Abstract
The dynamics of three coupled chaotic Rössler systems is considered. We discuss scenarios for the evolution of different types of regimes. The possibility of two- and three-frequency quasi-periodicity is shown. We considered the occurrence of resonanses on three-frequency torus, which leads to two-freqiency quasi-periodic regimes. The illustrations in the form of charts of the Lyapunov exponents, phase portraits of attractors plotted in the Poincare section and bifurcation diagrams are presented. We discuss the type of quasi-periodic bifurcation in the system.
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Kuznetsov, A.P., Sedova, Y.V., Turukina, L.V. (2014). Quasi-periodic Oscillations in the System of Three Chaotic Oscillators. In: Mladenov, V.M., Ivanov, P.C. (eds) Nonlinear Dynamics of Electronic Systems. NDES 2014. Communications in Computer and Information Science, vol 438. Springer, Cham. https://doi.org/10.1007/978-3-319-08672-9_2
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DOI: https://doi.org/10.1007/978-3-319-08672-9_2
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-08671-2
Online ISBN: 978-3-319-08672-9
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