Vassilis Koukouloyannis and Robert S MacKay 2005 J. Phys. A: Math. Gen. 38 1021 doi:10.1088/0305-4470/38/5/004
Existence and stability of 3-site breathers in a triangular lattice
Vassilis Koukouloyannis1 and Robert S MacKay2
Show affiliationsWe find conditions for existence and stability of various types of discrete breather concentrated around three central sites in a triangular lattice of one-dimensional Hamiltonian oscillators with on-site potential and nearest-neighbour coupling. In particular, we confirm that it can support non-reversible breather solutions, despite the time-reversible character of the system. They carry a net energy flux and can be called 'vortex breathers'. We prove that there are parameter regions for which they are linearly stable, for example in a lattice consisting of coupled Morse oscillators, whereas the related reversible breathers are unstable. Thus non-reversible breathers can be physically relevant.
- PACS
- MSC
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82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
- Subjects
- Dates
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Issue 5 (4 February 2005)
Received 15 September 2004, in final form 1 December 2004
Published 19 January 2005
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Existence and stability of 3-site breathers in a triangular lattice
Vassilis Koukouloyannis and Robert S MacKay 2005 J. Phys. A: Math. Gen. 38 1021
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