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Nonlinear Systems. Part II

In: Nonlinear Physics with Mathematica for Scientists and Engineers

Author

Listed:
  • Richard H. Enns

    (Simon Fraser University, Department of Physics)

  • George C. McGuire

    (University College of the Fraser Valley, Department of Physics)

Abstract

Patterns pervade the world of nature as well as the world of the intellect. In the biological realm we are quite familiar with the stripes on a zebra, the spots on a leopard, and the colorful markings of certain birds, fish, and butterflies. In the physical world we may have noticed the pretty fringe patterns which occur when thin films of oil spread on a road surface or the wonderful shapes that ice crystals can assume when trees are coated after an ice storm. If we go into a wallpaper shop, we can be overwhelmed by the wide variety of patterns available, the patterns created by someone’s artistic imagination. If we talk to a scientist we will soon find that his or her goal in life is usually to discover (impose?) some underlying pattern to the phenomena under investigation and then attempt to mathematically model that pattern. In this section, we shall look at some attempts to understand or create patterns through the use of nonlinear modeling and concepts. Our first example is from the world of chemistry.

Suggested Citation

  • Richard H. Enns & George C. McGuire, 2004. "Nonlinear Systems. Part II," Springer Books, in: Nonlinear Physics with Mathematica for Scientists and Engineers, chapter 0, pages 81-124, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0211-0_3
    DOI: 10.1007/978-1-4612-0211-0_3
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