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Visualization of nonlocality in coupled map latices

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Języki publikacji
EN
Abstrakty
EN
Numerical simulations of coupled map lattices with various degree of nonlocality have been performed. Quantitative characteristics of recently introduced for local coupling have been applied in the nonlocal case. It has been attempted to draw qualitative conclusions about nonlocality from the emerging pictures.
Twórcy
autor
  • Faculty of Applications of Informatics and Mathematics - WZIM, Warsaw University of Life Sciences - SGGW, Nowoursynowska 159, 02-775 Warsaw, Poland
autor
  • Faculty of Applications of Informatics and Mathematics - WZIM, Warsaw University of Life Sciences - SGGW, Nowoursynowska 159, 02-775 Warsaw, Poland
autor
  • Faculty of Applications of Informatics and Mathematics - WZIM, Warsaw University of Life Sciences - SGGW, Nowoursynowska 159, 02-775 Warsaw, Poland
  • Faculty of Applications of Informatics and Mathematics - WZIM, Warsaw University of Life Sciences - SGGW, Nowoursynowska 159, 02-775 Warsaw, Poland
autor
  • Faculty of Applications of Informatics and Mathematics - WZIM, Warsaw University of Life Sciences - SGGW, Nowoursynowska 159, 02-775 Warsaw, Poland
Bibliografia
  • [1] Dynamics of Coupled Map Lattices and Related Spatially Extended Systems. J.R. Chazottes and B. Fernandez (Eds.), Springer, New York, 2005.
  • [2] Ilachinski A. Cellular Automata. A Discrete Universe. World Scientific, Singapore 2001.
  • [3] Kaneko K. Period-doubling of kink-antikink patterns, quasiperiodicity in antiferro-like structures and spatial intermittency in coupled logistic lattice: towards a prelude of a "Field theory of chaos". Prog. Theor. Phys. 72:480-486, 1984.
  • [4] Waller I. and Kapral R. Spatial and temporal structure in systems of coupled nonlinear oscillators. Phys. Rev. A 31:2047-2055, 1984.
  • [5] Kapral R. Pattern formation in two-dimensional arrays of coupled, discrete-time oscillators. Phys. Rev. A 31:3868-3879, 1985.
  • [6] Kaneko K. Pattern dynamics in spatiotemporal chaos: Pattern selection, diffusion of defect and pattern competition intermittency. Physica D 34:1-41, 1989.
  • [7] Yanagita T. and Kaneko K. Rayleigh-Bnard convection patterns, chaos, spatiotemporal chaos and turbulence. Physica D 82:288-313, 1995.
  • [8] Yanagita T. Coupled map lattice model of boiling Phys. Lett. A 165:405-408, 1992.
  • [9] Yanagita T. and Kaneko K. Modeling and characterization of cloud dynamics Phys. Rev. Lett. 78:4297-4300, 1997.
  • [10] Kaneko K. In: Pattern Dynamics, Information Flow, and Thermodynamics of Spatiotemporal Chaos. K. Kawasaki, A. Onuki, and M. Suzuki (Eds.), World Scientific, Singapore 1990.
  • [11] Muruganandam P., Francisco F., de Menezes M., and Ferreira F.F. Chaos, Solitons and Fractals 41:997, 2009.
  • [12] Abrams D.M. and Strogatz S.H. Chimera states for coupled oscillators. Phys. Rev. Lett. 93:174102, 2004.
  • [13] Omelchenko I., Maistrenko Y., Hövel P. and Schöll E. Loss of coherence in dynamical networks: spatial chaos and chimera states. arxiv:1102.4709v2 [nlin.AO]
  • [14] Panaggio M.J. and Abrams D.M. Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators. Nonlinearity 28:R67-R87, 2015.
  • [15] Maistrenko Y., Sudakov. O., Osiv. O, and Maistrenko V. Chimera states in three dimensions. New J. Phys. 17:073037, 2015.
  • [16] Janowicz M. and Orlowski A. Coherence and large-scale pattern formation in coupled logistic-map lattices via computer algbera systems. In Computer Algebra in Scientific Computing. CASC 2014, V. Gerdt, W. Koepf and W.M. Seiler (Eds.), pp. 230-241. Lecture Notes in Computer Science, vol. 8660, 2014.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-fc1b416d-132d-4079-844d-42770a19e63f
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