FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2019946261> ?p ?o ?g. }

• W2019946261 endingPage "657" @default.
• W2019946261 startingPage "631" @default.
• W2019946261 abstract "Discrete breathers are time-periodic, spatially localized solutions of the equations of motion for a system of classical degrees of freedom interacting on a lattice. Such solutions are investigated for a diatomic Fermi–Pasta–Ulam chain (FPU) i.e. a chain of alternate heavy and light masses coupled by anharmonic forces. For hard interaction potentials, discrete breathers in this model are known to exist either as 'optic breathers' with frequencies above the optic band or as 'acoustic breathers' with frequencies in the gap between the acoustic and the optic band. In this paper, bifurcations between different types of discrete breathers are found numerically, with the mass ratio m and the breather frequency ω as bifurcation parameters. We identify a period tripling bifurcation around optic breathers, which leads to new breather solutions with frequencies in the gap, and a second local bifurcation around acoustic breathers. These results provide new breather solutions of the FPU system which interpolate between the classical acoustic and optic modes. The two bifurcation lines originate from a particular 'corner' in parameter space (ω, m). As parameters lie near this corner, we prove by means of a centre manifold reduction that small amplitude solutions can be described by a four-dimensional reversible map. This allows us to derive formally a continuum limit differential equation which characterizes at leading order the numerically observed bifurcations." @default.
• W2019946261 created "2016-06-24" @default.
• W2019946261 creator A5057974027 @default.
• W2019946261 creator A5070553383 @default.
• W2019946261 date "2007-01-31" @default.
• W2019946261 modified "2023-10-17" @default.
• W2019946261 title "Bifurcations of discrete breathers in a diatomic Fermi–Pasta–Ulam chain" @default.
• W2019946261 cites W1966466948 @default.
• W2019946261 cites W1978299435 @default.
• W2019946261 cites W1979114354 @default.
• W2019946261 cites W1981440057 @default.
• W2019946261 cites W1982189916 @default.
• W2019946261 cites W2006092716 @default.
• W2019946261 cites W2007678244 @default.
• W2019946261 cites W2018953260 @default.
• W2019946261 cites W2026041771 @default.
• W2019946261 cites W2028411720 @default.
• W2019946261 cites W2032544850 @default.
• W2019946261 cites W2044883627 @default.
• W2019946261 cites W2051633204 @default.
• W2019946261 cites W2051762947 @default.
• W2019946261 cites W2058232000 @default.
• W2019946261 cites W2058242618 @default.
• W2019946261 cites W2059684627 @default.
• W2019946261 cites W2069226173 @default.
• W2019946261 cites W2071293517 @default.
• W2019946261 cites W2076814083 @default.
• W2019946261 cites W2087249114 @default.
• W2019946261 cites W2087658700 @default.
• W2019946261 cites W2089456272 @default.
• W2019946261 cites W2098692020 @default.
• W2019946261 cites W2102691077 @default.
• W2019946261 cites W2126717834 @default.
• W2019946261 cites W2134465631 @default.
• W2019946261 cites W2152908049 @default.
• W2019946261 cites W2157175817 @default.
• W2019946261 cites W3038047640 @default.
• W2019946261 cites W4301756616 @default.
• W2019946261 doi "https://doi.org/10.1088/0951-7715/20/3/005" @default.
• W2019946261 hasPublicationYear "2007" @default.
• W2019946261 type Work @default.
• W2019946261 sameAs 2019946261 @default.
• W2019946261 citedByCount "25" @default.
• W2019946261 countsByYear W20199462612012 @default.
• W2019946261 countsByYear W20199462612013 @default.
• W2019946261 countsByYear W20199462612016 @default.
• W2019946261 countsByYear W20199462612017 @default.
• W2019946261 countsByYear W20199462612018 @default.
• W2019946261 countsByYear W20199462612019 @default.
• W2019946261 countsByYear W20199462612021 @default.
• W2019946261 crossrefType "journal-article" @default.
• W2019946261 hasAuthorship W2019946261A5057974027 @default.
• W2019946261 hasAuthorship W2019946261A5070553383 @default.
• W2019946261 hasBestOaLocation W20199462614 @default.
• W2019946261 hasConcept C111806078 @default.
• W2019946261 hasConcept C121332964 @default.
• W2019946261 hasConcept C134306372 @default.
• W2019946261 hasConcept C147724859 @default.
• W2019946261 hasConcept C158622935 @default.
• W2019946261 hasConcept C24890656 @default.
• W2019946261 hasConcept C2524010 @default.
• W2019946261 hasConcept C2781204021 @default.
• W2019946261 hasConcept C2781349735 @default.
• W2019946261 hasConcept C32909587 @default.
• W2019946261 hasConcept C33923547 @default.
• W2019946261 hasConcept C62520636 @default.
• W2019946261 hasConcept C73586568 @default.
• W2019946261 hasConcept C74455749 @default.
• W2019946261 hasConcept C74650414 @default.
• W2019946261 hasConceptScore W2019946261C111806078 @default.
• W2019946261 hasConceptScore W2019946261C121332964 @default.
• W2019946261 hasConceptScore W2019946261C134306372 @default.
• W2019946261 hasConceptScore W2019946261C147724859 @default.
• W2019946261 hasConceptScore W2019946261C158622935 @default.
• W2019946261 hasConceptScore W2019946261C24890656 @default.
• W2019946261 hasConceptScore W2019946261C2524010 @default.
• W2019946261 hasConceptScore W2019946261C2781204021 @default.
• W2019946261 hasConceptScore W2019946261C2781349735 @default.
• W2019946261 hasConceptScore W2019946261C32909587 @default.
• W2019946261 hasConceptScore W2019946261C33923547 @default.
• W2019946261 hasConceptScore W2019946261C62520636 @default.
• W2019946261 hasConceptScore W2019946261C73586568 @default.
• W2019946261 hasConceptScore W2019946261C74455749 @default.
• W2019946261 hasConceptScore W2019946261C74650414 @default.
• W2019946261 hasIssue "3" @default.
• W2019946261 hasLocation W20199462611 @default.
• W2019946261 hasLocation W20199462612 @default.
• W2019946261 hasLocation W20199462613 @default.
• W2019946261 hasLocation W20199462614 @default.
• W2019946261 hasOpenAccess W2019946261 @default.
• W2019946261 hasPrimaryLocation W20199462611 @default.
• W2019946261 hasRelatedWork W2017883553 @default.
• W2019946261 hasRelatedWork W2026236086 @default.
• W2019946261 hasRelatedWork W2030584041 @default.
• W2019946261 hasRelatedWork W2081839299 @default.
• W2019946261 hasRelatedWork W2153163137 @default.
• W2019946261 hasRelatedWork W2163891442 @default.
• W2019946261 hasRelatedWork W2269714044 @default.

• next