Schedule Aug 25, 2006
Emergence and Control of Autoresonant Nonlinear Waves
Prof. Lazar Friedland, Hebrew University & KITP

Many extended physical systems are modelled by classical soliton equations (KdV, SG, NLS etc.), possessing, far from equilibrium, a variety of nontrivial solutions. The question of reaching and controlling a particular stable solution (excitation) in this solutions set is fundamental to many applications. One way of forming desired solutions is based on choosing proper, frequently nontrivial initial/boundary conditions. I will describe a different recent approach to formation of multiplicity of nonlinear excitations from trivial initial/boundary conditions based on capturing the system into resonance with external perturbations followed by a continuing self-synchronization (autoresonance) in space and/or time. The synchronization means excursion in system’s solutions space with possible emergence of a desired nontrivial state. Applications of this paradigm exist in vorticity dominated flows [1], plasmas [2], as well as in planetary dynamics [3], and molecular physics [4]. I will present main ideas of wave autoresonance and focus on autoresonant wave interactions in plasmas and new developments on formation and control of large amplitude multi-phase nonlinear waves.

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[01] [02] [03] [04] [05] [06] [07] [08] [09] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23]

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