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- W2798804959 abstract "A mathematical model of autoresonance in nonlinear systems with combined parametric and external chirped frequency excitation is considered. Solutions with a growing amplitude and a bounded phase mismatch are associated with the autoresonant capture. By applying Lyapunov function method we investigate the conditions for the existence and stability of autoresonant modes and construct long-term asymptotics for stable solutions. In particular, we show that unstable regimes become stable when the system parameters pass through certain threshold values." @default.
- W2798804959 created "2018-05-07" @default.
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- W2798804959 date "2018-04-23" @default.
- W2798804959 modified "2023-09-26" @default.
- W2798804959 title "Asymptotic analysis of the autoresonance capture in oscillating systems with combined excitation" @default.
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