Matches in SemOpenAlex for { <https://semopenalex.org/work/W4200567250> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W4200567250 endingPage "2150188" @default.
- W4200567250 startingPage "2150188" @default.
- W4200567250 abstract "We develop a method for the construction of a dividing surface using periodic orbits in Hamiltonian systems with three or more degrees-of-freedom that is an alternative to the method presented in [ Katsanikas & Wiggins, 2021 ]. Similar to that method, for an [Formula: see text] degrees-of-freedom Hamiltonian system, we extend a one-dimensional object (the periodic orbit) to a [Formula: see text] dimensional geometrical object in the energy surface of a [Formula: see text] dimensional space that has the desired properties for a dividing surface. The advantage of this new method is that it avoids the computation of the normally hyperbolic invariant manifold (NHIM) (as the first method did) and it is easier to numerically implement than the first method of constructing periodic orbit dividing surfaces. Moreover, this method has less strict required conditions than the first method for constructing periodic orbit dividing surfaces. We apply the new method to a benchmark example of a Hamiltonian system with three degrees-of-freedom for which we are able to investigate the structure of the dividing surface in detail. We also compare the periodic orbit dividing surfaces constructed in this way with the dividing surfaces that are constructed starting with a NHIM. We show that these periodic orbit dividing surfaces are subsets of the dividing surfaces that are constructed from the NHIM." @default.
- W4200567250 created "2021-12-31" @default.
- W4200567250 creator A5015664879 @default.
- W4200567250 creator A5067867570 @default.
- W4200567250 date "2021-09-25" @default.
- W4200567250 modified "2023-09-26" @default.
- W4200567250 title "The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom – II" @default.
- W4200567250 cites W1579475312 @default.
- W4200567250 cites W1964627665 @default.
- W4200567250 cites W1967579835 @default.
- W4200567250 cites W2017655464 @default.
- W4200567250 cites W2055426841 @default.
- W4200567250 cites W2072568418 @default.
- W4200567250 cites W2097504123 @default.
- W4200567250 cites W2104559955 @default.
- W4200567250 cites W2134402432 @default.
- W4200567250 cites W2561640657 @default.
- W4200567250 cites W2892522214 @default.
- W4200567250 cites W2952202929 @default.
- W4200567250 cites W3102158510 @default.
- W4200567250 cites W3193943045 @default.
- W4200567250 doi "https://doi.org/10.1142/s0218127421501881" @default.
- W4200567250 hasPublicationYear "2021" @default.
- W4200567250 type Work @default.
- W4200567250 citedByCount "1" @default.
- W4200567250 countsByYear W42005672502023 @default.
- W4200567250 crossrefType "journal-article" @default.
- W4200567250 hasAuthorship W4200567250A5015664879 @default.
- W4200567250 hasAuthorship W4200567250A5067867570 @default.
- W4200567250 hasConcept C11413529 @default.
- W4200567250 hasConcept C121332964 @default.
- W4200567250 hasConcept C121770821 @default.
- W4200567250 hasConcept C126255220 @default.
- W4200567250 hasConcept C127413603 @default.
- W4200567250 hasConcept C130787639 @default.
- W4200567250 hasConcept C134306372 @default.
- W4200567250 hasConcept C146978453 @default.
- W4200567250 hasConcept C158622935 @default.
- W4200567250 hasConcept C184481792 @default.
- W4200567250 hasConcept C190470478 @default.
- W4200567250 hasConcept C196644772 @default.
- W4200567250 hasConcept C200581526 @default.
- W4200567250 hasConcept C208081375 @default.
- W4200567250 hasConcept C2524010 @default.
- W4200567250 hasConcept C2776799497 @default.
- W4200567250 hasConcept C2781349735 @default.
- W4200567250 hasConcept C2984157986 @default.
- W4200567250 hasConcept C33923547 @default.
- W4200567250 hasConcept C37914503 @default.
- W4200567250 hasConcept C45374587 @default.
- W4200567250 hasConcept C62520636 @default.
- W4200567250 hasConcept C74650414 @default.
- W4200567250 hasConceptScore W4200567250C11413529 @default.
- W4200567250 hasConceptScore W4200567250C121332964 @default.
- W4200567250 hasConceptScore W4200567250C121770821 @default.
- W4200567250 hasConceptScore W4200567250C126255220 @default.
- W4200567250 hasConceptScore W4200567250C127413603 @default.
- W4200567250 hasConceptScore W4200567250C130787639 @default.
- W4200567250 hasConceptScore W4200567250C134306372 @default.
- W4200567250 hasConceptScore W4200567250C146978453 @default.
- W4200567250 hasConceptScore W4200567250C158622935 @default.
- W4200567250 hasConceptScore W4200567250C184481792 @default.
- W4200567250 hasConceptScore W4200567250C190470478 @default.
- W4200567250 hasConceptScore W4200567250C196644772 @default.
- W4200567250 hasConceptScore W4200567250C200581526 @default.
- W4200567250 hasConceptScore W4200567250C208081375 @default.
- W4200567250 hasConceptScore W4200567250C2524010 @default.
- W4200567250 hasConceptScore W4200567250C2776799497 @default.
- W4200567250 hasConceptScore W4200567250C2781349735 @default.
- W4200567250 hasConceptScore W4200567250C2984157986 @default.
- W4200567250 hasConceptScore W4200567250C33923547 @default.
- W4200567250 hasConceptScore W4200567250C37914503 @default.
- W4200567250 hasConceptScore W4200567250C45374587 @default.
- W4200567250 hasConceptScore W4200567250C62520636 @default.
- W4200567250 hasConceptScore W4200567250C74650414 @default.
- W4200567250 hasIssue "12" @default.
- W4200567250 hasLocation W42005672501 @default.
- W4200567250 hasOpenAccess W4200567250 @default.
- W4200567250 hasPrimaryLocation W42005672501 @default.
- W4200567250 hasRelatedWork W1983733220 @default.
- W4200567250 hasRelatedWork W1995065510 @default.
- W4200567250 hasRelatedWork W2040267300 @default.
- W4200567250 hasRelatedWork W2056812907 @default.
- W4200567250 hasRelatedWork W2123321698 @default.
- W4200567250 hasRelatedWork W2954763612 @default.
- W4200567250 hasRelatedWork W3192909774 @default.
- W4200567250 hasRelatedWork W3196867625 @default.
- W4200567250 hasRelatedWork W4254883948 @default.
- W4200567250 hasRelatedWork W2525096725 @default.
- W4200567250 hasVolume "31" @default.
- W4200567250 isParatext "false" @default.
- W4200567250 isRetracted "false" @default.
- W4200567250 workType "article" @default.