In this paper,the author analysed Holmes' Duffing Equationd2x/dt2+δ(x2 + ax + c)dx/dt- ax +βx3 = 0and Its general form d2x/dt2+δf(x) dx/dt- ax +βx3 = 0 with Melikov Function method ,giving the conditims which stable on unstable limited circles are bifurcated from the homoclinic Oribits
With the theory of IBA2, the best Hamiltonian parameters of nuclcj 154Sm, 156Gd, 158Gd and 158Dy has been found from SU(3) limited ones, through comparing the theoretical and experimental value of excited energies and B(E2);
Thus,the Limited permissible concentration of these salts have been determined and the results showed that the limited. permissible concentra- tions of NaCl,Na_2SO_4 and CaCl_2 were 2.5×10~4 mg/l,6×10~4 mg/l and 4.5×10~4 mg/l respectively,whi- ch depend on several environmental factors.
In some of the examples the limit sets are wildly knotted 2-spheres.
Taking a specific determination of its argument and studying its limit when approaching the Shilov boundary, we are able to define a ?-valued,G-invariant kernel for triples of mutually transversal points inS.
Let Δ denote the symmetric Laplacian on the Sierpinski gasket SG defined by Kigami  as a renormalized limit of graph Laplacians on the sequence of pregaskets Gm whose limit is SG.
We prove Szeg?'s strong limit theorem for Toeplitz determinants with a symbol
A new C*-algebra of strong limit power functions is proposed.
An important example is the Moser-Trudinger inequality where limiting Sobolev behavior for critical exponents provides significant understanding of geometric analysis for conformal deformation on a Riemannian manifold [5, 6].
We use interpolation methods to prove a new version of the limiting case of the Sobolev embedding theorem, which includes the result of Hansson and Brezis-Wainger for Wnk/k as a special case.
Aldose reductase (AR), the rate-limiting enzyme of the polyol pathway, catalyzes the reduction of glucose to sorbitol via NADPH.
Some results on the limiting distributions of the statistics are obtained.
The limiting distributions of the test statistics are derived under the null hypothesis.
Frequency-Domain Bounds for Nonnegative, Unsharply Band-Limited Functions
In this paper we give a further investigation of the method introduced by the author in [1, Frequency-domain bounds for nonnegative unsharply band-limited functions] for proving bounds for functions with nonnegative Fourier transforms.
Finite energy band-limited functions are reconstructed iteratively
Unique reconstruction of band-limited signals by a Mallat-Zhong wavelet transform algorithm
Sampling and interpolating sequences for multiband-limited functions and exponential bases on disconnected sets