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

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.

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Main Authors: Michael Feckan, Vassilios M. Rothos
Format: Default Preprint
Published: 2001
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Online Access:https://hdl.handle.net/2134/708
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author Michael Feckan
Vassilios M. Rothos
author_facet Michael Feckan
Vassilios M. Rothos
author_sort Michael Feckan (7160447)
collection Figshare
description 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.
format Default
Preprint
id rr-article-9383393
institution Loughborough University
publishDate 2001
record_format Figshare
spelling rr-article-93833932001-01-01T00:00:00Z Bifurcations of periodics from homoclinics in singular ODE: Applications to discretizations of travelling waves of PDE Michael Feckan (7160447) Vassilios M. Rothos (7159961) Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified 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. 2001-01-01T00:00:00Z Text Preprint 2134/708 https://figshare.com/articles/preprint/Bifurcations_of_periodics_from_homoclinics_in_singular_ODE_Applications_to_discretizations_of_travelling_waves_of_PDE/9383393 CC BY-NC-ND 4.0
spellingShingle Other mathematical sciences not elsewhere classified
untagged
Mathematical Sciences not elsewhere classified
Michael Feckan
Vassilios M. Rothos
Bifurcations of periodics from homoclinics in singular ODE: Applications to discretizations of travelling waves of PDE
title Bifurcations of periodics from homoclinics in singular ODE: Applications to discretizations of travelling waves of PDE
title_full Bifurcations of periodics from homoclinics in singular ODE: Applications to discretizations of travelling waves of PDE
title_fullStr Bifurcations of periodics from homoclinics in singular ODE: Applications to discretizations of travelling waves of PDE
title_full_unstemmed Bifurcations of periodics from homoclinics in singular ODE: Applications to discretizations of travelling waves of PDE
title_short Bifurcations of periodics from homoclinics in singular ODE: Applications to discretizations of travelling waves of PDE
title_sort bifurcations of periodics from homoclinics in singular ode: applications to discretizations of travelling waves of pde
topic Other mathematical sciences not elsewhere classified
untagged
Mathematical Sciences not elsewhere classified
url https://hdl.handle.net/2134/708