Objective The main goal of the project is to advance a new fundamental technique, which uses external nonlinearly synchronized forcing to control nonlinear systems with wave-like and vortical dynamics: the autoresonance approach. The approach is based on the idea of autoresonance (nonlinear synchronization, or phase locking) which dates back to McMillan and Veksler in 1945 in applications to particle accelerators and only recently has been applied to extended nonlinear systems. Autoresonance describes a natural tendency of certain perturbatively driven nonlinear systems to stay in resonance with a drive, even if the parameters of the system vary in time and/or space. The self-adjustment of the nonlinear state of the driven system in autoresonance allows manipulation of nonlinear oscillations in the system by slowly varying the driving parameters. In other words, the autoresonance allows to both excite and control a large resonant response in nonlinear systems by a small forcing. Our objectives are to develop and apply this approach in four areas of plasma and fluid dynamics, associated with the main Tasks:Task 1. Multiresonant control of nonlinear waves.Task 2. Autoresonant control of nonlinear waves in systems with linear wave instabilities and dissipation.Task 3. Control of vortex dynamics by nonlinear synchronization.Task 4. Control of the nonlinear wave turbulence.Our studies will be based on a number of models which belong to some of the most fundamental and sometimes paradigmatic models of non-linear physics, i.e. the Korteweg de Vries (KdV), nonlinear Schroedinger (NLS), Hasegawa-Mima (HM) and other equations. Thus, the achieved results will be applicable for a broad range of systems possessing similar dynamics and ranging from hydrodynamics to non-linear optics. All teams involved recently achieved significant complementary findings in the field, thus strengthening the foundation of our understanding of nonlinear resonant phenomena and further on to innovate the new technique for the active control of plasma dynamics. The latter opens up a possible way to understand, achieve and optimise control of plasma and fluid turbulence and the associated transport, an important issue not only from a fundamental, but also from a practical point of view. Programme(s) IC-INTAS - International Association for the promotion of cooperation with scientists from the independent states of the former Soviet Union (INTAS), 1993- Topic(s) OPEN - OPEN Call Call for proposal Data not available Funding Scheme Data not available Coordinator RISØ NATIONAL LABORATORY EU contribution No data Address FREDERIKSBORGVEJ, 399 ROSKILDE Denmark See on map Total cost No data Participants (6) Sort alphabetically Sort by EU Contribution Expand all Collapse all HEBREW UNIVERSITY OF JERUSALEM Israel EU contribution No data Address EDMOND SAFRA CAMPUS, GIVAT RAM JERUSALEM See on map Total cost No data Russian Academy of Sciences Institute of Applied Physics Russia EU contribution No data Address Uljanov street 46 603950 Nizhny Novgorod See on map Total cost No data Russian Academy of Sciences P.N.Lebedev Institute of Physics Russia EU contribution No data Address Lenin prospect 53 117924 Moscow See on map Total cost No data Sheffield University United Kingdom EU contribution No data Address Hounsfield Road S3 7RH Sheffield See on map Total cost No data Ufa Scientific Center of Russian Academy of Sciences Institute of Mathematics with computer center Russia EU contribution No data Address Chernyshevski 112 450077 Ufa See on map Total cost No data Urals Division of the Russian Academy of Sciences Institute of Metal Physics Russia EU contribution No data Address S.Kovalevskaya 18 620219 Ekaterinburg See on map Total cost No data
