Numerical model of traveling wave electrophoresis is constructed for a simplified system comprising one continuous electrode and complex system comprising an array of discrete electrodes. It appears that different attractors can coexist in the simplified system—one equilibrium point corresponding to motion with the velocity of the propagating wave and a limit cycle corresponding to slow oscillatory transportation of the charged particle. Coexistence of different attractors builds ground for motion control strategies which can increase the effectiveness of electrophoresis.

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