caa a22 4500 445391413 CHVBK 20180317143047.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s10955-011-0289-5 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0289-5 On Perturbations of Generalized Landau-Lifshitz Dynamics [Elektronische Daten] [Mark Freidlin, Wenqing Hu] We consider deterministic and stochastic perturbations of dynamical systems with conservation laws in ℝ3. The Landau-Lifshitz equation for the magnetization dynamics in ferromagnetics is a special case of our system. The averaging principle is a natural tool in such problems. But bifurcations in the set of invariant measures lead to essential modification in classical averaging. The limiting slow motion in this case, in general, is a stochastic process even if pure deterministic perturbations of a deterministic system are considered. The stochasticity is a result of instabilities in the non-perturbed system as well as of existence of ergodic sets of a positive measure. We effectively describe the limiting slow motion. Springer Science+Business Media, LLC, 2011 Magnetization dynamics nationallicence Landau-Lifshitz equation nationallicence Averaging principle nationallicence Stochasticity in deterministic systems nationallicence Freidlin Mark Department of Mathematics, University of Maryland at College Park, College Park, USA aut Hu Wenqing Department of Mathematics, University of Maryland at College Park, College Park, USA aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/5(2011-09-01), 978-1008 0022-4715 144:5<978 2011 144 10955 https://doi.org/10.1007/s10955-011-0289-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0289-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Freidlin Mark Department of Mathematics, University of Maryland at College Park, College Park, USA aut NATIONALLICENCE 700 1- Hu Wenqing Department of Mathematics, University of Maryland at College Park, College Park, USA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/5(2011-09-01), 978-1008 0022-4715 144:5<978 2011 144 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer