{"id":18919007,"url":"https://github.com/exp98/computer-modeling-of-dynamical-systems","last_synced_at":"2026-03-12T11:30:20.526Z","repository":{"id":227038055,"uuid":"323357920","full_name":"ExP98/Computer-Modeling-of-Dynamical-Systems","owner":"ExP98","description":"Практические задания по дисциплине \"Компьютерное моделирование динамических систем\", 1 курс магистратуры, Матмех, СПбГУ ","archived":false,"fork":false,"pushed_at":"2022-06-06T01:41:08.000Z","size":4511,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":2,"default_branch":"main","last_synced_at":"2024-12-31T15:54:46.006Z","etag":null,"topics":["dynamical-systems"],"latest_commit_sha":null,"homepage":"","language":"Jupyter Notebook","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"apache-2.0","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/ExP98.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null}},"created_at":"2020-12-21T14:22:36.000Z","updated_at":"2021-11-05T06:21:21.000Z","dependencies_parsed_at":"2024-03-11T10:04:17.681Z","dependency_job_id":null,"html_url":"https://github.com/ExP98/Computer-Modeling-of-Dynamical-Systems","commit_stats":null,"previous_names":["exp98/computer-modeling-of-dynamical-systems"],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ExP98%2FComputer-Modeling-of-Dynamical-Systems","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ExP98%2FComputer-Modeling-of-Dynamical-Systems/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ExP98%2FComputer-Modeling-of-Dynamical-Systems/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ExP98%2FComputer-Modeling-of-Dynamical-Systems/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/ExP98","download_url":"https://codeload.github.com/ExP98/Computer-Modeling-of-Dynamical-Systems/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":239914943,"owners_count":19717760,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["dynamical-systems"],"created_at":"2024-11-08T10:34:37.379Z","updated_at":"2026-03-12T11:30:20.468Z","avatar_url":"https://github.com/ExP98.png","language":"Jupyter Notebook","funding_links":[],"categories":[],"sub_categories":[],"readme":"### Компьютерное моделирование динамических систем\n#### Ампилова Н.Б.\nВыполнил ***Глушков Егор***, 1 курс магистратуры по направлению МОАИС, МатМех, СПбГУ.\n\n1\\.  Построить приближения к инвариантным множествам отображения методом обратных итераций ![изображение](https://user-images.githubusercontent.com/33428131/129374551-43fd3f73-237a-4dcb-92e7-d411d0348df5.png)\n\n2*\\.  Найти неподвижные точки отображения ![изображение](https://user-images.githubusercontent.com/33428131/129374729-db559b07-8ee7-4807-94e6-accb26ecbfba.png) и определить тип их устойчивости в предположении, что ![изображение](https://user-images.githubusercontent.com/33428131/129376188-a8cc0c71-b21d-43cd-a31d-0deef0441361.png)![изображение](https://user-images.githubusercontent.com/33428131/129406616-0b091bc5-a5e8-4a62-bcd6-26f53d5596d2.png)\n![изображение](https://user-images.githubusercontent.com/33428131/129406624-1f7353ae-1fd5-4dab-bdb9-a5e7c7d95fae.png)\n![изображение](https://user-images.githubusercontent.com/33428131/129406640-a58f65e0-8705-4ae7-9fdb-9b11de1074da.png)\n (точка 0 является параболической неподвижной точкой). Найти цикл периода 2. Построить приближение к инвариантному множеству\n\n3\\.  Построить множество Мандельброта для отображения ![изображение](https://user-images.githubusercontent.com/33428131/129406650-d4228f9e-8be0-45a6-8a83-64673387ad75.png)\n\n4\\.  Построить приближения к инвариантному множеству дискретной системы 2 порядка методом итераций отрезка (отображения можно брать из списка программы WInSet)\n\n5\\.  Найти приближения к периодическим орбитам функции Ньютона для функции\n![изображение](https://user-images.githubusercontent.com/33428131/129406743-c41be47e-7834-49d2-b5e8-69e45a42ab8f.png) для значений параметра:\n-   *A = 0.310 + 1.620i (период 2)*\n-   *A = 0.275 + 1.650i (период 4)*\n\n6\\.  Реализовать модель логистической решетки\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fexp98%2Fcomputer-modeling-of-dynamical-systems","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fexp98%2Fcomputer-modeling-of-dynamical-systems","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fexp98%2Fcomputer-modeling-of-dynamical-systems/lists"}