Matches in SemOpenAlex for { <https://semopenalex.org/work/W2570374224> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W2570374224 endingPage "47" @default.
- W2570374224 startingPage "1" @default.
- W2570374224 abstract "A numerical procedure is presented for the automatic accurate location of certain codimension-two homoclinic singularities along curves of codimension-one homoclinic bifurcations to hyperbolic equilibria in autonomous systems of ordinary differential equations. The procedure also allows for the continuation of multiple-codimension homoclinic orbits in the relevant number of free parameters. A systematic treatment is given of codimension-two bifurcations that involve a unique homoclinic orbit. In each case the known theoretical results are reviewed and a regular test-function is derived for a truncated problem. In particular, the test-functions for global degeneracies involving the orientation of a homoclinic loop are presented. It is shown how such a procedure can be incorporated into an existing boundary-value method for homoclinic continuation and implemented using the continuation code AUTO. Several examples are studied, including Chua’s electronic circuit and the FitzHugh-Nagumo equations. In each case, the method is shown to reproduce codimension-two bifurcation points that have previously been found using ad hoc methods, and, in some cases, to obtain new results." @default.
- W2570374224 created "2017-01-13" @default.
- W2570374224 creator A5031796024 @default.
- W2570374224 creator A5088563106 @default.
- W2570374224 date "1993-01-01" @default.
- W2570374224 modified "2023-09-28" @default.
- W2570374224 title "Numerical detection and continuation of codimension-two homoclinic bifurcations" @default.
- W2570374224 hasPublicationYear "1993" @default.
- W2570374224 type Work @default.
- W2570374224 sameAs 2570374224 @default.
- W2570374224 citedByCount "0" @default.
- W2570374224 crossrefType "journal-article" @default.
- W2570374224 hasAuthorship W2570374224A5031796024 @default.
- W2570374224 hasAuthorship W2570374224A5088563106 @default.
- W2570374224 hasConcept C121332964 @default.
- W2570374224 hasConcept C12843 @default.
- W2570374224 hasConcept C134306372 @default.
- W2570374224 hasConcept C155405617 @default.
- W2570374224 hasConcept C158622935 @default.
- W2570374224 hasConcept C199360897 @default.
- W2570374224 hasConcept C200581526 @default.
- W2570374224 hasConcept C2775978667 @default.
- W2570374224 hasConcept C2781349735 @default.
- W2570374224 hasConcept C33923547 @default.
- W2570374224 hasConcept C41008148 @default.
- W2570374224 hasConcept C62520636 @default.
- W2570374224 hasConcept C83979697 @default.
- W2570374224 hasConcept C88626702 @default.
- W2570374224 hasConceptScore W2570374224C121332964 @default.
- W2570374224 hasConceptScore W2570374224C12843 @default.
- W2570374224 hasConceptScore W2570374224C134306372 @default.
- W2570374224 hasConceptScore W2570374224C155405617 @default.
- W2570374224 hasConceptScore W2570374224C158622935 @default.
- W2570374224 hasConceptScore W2570374224C199360897 @default.
- W2570374224 hasConceptScore W2570374224C200581526 @default.
- W2570374224 hasConceptScore W2570374224C2775978667 @default.
- W2570374224 hasConceptScore W2570374224C2781349735 @default.
- W2570374224 hasConceptScore W2570374224C33923547 @default.
- W2570374224 hasConceptScore W2570374224C41008148 @default.
- W2570374224 hasConceptScore W2570374224C62520636 @default.
- W2570374224 hasConceptScore W2570374224C83979697 @default.
- W2570374224 hasConceptScore W2570374224C88626702 @default.
- W2570374224 hasLocation W25703742241 @default.
- W2570374224 hasOpenAccess W2570374224 @default.
- W2570374224 hasPrimaryLocation W25703742241 @default.
- W2570374224 hasRelatedWork W1590158552 @default.
- W2570374224 hasRelatedWork W170447982 @default.
- W2570374224 hasRelatedWork W1970228344 @default.
- W2570374224 hasRelatedWork W1971011373 @default.
- W2570374224 hasRelatedWork W1978787160 @default.
- W2570374224 hasRelatedWork W2000874527 @default.
- W2570374224 hasRelatedWork W2001232314 @default.
- W2570374224 hasRelatedWork W2032179944 @default.
- W2570374224 hasRelatedWork W2033980468 @default.
- W2570374224 hasRelatedWork W2039299540 @default.
- W2570374224 hasRelatedWork W2063388951 @default.
- W2570374224 hasRelatedWork W2110204576 @default.
- W2570374224 hasRelatedWork W2170213227 @default.
- W2570374224 hasRelatedWork W2320020471 @default.
- W2570374224 hasRelatedWork W2359638629 @default.
- W2570374224 hasRelatedWork W2532622573 @default.
- W2570374224 hasRelatedWork W2588821400 @default.
- W2570374224 hasRelatedWork W2738971580 @default.
- W2570374224 hasRelatedWork W3186648203 @default.
- W2570374224 hasRelatedWork W64821788 @default.
- W2570374224 isParatext "false" @default.
- W2570374224 isRetracted "false" @default.
- W2570374224 magId "2570374224" @default.
- W2570374224 workType "article" @default.