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Spatial disorder and pattern formation in lattices of coupled bistable elements

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dc.contributor.authorMakarov Slizneva, Valeriy
dc.contributor.authorNekorkin, Vladimir I.
dc.contributor.authorKazantsev, V.B.
dc.contributor.authorVelarde, Manuel G.
dc.date.accessioned2023-06-20T17:03:30Z
dc.date.available2023-06-20T17:03:30Z
dc.date.issued1997-02-01
dc.description.abstractThe spatio-temporal dynamics of discrete lattices of coupled bistable elements is considered. It is shown that both regular and chaotic spatial field distributions can be realized depending on parameter values and initial conditions. For illustration we provide results for two lattice systems: the FitzHugh-Nagumo model and a network of coupled bistable oscillators. For the latter we also prove the existence of phase clusters, with phase locking of elements in each cluster
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipINTAS
dc.description.sponsorshipDGICYT (Spain)
dc.description.sponsorshipFundación "Ramon Areces"
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/17071
dc.identifier.doi10.1016/S0167-2789(96)00202-3
dc.identifier.issn0167-2789
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0167278996002023#
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57701
dc.issue.number3-4
dc.journal.titlePhysica D-Nonlinear Phenomena
dc.language.isoeng
dc.page.initial330
dc.publisherElsevier
dc.relation.projectID94-929
dc.relation.projectIDPB93-81
dc.rights.accessRightsrestricted access
dc.subject.cdu004.451
dc.subject.keywordSpatial disorder
dc.subject.keywordPatterns
dc.subject.keywordBistable oscillators
dc.subject.keywordReaction-diffusion
dc.subject.keywordLattices
dc.subject.keywordDiscrete nagumo equation
dc.subject.keywordSystems
dc.subject.keywordPropagation
dc.subject.keywordOscillators
dc.subject.keywordFailure
dc.subject.keywordCells
dc.subject.keywordChain
dc.subject.ucmSistemas operativos (Ordenadores)
dc.subject.unesco3304.16 Diseño Lógico
dc.titleSpatial disorder and pattern formation in lattices of coupled bistable elements
dc.typejournal article
dc.volume.number100
dcterms.referencesC.M. Bowden, M. Ciftan, J.R. Robl (Eds.), Optical Bistability, Plenum, New York (1981) A. Hohl, H.J.C. Van der Linden, R. Roy Scalling laws for dynamical hysteresis in a multidimensional laser system Phys. Rev. lett., 74 (1995), pp. 2220–2223 J.D. Murray Mathematical Biology Springer, Berlin (1993) A.T. Winfree Varieties of spiral wave behaviour: An experimentalists approach to the theory of excitable media Chaos, 1 (1991), pp. 303–334 J.P. Keener Propagation and its failure in coupled systems of discrete excitable cells SIAM J. Math. Appl. Math., 47 (1987), pp. 556–572 B. Zinner Stability of travelling wavefronts for the discrete Nagumo equation SIAM J. Math. Anal., 22 (1991), pp. 1016–1020 B. Zinner Existence of travelling wavefront solutions for the discrete Nagumo equation J. Diff. Eqns., 96 (1992), pp. 1–27 T. Erneux, G. Nicolis Propagating waves in discrete bistable reaction-diffusion systems Physica D, 67 (1993), pp. 237–244 A.R.A. Anderson, B.D. Sleeman Wave front propagation and its failure in coupled systems of discrete bistable cells modelled by FitzHugh-Nagumo dynamics Int. J. Bifurc. and Chaos, 5 (1995), pp. 63–74 R.S. Mackay, J.-A. Sepulchre Multistability in networks of weakly coupled bistable units Physica D, 82 (1995), pp. 243–254 A.-D. Defontaines, Y. Pomeau, B. Rostand Chain of coupled bistable oscillators: A model Physica D, 46 (1990), pp. 201–216 V.I. Nekorkin, V.A. Makarov Spatial chaos in a chain of coupled bistable oscillators Phys. Rev. Lett., 74 (1995), pp. 4819–4822 V.I. Nekorkin, V.A. Makarov, M.G. Velarde Spatial disorder and waves in a ring chain of bistable oscillators Int. J. Bifurc. and Chaos (1996) to appear V.S. Afraimovich, L.Y. Glebsky, V.I. Nekorkin Stability of stationary states and topological spatial chaos in multidimensional lattice dynamical systems Int. J. Random Comput. Dyn., 2 (1994), pp. 287–303 D. Zwillinger Handbook of Differential Equations Academic Press, London (1989) V.S. Afraimovich, V.I. Nekorkin, G.V. Osipov, V.D. Shalfeev Stability, Structures and Chaos in Nonlinear Synchronization Networks World Scientific, Singapore (1995) V.S. Afraimovich, A.B. Ezersky, M.I. Rabinovich, M.A. Shereshevsky, A.L. Zhelenznyak Dynamical description of spatial disorder Physica D, 58 (1992), pp. 331–338 J. Rinzel Some mathematical Questions in Biology. VII, Lectures on Mathematics in the Life Sciences, Vol. 8, American Mathematical Society, Providence, RI (1976), pp. 125–164 R. Horn, U. Johnson Matrix Analysis Cambridge University Press, Cambridge (1986)
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relation.isAuthorOfPublication.latestForDiscoverya5728eb3-1e14-4d59-9d6f-d7aa78f88594

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