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http://dx.doi.org/10.13067/JKIECS.2011.6.5.709

Chaotic Phenomena in MEMS with Duffing Equation  

Bae, Young-Chul (전남대학교 전기.전자통신.컴퓨터 공학부)
Publication Information
The Journal of the Korea institute of electronic communication sciences / v.6, no.5, 2011 , pp. 709-716 More about this Journal
Abstract
Recently, there are many difficult for maintenance in the power in established sensor networks. In order to solve this problems, the power development has been interested using vibration in MEMS that insert the MEMS oscillator. In this paper, we propose the MEMS system with Duffing equation to generate vibration signal that can be use power signal in MEMS and confirm and verify the chaotic behaviors in vibration signal of MEMS by computer simulation. As a verification methods, we confirm the existence of period motion and chaotic motion by parameter variation through the time series, phase portrait, power spectrum and poincare map.
Keywords
Chaos; Nonlinear Dynamics; MEMS; vibration signal; Duffing equation;
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Times Cited By KSCI : 4  (Citation Analysis)
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1 S. G. Adams, "Design of electrostatic actuators to tune MEMS", Ph.D. dissertation, Cornell Univ., Ithaca, NY, May, 1996.
2 Yongmei Cindy Wang, Scott G. Adams, James S. Thorp, Noel C. MacDonald, Pete Hartwell, and Fred Bertsch, "Chaos in MEMS, Parameter Estimation and Its Potential Application", IEEE. trans. Circuit and System, Vol. 45, No. 10, pp. 1013-1020, 1998.   DOI
3 K. Shaw, Z. Zhang, and N. MacDonald, "SCREAM I: A single mask, single crystal silicon process for microelectromechanical structures", MEMS'93, pp. 155-160, 1993.
4 박나연, 손철수, 김원중, "모바일 센서 네트워크에서 효율적인 노드 위치 결정", 한국전자통신학회 논문지, 5권, 4호, pp. 391-398, 2010.
5 강희훈, 이영종, 한완옥, "유비쿼터스 센서 네트워크를 위한 에너지-효율적인 계층 구조 클러스터 기반 라우팅 기법", 한국전자통신학회논문지, 4권, 3호, pp. 243-246, 2009.
6 손영우, 배영철, "하드웨어 구현에 의한 카오스어트렉터 생성용 Chua 회로에 관한 연구", 한국전자통신학회논문지, 5권, 2호, pp. 158-163, 2010.
7 손영우, 배영철, "L 성분이 없는 간략화 CHUA회로 구현에 관한 연구", 한국전자통신학회논문지, 5권, 1호, pp. 17-22, 2010.
8 G. Duffing, "Erzwungene Schwingungen bei Veranderlicher Eigen Frequenz und ihre Technische Bedeutung", Vieweg, Brauschweig, 1918.
9 J. M. T. Thompson and H. B. Stewart, "Nonlinear Dynamics and Chaos", John Wiley, Singapore, 1988.
10 M Lakshmanan, K Murali, "Chaos in Nonlinear oscillators", World scientific, 1995.
11 S. Parthasarathy and M. Lakshmanan, "On the exact solutions of the duffing oscillator", J. Sound Vib. Vol. 137, pp. 523-526, 1990.   DOI   ScienceOn
12 A. H. Nayfeh and D. T. Mook, "Nonlinear Oscillations". John Wiley, New York, 1979.
13 J. Guckenheimer and P. Holmes, "Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields", New York, NY: Springer-Verlag, 1983.
14 F. C. Moon and P. Holmes, "A magnetoelastic strange attractor," J. Sound Vib., Vol. 65, No. 2, pp. 285-296, 1979.