# Forced translational symmetry-breaking for abstract evolution equations: the organizing center for blocking of travelling waves

@article{LeBlanc2011ForcedTS, title={Forced translational symmetry-breaking for abstract evolution equations: the organizing center for blocking of travelling waves}, author={Victor G. LeBlanc and Christian Roy}, journal={arXiv: Dynamical Systems}, year={2011} }

We consider two parameter families of differential equations on a Banach space X, where the parameters c and $\epsilon$ are such that: (1) when $\epsilon=0$, the differential equations are symmetric under the action of the group of one-dimensional translations SE(1) acting on X, whereas when $\epsilon\neq 0$, this translation symmetry is broken, (2) when $\epsilon=0$, the symmetric differential equations admit a smooth family of relative equilibria (travelling waves) parametrized by the drift…

## 4 Citations

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Mathematical models displaying travelling waves appear in a variety of domains. These waves are often faced with different kinds of perturbations. In some cases, these perturbations result in…

### Wave Blocking Phenomena and Ecological Applications

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