English version
ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Дифференциальные Уравнения
и
Процессы Управления

О журнале История Журнала Издатель Адреса Тематика Редакторский состав Рецензирование Для авторов Издательская этика Коллекция номеров English version

Визуализация четырех предельных циклов двумерных квадратичных систем в пространстве параметров

Автор(ы):

Г. А. Леонов

Профессор Санкт-Петербургского Государственного Университета
Математико-Механический Факультет
Россия, Санкт-Петербург, Петродворец,
Университетский пр., д. 28, 198504

leonov@math.spbu.ru

Ирина Герасимовна Бурова

Профессор кафедры Вычислительной математики, д. ф.-м. н., профессор
СПбГУ, Математико-механический факультет,
Старый Петергоф, Университетский пр., 28;
Санкт-Петербург, Россия, 198504

burovaig@mail.ru

Константин Дмитриевич Александров

СПбГУ, Математико-механический факультет,
Старый Петергоф, Университетский пр., 28;
Санкт-Петербург, Россия, 198504

Konstantin.239.Alexandrov@gmail.com

Аннотация:

Данная работа посвящена визуализации областей, содержащих четыре предельных цикла для квадратичных динамических систем дифференциальных уравнений первого порядка с вещественными коэффициентами. Визуализация области производится в трехмерном пространстве коэффициентов нелинейной части квадратичной системы. Обсуждаются теоретические и практические аспекты численного решения задачи Коши для неустойчивых систем.

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