{"title":"李亚普诺夫的无扰动运动的稳定性","authors":"Natalia Neagu, M. Popa","doi":"10.36120/2587-3644.v12i2.74-81","DOIUrl":null,"url":null,"abstract":"There were obtained the conditions of stability after Lyapunov of the unper-turbed motion for the system S3 (1,3) in the non-critical case. It was constructed the Lyapunov series for the ternary differential system S3 (1,3) of Darboux type in the critical case and determined the conditions of stability of the unperturbed motion governed by this system.","PeriodicalId":340784,"journal":{"name":"Acta et commentationes: Ştiinţe Exacte şi ale Naturii","volume":"38 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Lyapunov’s stability of the unperturbed motion governed bythe\",\"authors\":\"Natalia Neagu, M. Popa\",\"doi\":\"10.36120/2587-3644.v12i2.74-81\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"There were obtained the conditions of stability after Lyapunov of the unper-turbed motion for the system S3 (1,3) in the non-critical case. It was constructed the Lyapunov series for the ternary differential system S3 (1,3) of Darboux type in the critical case and determined the conditions of stability of the unperturbed motion governed by this system.\",\"PeriodicalId\":340784,\"journal\":{\"name\":\"Acta et commentationes: Ştiinţe Exacte şi ale Naturii\",\"volume\":\"38 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta et commentationes: Ştiinţe Exacte şi ale Naturii\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.36120/2587-3644.v12i2.74-81\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta et commentationes: Ştiinţe Exacte şi ale Naturii","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36120/2587-3644.v12i2.74-81","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Lyapunov’s stability of the unperturbed motion governed bythe
There were obtained the conditions of stability after Lyapunov of the unper-turbed motion for the system S3 (1,3) in the non-critical case. It was constructed the Lyapunov series for the ternary differential system S3 (1,3) of Darboux type in the critical case and determined the conditions of stability of the unperturbed motion governed by this system.
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