Matches in SemOpenAlex for { <https://semopenalex.org/work/W299725101> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W299725101 abstract "The object of this chapter is to study Hopf bifurcation with O(2) symmetry in some depth, including a formal analysis—that is, assuming Birkhoff normal form—of nonlinear degeneracies. The most important case, to which most others reduce, is the standard action of O(2) on ℝ2. Since this representation is absolutely irreducible the corresponding Hopf bifurcation occurs on ℝ2 ⊕ ℝ2. We repeat the calculations of XVI, §7(c), in a more convenient coordinate system and in greater detail. In §1 we find that there are two maximal isotropy subgroups, corresponding to standing and rotating waves, as in the example of a circular hosepipe. We also give a brief discussion of nonstandard actions of O(2), for which the standing and rotating waves acquire extra spatial symmetry. In §2 we derive the generators for the invariants and equivariants of O(2) × S1 acting on ℝ2 ⊕ ℝ2. In §3 we apply these results to analyze the branching directions of these solutions in terms of the Taylor expansion of the vector field." @default.
- W299725101 created "2016-06-24" @default.
- W299725101 creator A5031548189 @default.
- W299725101 creator A5044405191 @default.
- W299725101 creator A5079169390 @default.
- W299725101 date "1988-01-01" @default.
- W299725101 modified "2023-09-27" @default.
- W299725101 title "Hopf Bifurcation with O(2) Symmetry" @default.
- W299725101 doi "https://doi.org/10.1007/978-1-4612-4574-2_9" @default.
- W299725101 hasPublicationYear "1988" @default.
- W299725101 type Work @default.
- W299725101 sameAs 299725101 @default.
- W299725101 citedByCount "6" @default.
- W299725101 crossrefType "book-chapter" @default.
- W299725101 hasAuthorship W299725101A5031548189 @default.
- W299725101 hasAuthorship W299725101A5044405191 @default.
- W299725101 hasAuthorship W299725101A5079169390 @default.
- W299725101 hasConcept C121332964 @default.
- W299725101 hasConcept C134306372 @default.
- W299725101 hasConcept C158622935 @default.
- W299725101 hasConcept C159985019 @default.
- W299725101 hasConcept C172435161 @default.
- W299725101 hasConcept C184050105 @default.
- W299725101 hasConcept C192562407 @default.
- W299725101 hasConcept C202444582 @default.
- W299725101 hasConcept C206175624 @default.
- W299725101 hasConcept C2524010 @default.
- W299725101 hasConcept C2779886137 @default.
- W299725101 hasConcept C2780791683 @default.
- W299725101 hasConcept C2781349735 @default.
- W299725101 hasConcept C33923547 @default.
- W299725101 hasConcept C37914503 @default.
- W299725101 hasConcept C62520636 @default.
- W299725101 hasConceptScore W299725101C121332964 @default.
- W299725101 hasConceptScore W299725101C134306372 @default.
- W299725101 hasConceptScore W299725101C158622935 @default.
- W299725101 hasConceptScore W299725101C159985019 @default.
- W299725101 hasConceptScore W299725101C172435161 @default.
- W299725101 hasConceptScore W299725101C184050105 @default.
- W299725101 hasConceptScore W299725101C192562407 @default.
- W299725101 hasConceptScore W299725101C202444582 @default.
- W299725101 hasConceptScore W299725101C206175624 @default.
- W299725101 hasConceptScore W299725101C2524010 @default.
- W299725101 hasConceptScore W299725101C2779886137 @default.
- W299725101 hasConceptScore W299725101C2780791683 @default.
- W299725101 hasConceptScore W299725101C2781349735 @default.
- W299725101 hasConceptScore W299725101C33923547 @default.
- W299725101 hasConceptScore W299725101C37914503 @default.
- W299725101 hasConceptScore W299725101C62520636 @default.
- W299725101 hasLocation W2997251011 @default.
- W299725101 hasOpenAccess W299725101 @default.
- W299725101 hasPrimaryLocation W2997251011 @default.
- W299725101 hasRelatedWork W132516112 @default.
- W299725101 hasRelatedWork W140635225 @default.
- W299725101 hasRelatedWork W1988244768 @default.
- W299725101 hasRelatedWork W1996272580 @default.
- W299725101 hasRelatedWork W2001978131 @default.
- W299725101 hasRelatedWork W2027529973 @default.
- W299725101 hasRelatedWork W2037611553 @default.
- W299725101 hasRelatedWork W2066751804 @default.
- W299725101 hasRelatedWork W2129128214 @default.
- W299725101 hasRelatedWork W215434735 @default.
- W299725101 hasRelatedWork W2183074794 @default.
- W299725101 hasRelatedWork W2244460725 @default.
- W299725101 hasRelatedWork W2768235497 @default.
- W299725101 hasRelatedWork W2793373798 @default.
- W299725101 hasRelatedWork W31219250 @default.
- W299725101 hasRelatedWork W333504447 @default.
- W299725101 hasRelatedWork W37134176 @default.
- W299725101 hasRelatedWork W66929118 @default.
- W299725101 hasRelatedWork W949012762 @default.
- W299725101 hasRelatedWork W959339149 @default.
- W299725101 isParatext "false" @default.
- W299725101 isRetracted "false" @default.
- W299725101 magId "299725101" @default.
- W299725101 workType "book-chapter" @default.