This work studies through the Floquet theory the stability of breathers generated by the anti-continuous limit. We used the Peyrard-Bishop model for DNA and two kinds of nonlinear potential: the Morse potential and a potential with a hump. The comparison of their stability was done in function of the coupling parameter. We also investigate the dynamic behaviour of the system in stable and unsta...

In this paper, the properties of the defect mode in the photonic band gap ofone-dimensional ternary photonic crystals containing high temperature superconductorlayer (SPCs) have been theoretically investigated. We considered the quasi-periodiclayered structures by choosing two order of ternary Thue-Morse structures with mirrorsymmetry. We investigated the transmission spectra of these structure...

The aim of this research is to calculate the elastic constants and Bulk modulus of Cu-20 wt% Ni random Nanoalloy. The molecular dynamics simulation technique was used to calculate the mechanical properties in NPT ensemble. The interaction between atoms as well as cohesive energy in the Nanoalloy modeled systems was calculated by Morse et al. two body potential. Also the temperature of the syste...

Using the so(2, 1) Lie algebra and the Baker, Campbell and Hausdorff formulas, the Green’s function for the class of the confluent Natanzon potentials is constructed straightforwardly. The bound state energy spectrum is then determined. Eventually, the three-dimensional harmonic potential, the three-dimensional Coulomb potential and the Morse potential may all be considered as particular cases....

Given a Lagrangian submanifold in a symplectic manifold and a Morse function on the submanifold, we show that there is an isotopic Morse function and a symplectic Lefschetz pencil on the manifold extending the Morse function to the whole manifold. From this construction we define a sequence of symplectic invariants classifying the isotopy classes of Lagrangian spheres in a symplectic 4-manifold.

In this report, we discuss two papers that deal with computing Morse function on triangulated manifolds. Axen [1] gives an algorithm for computing Morse function on a triangulated manifold of arbitrary dimension but it not practical because of its space requirement. Hence, he describes an algorithm for computing critical points and their Morse indices for a 2-manifold. Edelsbrunner et al. [2] d...

We define and study Vassiliev invariants for (long) Morse knots. It is shown that there are Vassiliev invariants which can distinguish some topologically equivalent Morse knots. In particular, there is an invariant of order 3 for Morse knots with one maximum that distinguishes two different representations of the figure eight knot. We also present the results of computer calculations for some i...

2014 Within the two-potential formalism a general set of t matrix integral equations is obtained which describes the scattering of a neutral particle by a periodic potential. Furthermore a projection method is developed which allows us in the case of resonance, to get a new set of equations in which the resonance singularities do not appear. This formalism is applied to the Morse corrugated pot...

We consider the problem of prescribing conformally scalar curvature on compact manifolds positive Yamabe class in dimension . prove new existence results using Morse theory and some analysis blowing-up solutions under suitable pinching conditions function. also provide nonexistence showing sharpness our assumptions, both terms structure prescribed © 2021 Wiley Periodicals LLC.

The essential structural information of discrete Morse functions is captured by so-called Morse matchings. We show that computing optimal Morse matchings is NP-hard and give an integer programming formulation for the problem. Then we present first polyhedral results for the corresponding polytope and report on some preliminary computational results.