Abstract
New types of forced and parametric vibrations of the fluid surface in a cylindrical tank due to interaction with a limited power-supply excitation mechanism (so-called "limited excitation" phenomena) are investigated in detail. On the basis of analysis of the largest Lyapunov exponents for a complex system—a tank with fluid and an excitation arrangement—the regions are determined for four steady-state regimes: stationary, periodic, almost-periodic and chaotic. Attention is concentrated mainly on the properties of chaotic attractors and schemes of transition from "order" to chaos. It is established that different scenarios of transition to chaos and various structures of chaotic attractors are possible in the same physical system. It is shown that some steady-state chaotic regimes can originate only due to interaction with the excitation mechanism.
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