Mariya Strekopytova

Teoriya Ravnovesnykh Dvizheniy Mariya Strekopytova Russian edition

V nastoyashchey monografii rassmotreno povedenie zaryazhennykh chastits v zadannom pole skorostey. Stroyatsya silovye polya, kotorye vyzyvayut rassmatrivaemye dvizheniya. Eti silovye polya mogut byt' magnitnymi, elektricheskimi ili elektromagnitnymi. Daetsya kachestvennoe opisanie povedeniya traektoriy lineynoy sistemy vtorogo poryadka s postoyannymi koeffitsientami. Provoditsya kachestvennyy analiz ravnovesnykh traektoriy v trekhmernom prostranstve. Izlagayutsya analiticheskie printsipy upravleniya dvizheniem zaryazhennykh chastits. A takzhe rassmatrivaetsya ustoychivost' rezhimov takogo tipa, kotorye nazvany raschetnymi dvizheniyami. Vvodyatsya ponyatiya:raschetnoy ustoychivosti, vklyuchayushchee ustoychivost' po Lyapunovu kak osobyy sluchay, sootvetstvuyushchiy tomu obstoyatel'stvu, chto upomyanutyy zhelaemyy rezhim yavlyaetsya tochnym resheniem rassmatrivaemoy sistemy; asimptoticheskoy raschetnoy ustoychivosti i raschetnoy neustoychivosti, yavlyayushchikhsya analogami sootvetstvuyushchikh ponyatiy teorii ustoychivosti po Lyapunovu. Privodyatsya ikh dostatochnye, a takzhe neobkhodimye i dostatochnye usloviya dlya zadannogo rezhima otnositel'no resheniy issleduemoy sistemy. Nastoyashchaya kniga prednaznachena dlya aspirantov i studentov, obuchayushchikhsya po spetsial'nosti prikladnaya matematika.