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Solitary Waves as Fixed Points of Infinite Dimensional Maps

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Nonlinear Electrodynamics in Biological Systems

Abstract

Coherent structures which are localized in space arise and play important roles in turbulent fields. Examples include tornados, large vortices in a turbulent wake, and isolated vortices in the ocean. These coherent effects are cetainly observed in nature. They can be simulated in numerical experiments and to a lesser extent in laboratory experiments. To understand such coherent phenomena analytically one must use nonlinear techniques from modern mathematics, and indeed one must extend and improve these techniques considerably.

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References

  1. David W. McLaughlin, Solitary waves with dispersion and dissipation in: “Structure and Dynamics: Nucleic Acids and Proteins,” E. Clementi and R.H. Sarma, ed., Adenine Press, New York (1983).

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© 1984 Plenum Press, New York

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McLaughlin, D.W., Moloney, J.V., Newell, A.C. (1984). Solitary Waves as Fixed Points of Infinite Dimensional Maps. In: Adey, W.R., Lawrence, A.F. (eds) Nonlinear Electrodynamics in Biological Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2789-9_28

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  • DOI: https://doi.org/10.1007/978-1-4613-2789-9_28

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-9720-8

  • Online ISBN: 978-1-4613-2789-9

  • eBook Packages: Springer Book Archive

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