Propagation failure, universal scalings and Goldstone modes

Abstract In a recent paper, Kladko et al. (Phys. Rev. Lett. 84 (2000) 4505) studied front propagation failure in lattices of nonlinear diffusively coupled cells. This phenomenon is revisited here and associated with a saddle-node infinite period bifurcation. The results are used to compare existing theories on Goldstone modes and Peierls–Nabarro barriers for parabolic and hyperbolic systems.

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