Hidden and rare attractors in unideal electro-elastic systems

• Date: 2020
• Author Affiliations: О.Ю. Швець — IM Department 04; С.В. Донецький
• Keywords: keywords
• Main Authors: Shvets, O.Yu., Donetskii, S.V., Швец, О.Ю., Донецкий, С.В., Швець, О.Ю., Донецький, С.В.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2020
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/421
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

An unideal, after Sommerfeld–Kononenko, dynamic system “piezo ceramic transducer – LC–generator” is considered. Hidden and rare attractors of the system are constructed. A untypical regularity of alternation of scenarios of transition to chaos in such systems is described.