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Persistence of supersonic periodic solutions for chains with anharmonic interaction potentials between neighbours and next to nearest neighbours


Reference:

Venney, C. and Zimmer, J., 2011. Persistence of supersonic periodic solutions for chains with anharmonic interaction potentials between neighbours and next to nearest neighbours. Dynamical Systems: An International Journal, 26 (4), pp. 503-518.

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    Official URL:

    http://dx.doi.org/10.1080/14689367.2011.620565

    Abstract

    We consider an infinite chain of particles with nearest neighbour (NN) and next to nearest neighbour (NNN) being coupled by nonlinear springs. To mimic the Lennard–Jones potential, the NN and NNN springs act against each other. We prove that in contrast to the NN interaction case, there are supersonic periodic solutions.

    Details

    Item Type Articles
    CreatorsVenney, C.and Zimmer, J.
    DOI10.1080/14689367.2011.620565
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher StatementZimmer_DynamicalSystems_2011_26_4_503.pdf: This is an electronic version of an article published in Venney, C. and Zimmer, J., 2011. Persistence of supersonic periodic solutions for chains with anharmonic interaction potentials between neighbours and next to nearest neighbours. Dynamical Systems: An International Journal, 26 (4), pp. 503-518. Dynamical Systems is available online at: http://www.tandfonline.com/doi/abs/10.1080/14689367.2011.620565#
    RefereedYes
    StatusPublished
    ID Code27637

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