Bifurcations of periodics from homoclinics in singular ODE: Applications to discretizations of travelling waves of PDE

Feckan, Michael; Rothos, Vassilios M.

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Bifurcations of periodics from homoclinics in singular ODE: Applications to discretizations of travelling waves of PDE

preprint

posted on 2006-01-25, 18:12 authored by Michael Feckan, Vassilios M. Rothos

Bifurcations of periodic solutions from homoclinic ones are investigated for certain singularly perturbed systems of autonomous ordinary differential equations in R-4. Results are applied to discretization of travelling waves of certain p.d.e.

History

School

Science

Department

Mathematical Sciences

Pages

198948 bytes

Publication date

2001

Notes

This is a pre-print. The definitive version: ROTHOS, V.M., 2002. Bifurcations of periodics from homoclinics in singular ODE: Applications to discretizations of travelling waves of PDE. Communications on pure and applied analysis, 1(4), pp.475-483.