FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2010692495> ?p ?o ?g. }

• W2010692495 endingPage "43" @default.
• W2010692495 startingPage "1" @default.
• W2010692495 abstract "We consider a chain of Lorenz ’63 systems connected through a local, nearest-neighbour coupling. We refer to the resulting system as the Lorenz‐Fermi‐Pasta‐Ulamlattice because of its similarity to the celebrated experiment conducted by Fermi, Pasta and Ulam. At large coupling strengths, the systems synchronize to a global, chaotic orbit of the Lorenz attractor. For smaller coupling, the synchronized state loses stability. Instead, steady, spatially structured equilibrium states are observed. These steady states are related to the heteroclinic orbits of the system describing stationary solutions to the partial differential equation that emerges on taking the continuum limit of the lattice. Notably, these orbits connect saddle-foci, suggesting the existence of a multitude of such equilibria in relatively wide systems. On lowering the coupling strength yet further, the steady states lose stability in what appear to be always subcritical Hopf bifurcations. This can lead to a variety of time-dependent states with fixed time-averaged spatial structure. Such solutions can be limit cycles, tori or possibly chaotic attractors. “Cluster states” can also occur (though with less regularity), consisting of lattices in which the elements are partitioned into families of synchronized subsystems. Ultimately, for very weak coupling, the lattice loses its time-averaged spatial structure. At this stage, the properties of the lattice are probably chaotic and approximately scale with the lattice size, suggesting that the system is essentially an ensemble of elements that evolve largely independent of one another. The weak interaction, however, is sufficient to induce widespread coherent phases; these are ephemeral states in which the dynamics of one or more subsystems takes a more regular form. We present measures of the complexity of these incoherent lattices, and discuss the concept of a “dynamical horizon” (that is, the distance along the lattice that one subsystem can effectively influence another) and error propagation (how the introduction of a disturbance in one subsystem becomes spread throughout the lattice). ©2000 Elsevier Science B.V. All rights reserved." @default.
• W2010692495 created "2016-06-24" @default.
• W2010692495 creator A5053131188 @default.
• W2010692495 creator A5068068925 @default.
• W2010692495 creator A5091834089 @default.
• W2010692495 date "2000-04-01" @default.
• W2010692495 modified "2023-09-26" @default.
• W2010692495 title "The Lorenz–Fermi–Pasta–Ulam experiment" @default.
• W2010692495 cites W111157985 @default.
• W2010692495 cites W1487936277 @default.
• W2010692495 cites W1549386224 @default.
• W2010692495 cites W1623280345 @default.
• W2010692495 cites W1964095254 @default.
• W2010692495 cites W1964251730 @default.
• W2010692495 cites W1966523973 @default.
• W2010692495 cites W1967662813 @default.
• W2010692495 cites W1968513237 @default.
• W2010692495 cites W1968589664 @default.
• W2010692495 cites W1969688164 @default.
• W2010692495 cites W1970500498 @default.
• W2010692495 cites W1971675569 @default.
• W2010692495 cites W1974767995 @default.
• W2010692495 cites W1979659872 @default.
• W2010692495 cites W1980661496 @default.
• W2010692495 cites W1982942746 @default.
• W2010692495 cites W1991987933 @default.
• W2010692495 cites W1994191643 @default.
• W2010692495 cites W1994520194 @default.
• W2010692495 cites W1995777192 @default.
• W2010692495 cites W2004096249 @default.
• W2010692495 cites W2006595885 @default.
• W2010692495 cites W2007587573 @default.
• W2010692495 cites W2008187568 @default.
• W2010692495 cites W2011592285 @default.
• W2010692495 cites W2024575511 @default.
• W2010692495 cites W2029555270 @default.
• W2010692495 cites W2030381387 @default.
• W2010692495 cites W2036472967 @default.
• W2010692495 cites W2036966540 @default.
• W2010692495 cites W2041050579 @default.
• W2010692495 cites W2041524131 @default.
• W2010692495 cites W2045711471 @default.
• W2010692495 cites W2046772969 @default.
• W2010692495 cites W2050639649 @default.
• W2010692495 cites W2054360812 @default.
• W2010692495 cites W2064393563 @default.
• W2010692495 cites W2068010757 @default.
• W2010692495 cites W2070504300 @default.
• W2010692495 cites W2074911271 @default.
• W2010692495 cites W2088678566 @default.
• W2010692495 cites W2093627340 @default.
• W2010692495 cites W2112561093 @default.
• W2010692495 cites W2115431215 @default.
• W2010692495 cites W2128088552 @default.
• W2010692495 cites W2136143898 @default.
• W2010692495 cites W2141394518 @default.
• W2010692495 cites W2164240342 @default.
• W2010692495 cites W4231836466 @default.
• W2010692495 cites W4236172164 @default.
• W2010692495 doi "https://doi.org/10.1016/s0167-2789(99)00193-1" @default.
• W2010692495 hasPublicationYear "2000" @default.
• W2010692495 type Work @default.
• W2010692495 sameAs 2010692495 @default.
• W2010692495 citedByCount "15" @default.
• W2010692495 crossrefType "journal-article" @default.
• W2010692495 hasAuthorship W2010692495A5053131188 @default.
• W2010692495 hasAuthorship W2010692495A5068068925 @default.
• W2010692495 hasAuthorship W2010692495A5091834089 @default.
• W2010692495 hasBestOaLocation W20106924952 @default.
• W2010692495 hasConcept C121332964 @default.
• W2010692495 hasConcept C121864883 @default.
• W2010692495 hasConcept C186769553 @default.
• W2010692495 hasConcept C26873012 @default.
• W2010692495 hasConcept C33923547 @default.
• W2010692495 hasConceptScore W2010692495C121332964 @default.
• W2010692495 hasConceptScore W2010692495C121864883 @default.
• W2010692495 hasConceptScore W2010692495C186769553 @default.
• W2010692495 hasConceptScore W2010692495C26873012 @default.
• W2010692495 hasConceptScore W2010692495C33923547 @default.
• W2010692495 hasIssue "1-2" @default.
• W2010692495 hasLocation W20106924951 @default.
• W2010692495 hasLocation W20106924952 @default.
• W2010692495 hasOpenAccess W2010692495 @default.
• W2010692495 hasPrimaryLocation W20106924951 @default.
• W2010692495 hasRelatedWork W1991575339 @default.
• W2010692495 hasRelatedWork W1993542064 @default.
• W2010692495 hasRelatedWork W2022790250 @default.
• W2010692495 hasRelatedWork W2059680934 @default.
• W2010692495 hasRelatedWork W2467317310 @default.
• W2010692495 hasRelatedWork W2789123453 @default.
• W2010692495 hasRelatedWork W3101860255 @default.
• W2010692495 hasRelatedWork W3102270905 @default.
• W2010692495 hasRelatedWork W3102605247 @default.
• W2010692495 hasRelatedWork W3105198173 @default.
• W2010692495 hasVolume "138" @default.
• W2010692495 isParatext "false" @default.
• W2010692495 isRetracted "false" @default.
• W2010692495 magId "2010692495" @default.

• next