On the generation of sets of subharmonic modes in a piecewise-continuous system. (English. Russian original) Zbl 0317.70030
J. Appl. Math. Mech. 38, 759-767 (1974); translation from Prikl. Mat. Mekh. 38, 810-818 (1974).
MSC:
| 70K20 | Stability for nonlinear problems in mechanics |
| 34C15 | Nonlinear oscillations and coupled oscillators for ordinary differential equations |
References:
| [1] | Feigin, M. I., Doubling of the oscillation period with \(C\)-bifurcations in piece-wise-continuous systems, PMM, Vol. 34, N≗ 5 (1970) · Zbl 0224.34021 |
| [2] | Bautin, N., Behavior of Dynamic Systems Close to the Boundaries of the Stability Region (1949), Gostekhizdat: Gostekhizdat Leningrad-Moscow |
| [3] | Iorish, Iu. I., Subharmonic resonance in a system with an elastic limiter of motion, Zh. Tekhn. Fiz., Vol. 16, N≗ 6 (1946) |
| [4] | Bespalova, L. V., On the theory of a vibropercussive mechanism, (OTN (1957), Izv. Akad. Nauk SSSR), N≗5 |
| [5] | Babitskii, V. I., On the existence of high-frequency oscillations of large amplitude in linear systems with limiters, Mashinovedenie, N≗ 1 (1966) |
| [6] | Kolovskii, M. Z., Nonlinear Theory of Vibroprotective Systems (1966), Nauka: Nauka Moscow · Zbl 0155.42901 |
| [7] | Astashev, V. K., On the dynamics of an oscillator impacting on a limiter, Mashinovedenie, N≗ 2 (1971) |
| [8] | Biderman, V. L., Applied Theory of Mechanical Oscillations (1972), Vysshaia Shkola: Vysshaia Shkola Moscow |
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