( Ⅲ )m=0, ( Ⅲ )显示文摘继续讨论在(Ⅰ) 并且(Ⅱ) ,并且为二次的系统(Ⅲ) 完成限制周期问题的学习在这篇论文的 _(m=0 ) 。因为有至多可以被 Hopf 分叉从批评的点 O 创造的一个限制周期,限制周期的数字取决于在 O 附近要形成的 separatrix 周期的不同状况。如果它是 1 + 上的 ahomoclinic 周期通过僵绳 S_1,削减 - y=0,有一样的稳定性,限制周期由 Hopf 分叉创造了,那么,限制的唯一在如此的情况中骑车能被证明。如果它是一个人诊所,骑车在 x = 上通过僵绳 N 0,它从 Hopf 分叉创造的限制周期有不同稳定性,那么,它将是二个限制周期的一个盒子。当 separatrix 周期是在无穷通过二僵绳的一个异种诊所周期时,为盒子,纸的讨论证明限制周期的数字将从一~二变化取决于系统的参数的不同价值。 | Ali. Elamin. M. Saeed Luo Dingjun | 2005 | Applied Mathematics(A Journal of Chinese Universities)2005，20，4： | 2 |
| 2 | ON STABILITY AND REGULARIZATION FOR BACKWARD HEAT EQUATION显示文摘Consider a backward heat equation in a bounded domain Ω R2 with the noisy data in theinitial time geometry. The aim is to find the temperature for 0 <ε< t < T. For this ill-posedproblem, the authors give a continuous dependence estimate of the solution. Moreover, theconvergence rate of the approximate solution is also given. | LIU JIJUN LUO DINGJUN | 2003 | Chinese Annals of Mathematics,Series B2003，24，1： | 2 |
| 3 | Qualitative study of a non-Liénard type cubic system 显示文摘 | Yuan Weili Luo Dingjun | 2002 | Journal of Nanjing University Math Biquarterly2002，19，1： | 1 |
| 4 | Qualitative study of a non-Liénard type cubic system 显示文摘 | Ali M Luo Dingjun | 2004 | Annales of Differential Equations2004，20，4： | 1 |
| 5 | Limit Cycle Bifurcation of Planar Vector Fields with Several Parameters and Applications显示文摘 | Luo Dingjun | 1985 | Ann of Diff Eqs1985，1，1： | 1 |
| 6 | Preparation of nano-PANI@MnO_2 by surface initiated polymerization method using as a nano-tubular electrode material:The amount effect of aniline on the microstructure and electrochemical performance显示文摘In this study,nano-polyanline and manganese oxide nanometer tubular composites(nano-PANI@MnO2)were prepared by a surface initiated polymerization method and used as electrochemical capacitor electrode materials; and the effect of aniline amount on the microstructure and electrochemical performance was investigated. The microstructures and surface morphologies of nano-PANI@MnO2 were characterized by X-ray diffraction,scanning electron microscopy and fourier transformation infrared spectroscope. The electrochemical performance of these composite materials was performed with cyclic voltammetry,charge–discharge test and electrochemical impedance spectroscopy,respectively. The results demonstrate that the feed ratio of aniline to MnO2 played a very important role in constructing the hierarchically nano-structure,which would,hence,determine the electrochemical performance of the materials. Using the templateassisted strategy and controlling the feed ratio of aniline to MnO2,the nanometer tubular structure of nanoPANI@MnO2 was obtained. A maximum specific capacitance of 386 F/g was achieved in aqueous 1 mol/L Na NO3 electrolyte with the potential range from 0 to 0.6 V(vs. SCE). | Fen Ran Yunlong Yang Lei Zhao Xiaoqin Niu Dingjun Zhang Lingbin Kong Yongchun Luo Long Kang | 2015 | Journal of Energy Chemistry2015，24，4： | 1 |
| 7 | POINCARE BIFURCATIONS IN POLYNOMIAL DIFFERENTIAL SYSTEMS显示文摘The Poincare bifurcations for polynomial differential systems are considered in this paper. Usually, the Pontryagin’s method of perturbed Hamiltonian systems are used to deal with such problem by studying the number and multiplicity of the zero points for certain Abelian integrals, and many results have been gived for concrete polynomial systems. But, the method is inapplicable to the case where the unperturbed system has complicated Hamiltonian function, or is integrable but non-Hamiltonian. We now start from a different angle to avoid the complicated calculations of the Abelian integrals and try to study the Poincare bifurcation from the Hopf bifurcations of all possible orders for the system, and give a complete result for the Poincare bifurcations of quadratic system in Bautin’s form. | LUO Dingjun(Department of Mathematics, Nanjing Normal University, Nanjing 210097, China) | 1999 | Systems Science and Mathematical Sciences1999，12，2： | 0 |
| 8 | Targeting the Rac1 pathway for improved prostate cancer therapy using polymeric nanoparticles to deliver of NSC23766显示文摘Prostate cancer(PCa)is the second most commonly diagnosed cancer in men.The Rac1-GTP inhibitor NSC23766 has been shown to suppress PCa growth.However,these therapies have low tumor-targeting efficacy in vivo.Therefore,it is essential to produce a drug delivery system that specifically targets the tumor site.Herein,novel l-phenylalanine-based poly(ester amide)(Phe-PEA)polymers were synthesized and loaded with NSC23766(NSC23766@8P6 NPs),which had a small particle size(162.3±6.7nm)and high NSC23766 loading(8.0%±1.1%)with a more rapid release of NSC23766 at pH 5.0.In vitro cellu-lar uptake and cytotoxicity assays demonstrated that NSC23766@8P6 NPs were rapidly taken up by PC3 cells and showed significant effects of PCa cell proliferation inhibition and G2/M phase arrest.Further-more,in vivo studies using PC3-bearing mice demonstrated that NSC23766@8P6 NPs delivered by in-travenous injection not only increased the drug concentration with prolonged retention(96h)at the tumor site,but also inhibited tumor growth and induced apoptosis.In conclusion,we have discovered that NSC23766@8P6 NPs can serve as a delivery system that targets the tumor site and is therefore a promising therapeutic approach for PCa treatment. | Zean Li Jun Huang Tao Du Yiming Lai Kaiwen Li Man-Li Luo Dingjun Zhu Jun Wu Hai Huang | 2022 | Chinese Chemical Letters2022，33，5： | 0 |
| 9 | THE PROBLEM OF LIMIT CYCLES FOR A LIENARD TYPE CUBIC SYSTEM显示文摘The purpose of this paper is to study a general Lienard type cubic system with one antisaddle and two saddles. We give some results of the existence and uniqueness of limit cycles as well as the evolution of limit cycles around the antisaddle for system (2) in the following when parameter a1 changes. | Ali. Elamin M. Saeed Luo Dingjun | 2006 | Annals of Differential Equations2006，22，2： | 0 |
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