DISSIPATIVE PROCESSES AT PHASE SYNCHRONIZATION IN THE NONLINEAR OSCILLATORS’ LATTICE AND HEAT EMISSION AT THE PREMELTING STAGE

Investigation of phase synchronization in chaotic systems is one of the most important achievements in the nonlinear dynamics. At present there is a series of research devoted to study of phase synchronization in model as well as real systems [1-2]. Special methods of phase synchronization mode identification have been worked out [3]; necessary conditions for onset of synchronization effect in the nonlinear dynamic systems have been detected [4]; a phenomenon of synchronous clusters formation in spatially distributed nonlinear systems has been found out. At the same time the energy effects accompanying nonlinear system transition into a synchronized condition are left outside the research area in most studies. On the other hand, being one of the primary self-organization mechanisms, chaotic synchronization can help to find explanation for such experimentally observed energy dissipation effects as heat emission at the premelting stage [5]. The approach examining the synchronization phenomena in condensed matter turned out to be very productive when explaining the collective effects in crystalline lattice dynamics [2]. However, most studies basically consider the synchronization of different branches of phonon oscillations and its influence on crystalline lattice stability, but they do not touch upon energy dissipation issues. Therefore, investigation of energy redistribution processes in the nonlinear dynamic systems in the chaotic synchronization conditions is a task of current importance.