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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2015 Volume 11, Number 3, Pages 447–457 (Mi nd489)

This article is cited in 4 papers

Original papers

Transitory shift in the flutter problem

A. D. Morozov, K. E. Morozov

Lobachevski State University of Nizhni Novgorod, 23 Prospekt Gagarina (Gagarin Avenue), Nizhny Novgorod, 603950, Russia

Abstract: We consider the two-dimensional 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 identified measure of transport between the cells filled with closed trajectories. In the nonconservative case, we consider the impact of transitory shift to setting of one or another attractor. We give probabilities of changing a mode (stationary to auto-oscillation).

Keywords: transitory system, separatrix, limit cycles, attractors, flutter.

UDC: 517.9:534.1

MSC: 34C15

Received: 19.02.2015
Revised: 18.06.2015



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