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| 1 | Cyclicity of elementary polycycles and ensembles with codimension 3 degeneration显示文摘The conjecture E(k)≤k is proved to be true if and only if k=1, 2, 3, where E(k) is the cyclicity of condimension k generic elementary polycycles. It is also proved that the cyclicity of any codimension 3 ensembles except ensembles with 'lips' is ≤6. By the way, the methods usually used in the study of cyclicity of polycycles such as derivation division algorithm, Khovanskii procedure and the method of critical point analysis are introduced. | Liqin Zhao Weigu Li Zhifen Zhang | 1998 | Chinese Science Bulletin1998，43，22： | 6 |
| 2 | Nonlinear Oscillations of Semigeostrophic Eady Waves in the Presence of Diffusivity显示文摘Analyses are performed to examine the physical processes involved in nonlinear oscillations of Eady baroclinic waves obtained from viscous semigeostrophic models with two types of boundary conditions (freeslip and non-slip). By comparing with previous studies for the case of the free-slip boundary condition, it is shown that the nonlinear oscillations are produced mainly by the interaction between the baroclinic wave and zonal-mean state (total zonal-mean flow velocity and buoyancy stratification) but the timescale of the nonlinear oscillations is largely controlled by the diffusivity. When the boundary condition is non-slip, the nonlinear oscillations are further damped and slowed by the diffusive process. Since the free-slip (non-slip)boundary condition is the zero drag (infinite drag) limit of the more realistic drag boundary condition,the nonlinear oscillations obtained with the two types of boundary conditions are two extremes for more realistic nonlinear oscillations. | QinXU WeiGU 高守亭 | 2005 | Advances in Atmospheric Sciences2005，22，1： | 1 |
| 3 | Local first inte- grals of differential systems and diffeomorphisms 显示文摘 | LI Weigu LLIBRE J ZHANG Xiang | 2003 | Z Angew Math Phys2003，54，： | 1 |
| 4 | SIRT1 transgenic mice show phenotypes resembling calorie restriction显示文摘 | LauraBordone DenaCohen AshleyRobinson Maria CarlaMotta EdVan Veen AgnieszkaCzopik Andrew D.Steele HayleyCrowe StephenMarmor JianyuanLuo WeiGu LeonardGuarente | 2007 | Aging Cell2007，，6： | 1 |
| 5 | Polynomial systems: A lower bound for the weakened 16th Hilbert problem显示文摘 | Li Chengzhi Li Weigu Llibre Jaume | 2001 | Extracta Math2001，16，3： | 1 |
| 6 | Study on preparation and fire - retardant mechanism analysis of intumescent flame - retardant coatings显示文摘 | WEIGU JUN CHENGZHANG GUANG LAIDONG SHAN | 2007 | Surface & Coatings Technology2007，21，： | 1 |
| 7 | Focus-center problem of planar degenerate system 显示文摘 | Tang Yilei Li Weigu Zhang Zhifen | 2008 | J Math Anal Appl2008，，345： | 1 |
| 8 | Polynomial systems:A lower bound for the weakened 16th Hilbert problem显示文摘 | Li Chengzhi Li Weigu Llibre Jaume | 2001 | Extracta Math2001，16，3： | 1 |
| 9 | A REMARK ON THE HAUSDORFF DIMENSION OF CERTAIN NON-SELF-SIMILAR ATTRACTORS显示文摘AREMARKONTHEHAUSDORFFDIMENSIONOFCERTAINNONSELFSIMILARATTRACTORSLIUHONGGENManuscriptreceivedJune4,1994.RevisedAugust8,1996.... | ZHANG MEIRONG * LI WEIGU ** | 1997 | Chinese Annals of Mathematics,Series B1997，18，1： | 0 |
| 10 | Some New Methods to Fractal Image Compresion显示文摘SomeNewMethodstoFractalImageCompresion1YipengSHI,WeiGU+,LimingZHANG+&ShoujieCHEN(Dept.ofMechanics,FudanUniv.,Shanghai200433)+... | YipengSHI WeiGU | 1997 | Communications in Nonlinear Science and Numerical Simulation1997，2，2： | 0 |
| 11 | Extension of Floquet's theory to nonlinear quasiperiodic differential equations显示文摘In this paper, we consider the following autonomous system of differential equations:(x) = Ax + f(x, θ), (θ) = ω,where θ∈ Rm, ω = (ω1,...,ωm) ∈ Rm, x ∈ Rn, A ∈ Rn×n is a constant matrix and is hyperbolic, f is a C∞ function in both variables and 2π-periodic in each component of the vector θ which satisfies f = O(‖x‖2) as x → 0. We study the normal form of this system and prove that under some proper conditions this system can be transformed to an autonomous system:(x) = Ax + g(x), (θ) = ω.Additionally, the proof of this paper naturally implies the extension of Chen's theory in the quasi-periodic case. | WU Hao LI Weigu | 2005 | Science China Mathematics2005，48，12： | 0 |
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