Visualization of Local Stability of Dynamical Systems

Georg Fischel, Meister Eduard Gröller
Visualization of Local Stability of Dynamical Systems
TR-186-2-95-2, January 1995 [ paper]
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Abstract

Several methods for visualizing local stability properties of dynamical systems are presented. The calculation of characteristic values of local stability for linear and nonlinear systems is discussed. Two principles of visualizing local stability are introduced. The first principle is to display the estimated stability values directly by using scaled spheres or vectors. The second principle uses numerical analysis which generates portions of sweeps, that are deformed in dependence of local stability properties.

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@techreport{Fischel-1995-VLS,
  title =      "Visualization of Local Stability of Dynamical Systems",
  author =     "Georg Fischel and Meister Eduard Gr{\"o}ller",
  year =       "1995",
  abstract =   "Several methods for visualizing local stability properties
               of dynamical systems are presented. The calculation of
               characteristic values of local stability for linear and
               nonlinear systems is discussed. Two principles of
               visualizing local stability are introduced. The first
               principle is to display the estimated stability values
               directly by using scaled spheres or vectors. The second
               principle uses numerical analysis which generates portions
               of sweeps, that are deformed in dependence of local 		
               stability properties.",
  address =    "Favoritenstrasse 9-11/186, A-1040 Vienna, Austria",
  institution = "Institute of Computer Graphics and Algorithms, Vienna
               University of Technology",
  note =       "human contact: technical-report@cg.tuwien.ac.at",
  month =      jan,
  number =     "TR-186-2-95-2",
  URL =        "http://www.cg.tuwien.ac.at/research/publications/1995/Fischel-1995-VLS/",
}