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Diverse Applications

In: Chaos

Author

Listed:
  • Andrew Fowler

    (University of Limerick, MACSI)

  • Mark McGuinness

    (Victoria University of Wellington, School of Mathematics and Statistics)

Abstract

The final chapter assembles a miscellany of applications, starting with various methods of data analysis, including statistical methods, phase space embedding and Lyapunov exponents. This leads to an extended discussion of fractals, including sections on Julia sets and the Mandelbrot set. The final part of the chapter revisits the relation of chaos to turbulence, and gives a lengthy description of the onset of turbulence in shear flows, and its possible relation to homoclinic bifurcations in partial differential equations.

Suggested Citation

  • Andrew Fowler & Mark McGuinness, 2019. "Diverse Applications," Springer Books, in: Chaos, chapter 0, pages 207-269, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-32538-1_6
    DOI: 10.1007/978-3-030-32538-1_6
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