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Field Induced Resonance and Chaos in Nonlinear Conservative Systems

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Nonlinear Electrodynamics in Biological Systems
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Abstract

Two models are discussed which show how dynamic external fields can induce internal chaos and enhance dissociation in nonlinear conservative systems.

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References

  1. D.J. Kaup and A.C. Newell, Prod. R. Soc. Lond. A361, 413 (1978).

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  2. A partial list of references to exact solutions includes: N.G. van Kampen, J. Stat. Phys. 17, 71 (1977); L.E. Reichl, J. Chem. Phys. 77, 4199 (1982); M.O. Hongler and W.M. Zheng, J. Stat. Phys, 29, 317 (1982).

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  3. L.E. Reichl, R. de Fainchtein, T. Petrosky and W.M. Zheng, “Field Induced Chaos in the Toda Lattice” (Physical Review, in press).

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  4. R. de Fainchtein and L.E. Reichl, “Resonance Behavior of the Perturbed Toda Lattice,” in Statistical Physics and Chaos in Fusion Plasmas, eds. C.W. Horton and L.E. Reichl (John Wiley and Sons, New York, in press).

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  5. L.E. Reichl and W.M. Zheng, “Renormalization Group Study of a Perturbed Bistable System” (Center for Statistical Mechanics, preprint).

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  6. J. Dancz and S. Rice, J. Chem. Phys. 67, 1418 (1977).

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  7. J. P. Keener and D.W. McLaughlin, Phys. Rev. A16, 777 (1977).

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© 1984 Plenum Press, New York

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Reichl, L.E. (1984). Field Induced Resonance and Chaos in Nonlinear Conservative Systems. 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_27

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  • DOI: https://doi.org/10.1007/978-1-4613-2789-9_27

  • 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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