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 |
| Creators | Venney, C.and Zimmer, J. |
| DOI | 10.1080/14689367.2011.620565 |
| Departments | Faculty of Science > Mathematical Sciences |
| Publisher Statement | Zimmer_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# |
| Refereed | Yes |
| Status | Published |
| ID Code | 27637 |
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