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 journalArticle

3 Citations (Scopus)
137 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 languageEnglish
Pages (from-to)503-518
Number of pages16
JournalDynamical Systems: An International Journal
Volume26
Issue number4
DOIs
Publication statusPublished - Dec 2011

Fingerprint Dive into the research topics of 'Persistence of supersonic periodic solutions for chains with anharmonic interaction potentials between neighbours and next to nearest neighbours'. Together they form a unique fingerprint.

Cite this