Посилання:Routes to chaos through the interaction of high- and low-frequency oscillations / D.V. Shygimaga, D.M. Vavriv // Вопросы атомной науки и техники. — 2001. — № 6. — С. 223-225. — Бібліогр.: 6 назв. — англ.
Підтримка:The authors are indebted to V.V. Vinogradov for his contributions to this work. The work was partially supported by EC under Contract IC15CT980509.
Roads to chaos for systems with the interaction of high- and low-frequency oscillations are considered. Results are presented for quisi-periodically forced Duffing and Van-der-Pole oscillators and a two-mode system driven by a harmonic force. The focus is made on the conditions for chaos under weak nonlinearity of the system.