KLTOOL: A tool to analyze spatio‐temporal complexity. We announce the availability of a software package, called kltool, that can extract phase space information from complex spatiotemporal data via the Karhunen-Loeve analysis. Data generated by the periodic, quasiperiodic or chaotic evolution of a small number of spatially coherent structures can be processed. A key feature of kltool is that it allows the user to interact easily with the data processing and its graphical display. We illustrate the use of kltool on numerical data from the Kuramoto-Sivashinsky equation and laboratory data from a flame experiment.

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  1. Oprea, Iuliana; Triandaf, Ioana; Dangelmayr, Gerhard; Schwartz, Ira B.: Quantitative and qualitative characterization of zigzag spatiotemporal chaos in a system of amplitude equations for nematic electroconvection (2007)
  2. Abel, Markus: Nonparametric modeling and spatiotemporal dynamical systems. (2004)
  3. Smaoui, Nejib: A hybrid neural network model for the dynamics of the Kuramoto-Sivashinsky equation (2004)
  4. Smaoui, Nejib: Linear versus nonlinear dimensionality reduction of high-dimensional dynamical systems (2004)
  5. Kaiktsis, Lambros; Monkewitz, Peter A.: Global destabilization of flow over a backward-facing step (2003)
  6. Smaoui, Nejib; Zribi, Mohamed: Controlling the dynamics of the Kuramoto-Sivashinsky equation (2003)
  7. Guan, Shuguang; Lai, C.-H.; Wei, G. W.: A wavelet method for the characterization of spatiotemporal patterns (2002)
  8. Palacios, Antonio; Gorman, Michael; Gunaratne, Gemunu H.: Modal decomposition of hopping states in cellular flames (1999)
  9. Jones, Don A.; Poje, Andrew C.; Margolin, Len G.: Resolution effects and enslaved finite-difference schemes for a double gyre, shallow-water model (1997)
  10. Palacios, Antonio; Gunaratne, Gemunu H.; Gorman, Michael: Cellular pattern formation in circular domains (1997)
  11. Smaoui, Nejib: Artificial neural network-based low-dimensional model for spatio-temporally varying cellular flames (1997)
  12. Armbruster, Dieter; Nicolaenko, B.; Smaoui, N.; Chossat, Pascal: Symmetries and dynamics for 2-D Navier-Stokes flow (1996)
  13. Armbruster, Dieter; Stone, Emily; Heiland, Randy: Towards analyzing the dynamics of flames (1996)
  14. Stone, Emily; Cutler, Adele: Archetypal analysis of spatio-temporal dynamics (1996)
  15. Armbruster, D.; Nicolaenko, B.; Smaoui, N.; Chossat, P.: Analyzing bifurcations in the Kolmogorov flow equations (1994)