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We consider odd symmetric (1+1)-scalar field models with one internal mode.Under natural and robust assumptions, including the Fermi golden rule, we provethe asymptotic stability of the kink by odd perturbations in the energy space.For example, the result applies to the $\phi^4$ model with odd symmetry andsome of its perturbations.

Kink dynamics under odd perturbations for (1+1)-scalar field models with one internal mode