"0"^^ . "1"^^ . "http://www.isvav.cz/projectDetail.do?rowId=IAA2071401"^^ . . . . " Movement stability" . " Stochastic mechanics" . . "0"^^ . "IAA2071401" . . . . "The aim is to elaborate the unified theory of stochastic stability of non-linear Hamiltonian systems with non-conservative, gyroscopic and more general non-symmetric links. The project is motivated by problems of dynamic systems interaction with moving environment (fluid, imperfect track, etc.) influenced by induced random noises. General classification of singular points respecting their repulsive/attractive character, properties of stability boundary, postcritical restabilisation and break through energetic barriers will be investigated. Hopf bifurcations influenced by random noises will be studied (bifurcation appearance/vanishing, autoparametric resonance). Analysis of stochastic non-symmetry influencing parametric random excitation will be done. Theoretical investigation will be widely verified experimentally. General results will be used to give a complex analysis of aeroelastic stability of slender systems and stability analysis of high-speed vehicle moving on imperfect track."@en . . "Dynamics of systems; Stochastic mechanics; Movement stability; Nonconservative and gyroscopic systems; Interaction of systems with moving environment"@en . "Dynamics of systems" . . " Nonconservative and gyroscopic systems" . . . "2009-07-02+02:00"^^ . "T\u011B\u017Ei\u0161t\u011Bm je propracovat jednotnou teorii stochastick\u00E9 stability pohybu neline\u00E1rn\u00EDch hamiltonovsk\u00FDch soustav s nekonzervativn\u00EDmi, gyroskopick\u00FDmi a obecn\u011Bj\u0161\u00EDmi nesymetrick\u00FDmi vazbami. Motivac\u00ED jsou \u00FAlohy interakce pru\u017En\u00FDch soustav s pohybuj\u00EDc\u00EDm se prost\u0159ed\u00EDm za p\u0159\u00EDtomnosti aditivn\u00EDch a multiplikativn\u00EDch poruch. Zpracuje se klasifikace singul\u00E1rn\u00EDch bod\u016F podle repulzity/atraktivity a hranic oblast\u00ED stability z hlediska postkritick\u00E9ho chov\u00E1n\u00ED soustavy, mo\u017En\u00E9 postkritick\u00E9 restabilizace, p\u0159ekon\u00E1n\u00ED energetick\u00FDch bari\u00E9r, atd. Pozornost se v\u011Bnuje Hopfov\u00FDm bifurkac\u00EDm v souvislosti s n\u00E1hordn\u00FDmi \u0161umy (vznik a z\u00E1nik bifurkac\u00ED, automapametrick\u00E9 rezonance, atd.). Provede se rozbor vlivu stochastick\u00E9 nesymetrie p\u0159i parametrick\u00E9m buzen\u00ED. Teorie bude ov\u011B\u0159ov\u00E1na experiment\u00E1ln\u011B v dynamick\u00E9 zku\u0161ebn\u011B a dal\u0161\u00EDch laborato\u0159\u00EDch. V\u00FDsledky budou ilustrov\u00E1ny na komplexn\u00ED anal\u00FDze aeroelastick\u00E9 stability \u0161t\u00EDhl\u00FDch konstrukc\u00ED a stabilit\u011B vysokorychlostn\u00EDho pohybu vozidla po imperfektn\u00ED poddajn\u00E9 dr\u00E1ze." . . "2008-12-31+01:00"^^ . . . "2004-01-01+01:00"^^ . . "2008-02-21+01:00"^^ . "The theory of stochastic stability of Hamiltonian systems with applications to non-conservative & gyroscopic systems modelling of elastic systems interaction with moving environment influenced by additive & multiplicative random noises was developped."@en . . "Probl\u00E9my stability stochastick\u00FDch dynamick\u00FDch soustav" . "44"^^ . "Vypracov\u00E1na teorie stochastick\u00E9 stability hamiltonovsk\u00FDch soustav s aplikacemi na nekonzervativn\u00ED a gyroskopick\u00E9 soustavy typick\u00E9 pro \u00FAlohy interakce pru\u017En\u00FDch soustav s pohybuj\u00EDc\u00EDm se prost\u0159ed\u00EDm za vlivu aditivn\u00EDch a multiplikativn\u00EDch n\u00E1hodn\u00FDch poruch."@cs . . . "44"^^ . . . "Stability problems of stochastic dynamic systems"@en .