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Transitory shift in the flutter problem. (Russian. English summary) Zbl 1342.34067

Summary: We consider a two-dimensional autonomous system, which occurs in the flutter problem. We assume that this system is transitory (one whose time-dependence is confined to a compact interval). In the conservative case of this problem, we identify the measure of transport between the cells filled with closed trajectories. In the nonconservative case, we consider the impact of transitory shift on an attractor. We give probabilities of changing a mode (stationary to auto-oscillation).

MSC:

34C60 Qualitative investigation and simulation of ordinary differential equation models
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
34C37 Homoclinic and heteroclinic solutions to ordinary differential equations
34D45 Attractors of solutions to ordinary differential equations
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