Noise influence on dissipative solitons in a chain of active particles

The dynamics of a chain of interacting active particles of Rayleigh-type is studied in presence of noise. Particles are interconnected via Morse potential forces. In the noiseless scenario, the steady-state modes (attractors) of the chain with periodic boundary conditions look like cnoidal waves with uniform distribution of the particles density maxima along the chain. The distribution of modes probabilities shifts from one with prevailing cnoidal waves to one with prevailing optical mode under noise influence. We propose an analytical approach modelling the noise effect in good agreement with the numerical simulation.