Visual Study for Toplogical Transitions of Vector Fields

  • S. Shirayama
Conference paper

Summary

This paper describes several methods of visualizing the vector fields in a flow analysis. A class of computational algorithms determining the structure of vector fields is stated. It is assumed that the visualized results in the vector fields are classified according to certain kinds of expressions for the solution of the following ordinary differential equation:
$$\frac{{d{\text{x}}}}{{d{\text{s}}}} = {\text{u}}\,\,or\,\,\omega.$$

We pursue the characteristic feature of the equation by expanding around a critical point, and study the topological transitions of vector fields.

Keywords

Incompressibility 

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References

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    J. Guckerheimer and Ph. Holmes, Non-linear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, (Springer Verlag, New York, 1983)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • S. Shirayama
    • 1
  1. 1.SofTek Systems, Inc.Setagaya-ku, Tokyo, 154Japan

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