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Visualization of local stability of dynamical systems

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Visualization in Scientific Computing ’95

Part of the book series: Eurographics ((EUROGRAPH))

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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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References

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Author information

Authors and Affiliations

  1. Institute of Computer Graphics, Technical University Vienna, Karlsplatz 13/186/2, A-1040, Vienna, Austria

    Georg Fischel & Eduard Gröller

Authors
  1. Georg Fischel
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  2. Eduard Gröller
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Editor information

Editors and Affiliations

  1. CRS4, Cagliari, Italy

    Riccardo Scateni  & Pietro Zanarini  & 

  2. ECN, Petten, The Netherlands

    Jarke J. van Wijk

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© 1995 Springer-Verlag/Wien

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Fischel, G., Gröller, E. (1995). Visualization of local stability of dynamical systems. In: Scateni, R., van Wijk, J.J., Zanarini, P. (eds) Visualization in Scientific Computing ’95. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-9425-6_10

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  • DOI: https://doi.org/10.1007/978-3-7091-9425-6_10

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82729-1

  • Online ISBN: 978-3-7091-9425-6

  • eBook Packages: Springer Book Archive

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