![]() ![]() Nonlinear oscillations, chaos control and synchronizationįundamental problems of nonlinear dynamics are still the focus of intense research activities worldwide. In particular, the study of nonlinear and chaotic oscillations naturally find applications in a wide variety of scientific and technological poblems. As far as coupled nonlinear systems are concerned, it was thought for a long time that the natural extension of chaos in spatially coupled oscillators is spatiotemporal chaos, that is, a state of simultaneous chaos in the spatial and temporal domains. However, phenomena of self-organization and spatial coherence have effectively been observed in coupled chaotic oscillators, and have triggered off a tremendous interest for the study of their spatiotemporal dynamics. ![]() Applications rapidly appeared to be wide: pattern formation modeling, coherent collective behavior in nonlinear physical, biological and ecological systems, oscillatory chemical processes, extended neuronal networks, etc. For a number of oscillators restricted to two, emphasis is commonly laid upon the state of synchronization, which occurs when the two identical oscillators continuously remain in step with each other. ![]() The figure displays the hysteritic behavior of an electrostatic transducer (after ref. The lines represent the analytical solutions (thin for stable nonlinear oscillations, thick for unstable), while the symbols stand for the numerical simulations. Other early works on this topic include refs. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |