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倒置单摆的双碰撞周期轨的存在性

, PP. 150-153

Keywords: 倒置单摆,双碰撞周期轨,分段光滑动力系统

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Abstract:

考虑了具有双侧刚性约束的正弦型周期性受迫的倒置单摆的双碰撞周期轨道.通过双碰撞周期轨道的特性,利用正弦函数性质和函数单调性技巧,给出了两类双碰撞周期轨道存在性的充分必要条件.

References

[1]  Hendricks F. Bounce and chaotic motion in impact print hammers[J]. IBM J,1983,27:273-280.
[2]  Hogan S J. On the dynamics of rigid-block motion under harmonic forcing[J]. Proc Roy Soc London,1989,A425:441-476.
[3]  Chow S N, Shaw S W. Bifurcations of subharmonics[J]. J Diff Eqns,1986,65:304-320.
[4]  Shaw S W, Rand R H. The transition to chaos in the simple mechanical system[J]. Int J Non-linear Mechanics,1989,24:41-56.
[5]  Shaw S W, Homes P J. A periodically forced piecewise linear oscillator[J]. J Sound Vib,1983,90:129-155.
[6]  Budd C J, Lee A G. Double impact orbits of periodically forced impact oscilators[J]. Proc Roy Soc London,1996,A452:2719-2750.
[7]  Chin W, Ott E, Nusse H E, et al. Grazing bifurcations in impact oscillators[J]. Phys Rev,1994,E50:4427-4444.
[8]  Dankowicz H, Jerrelind J. Control of near-grazing dynamics in impact oscillators[J]. Proc Roy Soc London,2005,A461:3365-3380.
[9]  Bernardo M D, Budd C J, Champneys A R, et al. Piecewise-smooth Dynamical System: Theory and Application[M]. London:Springer-Verlag,2008.
[10]  Nordmark A B. Non-periodic motion caused by grazing incidence in an impact oscillator[J]. J Sound Vib,1991,145:279-297.
[11]  贤燕华,罗晓曙,梁宗经,等. 自适应控制DC-DC BUCK变换器中的混沌[J]. 广西师范大学学报:自然科学版,2003,21(4):10-14.
[12]  贤燕华,罗晓曙,翁甲强. 高维并联BUCK变换器分段光滑动力学模型[J]. 广西师范大学学报:自然科学版,2004,22(2):5-9.
[13]  Du Z D, Li Y R, Zhang W N. Type I periodic motions for nonlinear impact oscillators[J]. Nonlinear Anal:TMA,2007,67:1344-1358.
[14]  Du Z D, Zhang W N. Melnikov method for homoclinic bifurcation in nonlinear impact oscillators[J]. Comput Math Appl,2005,50:445-458.
[15]  Du Z D, Li Y R, Zhang W N. Asymmetic Type II periodic motions for nonlinear impact oscillators[J]. Nonlinear Anal:TMA,2008,68:2681-2696.

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