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Computational synergetics

JUL 01, 1984
As a heuristic tool, used to explore complex dynamical behavior, computers allow us to discover unexpected linkages and new concepts in nonlinear systems.

DOI: 10.1063/1.2916319

Norman J. Zabusky

Computers, used in what I shall call the “heuristic mode,” can greatly enhance our understanding of the mathematics of nonlinear dynamical processes—a field that is taking on increasing importance as we explore the complex behavior that even simple systems often exhibit. As I shall try to show, computers allow us to penetrate into unexplored regions of mathematics and to discover unforeseen linkages among ideas.

References

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  18. 18. N. J. Zabusky, M. H. Hughes, K. V. Roberts, J. Comput. Phys. 30, 96 (1979). https://doi.org/JCTPAH
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  21. 21. Figure 5 on supersonic jets and the cover figure have not been previously published and were provided by M. L. Norman, K.‐H. A. Winkler, and L. L. Smarr. A review of their work with 30 colored panels is in L. L. Smarr, M. L. Norman, K.‐H. A. Winkler, Physica D (1984), in press. Figure 6 is from work in progress by Norman, Winkler and Zabusky.

  22. 22. For some vital thoughts on how things could be improved, see P. J. Davis, J. A. Anderson, SIAM Rev. 21, 112 (1979).https://doi.org/SIREAD

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  24. 24. C. J. Jung, W. Pauli, The Interpretation of Nature and the Psyche, Pantheon, New York (1955), page 151.

More about the Authors

Norman J. Zabusky. University of Pittsburgh.

This Content Appeared In
pt-cover_1984_07.jpeg

Volume 37, Number 7

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