Journal
NONLINEARITY
Volume 24, Issue 1, Pages 293-317Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0951-7715/24/1/015
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We consider discrete breathers in one-dimensional diatomic Fermi-Pasta-Ulam type lattices. A discrete breather in the limit of zero mass ratio, i.e. the anti-continuous limit, consists of a finite number of in-phase or anti-phase excited light particles, separated by particles at rest. The existence of discrete breathers is proved for small mass ratio by continuation from the anti-continuous limit. We prove that the discrete breathers are all unstable near the anti-continuous limit, except for those continued from solutions consisting of alternating anti-phase excited particles.
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