Abstract
The elementary physical theory of cluster dynamics is proposed. It is shown that cluster formation of dynamical processes in latticing structures lies within the framework of classic representations on a synchronization of dynamical systems. It is shown that any cluster structure is just a simple synchronization of certain number so-called cluster oscillators. The full set of types of cluster oscillators in onedimensional homogeneous chain and two-dimensional homogeneous lattice of elementary oscillators are established. The principles of coupling of C-oscillators in cluster structures and principles of their possible transformation are explained.
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