Displaying similar documents to “A singular perturbation method for saddle connections and subharmonics of certain nonlinear differential equations with fixed saddle points.”

Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system.

Li Jibin, Liu Zhenrong (1991)

Publicacions Matemàtiques

Similarity:

In this paper we consider a class of perturbation of a Hamiltonian cubic system with 9 finite critical points. Using detection functions, we present explicit formulas for the global and local bifurcations of the flow. We exhibit various patterns of compound eyes of limit cycles. These results are concerned with the posed by V. I. Arnold in 1977.

On a Hypersingular Equation of a Problem, for a Crack in Elastic Media

Gil, Alexey, Samko, Stefan (2010)

Fractional Calculus and Applied Analysis

Similarity:

Mathematics Subject Classification 2010: 45DB05, 45E05, 78A45. We give a procedure to reduce a hypersingular integral equation, arising in 2d diffraction problems on cracks in elastic media, to a Fredholm integral equation of the second kind, to which it is easier and more effectively to apply numerical methods than to the initial hypersingular equation.