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Blue sky catastrophes in weakly coupled chains of reversible oscillators
Countable many weakly coupled reversible oscillators are
investigated. Homoclinic structures are assumed for the
anti-integrable limit equations. The existence of infinitely many
homoclinic solutions is shown for the chains of perturbed
oscillators and each of the homoclinic solutions is accumulated by
continuum many breathers with periods tending to infinity. A
similar result is shown for the case when heteroclinic loop
structures are assumed for the anti-integrable limit equations.
Applications are given to several models.