Page 1 Next

Displaying 1 – 20 of 115

Showing per page

A mathematical model of suspension bridges

Gabriela Liţcanu (2004)

Applications of Mathematics

We prove the existence of weak T-periodic solutions for a nonlinear mathematical model associated with suspension bridges. Under further assumptions a regularity result is also given.

A note on generic chaos

Gongfu Liao (1994)

Annales Polonici Mathematici

We consider dynamical systems on a separable metric space containing at least two points. It is proved that weak topological mixing implies generic chaos, but the converse is false. As an application, some results of Piórek are simply reproved.

Analysis of a Population Model Structured by the Cells Molecular Content

M. Doumic (2010)

Mathematical Modelling of Natural Phenomena

We study the mathematical properties of a general model of cell division structured with several internal variables. We begin with a simpler and specific model with two variables, we solve the eigenvalue problem with strong or weak assumptions, and deduce from it the long-time convergence. The main difficulty comes from natural degeneracy of birth terms that we overcome with a regularization technique. We then extend the results to the case with several parameters and recall the link between this...

Application of a center manifold theory to a reaction-diffusion system of collective motion of camphor disks and boats

Shin-Ichiro Ei, Kota Ikeda, Masaharu Nagayama, Akiyasu Tomoeda (2014)

Mathematica Bohemica

Unidirectional motion along an annular water channel can be observed in an experiment even with only one camphor disk or boat. Moreover, the collective motion of camphor disks or boats in the water channel exhibits a homogeneous and an inhomogeneous state, depending on the number of disks or boats, which looks like a kind of bifurcation phenomena. In a theoretical research, the unidirectional motion is represented by a traveling wave solution in a model. Hence it suffices to investigate a linearized...

Chaos in D0 brane dynamics

I. Aref'eva, P. Medvedev, O. Rytchkov, I. Volovich (1998)

Banach Center Publications

We consider the classical and quantum dynamics of D0 branes within the Yang-Mills approximation. Using a simple ansatz we show that a classical trajectory exhibits a chaotic motion. Chaotic dynamics in N=2 supersymmetric Yang-Mills theory is also discussed.

Currently displaying 1 – 20 of 115

Page 1 Next