Analysis of a Mass-Spring-Relay System With Periodic Forcing
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Abstract The dynamics of a hysteretic relay oscillator with harmonic forcing is investigated. Periodic excitation of the system results in periodic, quasi-periodic, chaotic and unbounded behavior. A Poincare map is constructed to simplify the mathematical analysis. The stability of the xed points of the Poincare map corresponding to period-one solutions is investigated. By varying the forcing parameters, we observed a saddle-center and a pitchfork bifurcation of two centers and a saddle type xed point. The global dynamics of the system is investigated, showing discontinuity induced bifurcations of the xed points.
1992 ◽
Vol 02
(01)
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pp. 1-9
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2015 ◽
Vol 10
(2)
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1991 ◽
Vol 01
(01)
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pp. 235-252
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1992 ◽
Vol 438
(1904)
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pp. 545-569
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2013 ◽
Vol 23
(02)
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pp. 1350027
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