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Snaking and isolas of localised states in bistable discrete lattices
homoclinic snaking dissipative soliton coupled cells
2010/11/10
We consider localised states in a discrete bistable Allen-Cahn equation. This model equation combines bistability and local cell-to-cell coupling in the simplest possible way. The existence of stable ...
One Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems
One Parameter Scaling Disordered Nonlinear Systems Stationary States
2010/4/6
We show, using detailed numerical analysis and theoretical arguments, that the normalized participation number of the stationary solutions of disordered nonlinear lattices obeys a one-parameter scalin...