The phase plane of moving discrete breathers

Details The phase plane of moving discrete breathers The phase plane of moving discrete breathers

1997-04-14

arxiv.org/abs/cond-mat/9704118v1

Phys. Rev. E 56, 3657-3660 (1997)

Physics

Condensed Matter

8 pages text, 4 figures, submitted to Physical Review Letters. See http://www.msc.cornell.edu/~houle/localization/

Scientific paper

10.1103/PhysRevE.56.3657

We study anharmonic localization in a periodic five atom chain with quadratic-quartic spring potential. We use discrete symmetries to eliminate the degeneracies of the harmonic chain and easily find periodic orbits. We apply linear stability analysis to measure the frequency of phonon-like disturbances in the presence of breathers and to analyze the instabilities of breathers. We visualize the phase plane of breather motion directly and develop a technique for exciting pinned and moving breathers. We observe long-lived breathers that move chaotically and a global transition to chaos that prevents forming moving breathers at high energies.

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