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

Christine Venney; Johannes Zimmer

doi:10.1080/14689367.2011.620565

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

Christine Venney, Johannes Zimmer

Research output: Contribution to journal › Article › peer-review

5 Citations (SciVal)

203 Downloads (Pure)

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.

Original language	English
Pages (from-to)	503-518
Number of pages	16
Journal	Dynamical Systems: An International Journal
Volume	26
Issue number	4
DOIs	https://doi.org/10.1080/14689367.2011.620565
Publication status	Published - Dec 2011

Access to Document

10.1080/14689367.2011.620565

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#
Accepted author manuscript, 1.91 MB

Cite this

@article{fafad44e87ea4c7f9c5cefc7412ca15f,

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

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.",

author = "Christine Venney and Johannes Zimmer",

year = "2011",

month = dec,

doi = "10.1080/14689367.2011.620565",

language = "English",

volume = "26",

pages = "503--518",

journal = "Dynamical Systems: An International Journal",

issn = "1468-9367",

publisher = "Taylor and Francis",

number = "4",

}

TY - JOUR

T1 - Persistence of supersonic periodic solutions for chains with anharmonic interaction potentials between neighbours and next to nearest neighbours

AU - Venney, Christine

AU - Zimmer, Johannes

PY - 2011/12

Y1 - 2011/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84860656322&partnerID=8YFLogxK

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

U2 - 10.1080/14689367.2011.620565

DO - 10.1080/14689367.2011.620565

M3 - Article

SN - 1468-9367

VL - 26

SP - 503

EP - 518

JO - Dynamical Systems: An International Journal

JF - Dynamical Systems: An International Journal

IS - 4

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Analysis of Multic-Scale Problems in Mathematical Chemistry

Mathematical Challenges of Molecular Dynamics: A Chemo-Mathematical Forum

Cite this

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

Abstract

Access to Document

Other files and links

Fingerprint

Projects

Analysis of Multic-Scale Problems in Mathematical Chemistry

Mathematical Challenges of Molecular Dynamics: A Chemo-Mathematical Forum

Cite this