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Dynamical Systems
An International Journal
Volume 19, 2004 - Issue 3
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Original Articles

Identification of coupled map lattice models of stochastic spatio-temporal dynamics using wavelets

Pages 265-278 | Received 02 Jun 2004, Accepted 06 May 2004, Published online: 01 Oct 2010

References

  • Adamatzky , A . 2003 . On patterns in affective media . International Journal of Modern Physics C , 14 ( 5 ) : 673 – 687 .
  • Bertram , M , Beta , C , Pollmann , M , Mikhailov , AS , Rotermund , HH and Ertl , G . 2003 . Pattern formation on the edge of chaos: experiments with CO oxidation on a Pt(110) surface under global delayed feedback . Physical. Review E , 67 ( 3 ) : 036208
  • Billings SA Guo LZ Wei HL 2003a Identification of spatio-temporal systems using multiresolution wavelet models (submitted for publication)
  • Billings SA Wei HL Mei SS Guo LZ 2003b Identification of coupled map lattice models for spatio-temporal patterns using wavelets (submitted for publication)
  • Blanc-Talon , J . 1999 . Effective computation of 2D coupled map lattices . Complexity International , 6
  • Chen , S , Billings , SA and Luo , W . 1989 . Orthogonal least squares methods and their application to non-linear system identification.comma . International Journal of Control , 50 ( 5 ) : 1873 – 1896 .
  • Chui , CK and Wang , JZ . 1991 . A general framework of compactly supported splines and wavelets . Journal of Approximation Theroy , 71 : 263 – 304 .
  • Coca , D and Billings , SA . 2001 . Identification of coupled map lattice models of complex spatio-temporal patterns . Physics Letters , A287 : 65 – 73 .
  • Coca , D and Billings , SA . 2003 . Analysis and reconstruction of stochastic coupled map lattice models . Physics Letters , A315 : 61 – 75 .
  • DeVore , RA , Jawerth , B and Popov , V . 1992 . Compression of wavelet decompositions . American Journal of Mathematics , 114 : 737 – 785 .
  • Goldman , DI , Shattuck , MD , Sung , JM , Swift , JB and Swinney , HL . 2003 . Lattice dynamics and melting of a nonequilibrium pattern . Physical Review Letters , 90 ( 10 ) : 104302
  • Grabec I Mandelj S 1997 Continuation of chaotic fields by RBFNN Biological and Artificial Computation: From Neuroscience to Technology: Proc. Lecture Notes in Computer Science, Vol. 1240, edited by J. Mira et al Berlin Springer-Verlag pp. 597–606
  • Gradisek , J , Siegert , S , Friedrich , R and Grabec , I . 2000 . Analysis of time series from stochastic processes . Physical Review E , 62 ( 3 ) : 3146 – 3155 .
  • Guo LZ Mei SS Billings SA 2002 Neighbourhood detection and identification of spatio-temporal dynamical systems using a coarse-to-fine approach (submitted for publication)
  • Infeld E Rowlands G 2000 Nonlinear Waves, Solitons, and Chaos 2nd edn Cambridge Cambridge University Press
  • Kaneko K (editor) 1993 Coupled Map Lattices: Theory and Experiment Singapore World Scientific
  • Köhler , P , Reinhard , K and Huth , A . 2002 . Simulating anthropogenic impacts to bird communities in tropical rain forests . Biological Conservation , 108 : 35 – 47 .
  • Losson , J and Mackey , M . 1995 . Evolution of probability densities in stochastic coupled map lattices . Physical Review E , 52 ( 2 ) : 1403 – 1420 .
  • Mandelj , S , Grabec , I and Govekar , E . 2001 . Statistical approach to modeling of spatiotemporal dynamics . International Journal of Bifurcation and Chaos , 11 ( 11 ) : 2731 – 2738 .
  • Marcos-Nikolaus , P , Martin-Gonzalez , JM and Sóle , RV . 2002 . Spatial forcasting: detecting determinism from single snapshots, . International Journal of Bifurcation and Chaos , 12 ( 2 ) : 369 – 376 .
  • Parlitz , U and Merkwirth , C . 2000 . Prediction of spatiotemporal time series based on reconstructed local states . Physical Review Letters , 84 ( 9 ) : 2820 – 2823 .
  • Sóle , RV , Valls , J and Bascompte , J . 1992 . Spiral waves, chaos and multiple attactors in lattice models of interacting populations . Physics Letters , A166 ( 2 ) : 123 – 128 .
  • Tabor M 1989 Chaos and Integrability in Nonlinear Dynamics: An Introduction New York Wiley
  • Tabuchi , E , Yakawa , T , Mallick , H , Inubushi , T , Kondoh , T , Ono , T and Torii , K . 2002 . Spatio-temporal dynamics of brain activated regions during drinking behaviour in rats . Brain Research , 951 : 270 – 279 .
  • Takasaki K 2004 Many faces of solitons Available at: http://www.math.h.kyoto-u.ac.jp/takasaki/soliton-lab/gallery/solitons/sg-e.html
  • Yanagita , T and Kaneko , K . 1997 . Modeling and characterisation of cloud dynamics . Physical Review Letters , 78 ( 22 ) : 4297 – 4300 .

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