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Synchronization of local oscillators in the Lattice Lotka-Volterra Model due to long range mixing

Alexey Shabunin, Anton Efimov
We study a simple stochastic cellular model of Lattice Lotka-Volterra class driven by particular external forces. To simulate the system dynamics we perform Kinetic Monte Carlo simulation. We demonstrate the spatial synchronization phenomenon of local oscillators and a global oscillations appearance (the Hopf bifurcation). The extent of the external influence was chosen as a control parameter of the system.
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