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Logic operations demonstrated with localized vibrations in a micromechanical cantilever array

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  • A method is presented for realizing logic operations in a micro-mechanical cantilever array based on the timed application of a lattice disturbance to control the properties of intrinsic localized modes (ILMs). The application of a specific inhomogeneous field destroys a driver-locked ILM, while the same operation can create an ILM if initially no-ILM exists. Logic states "1" and "0" correspond to "present" or "absent" ILM.
    Mathematics Subject Classification: Primary: 70K40, 70Q05; Secondary: 70K75.


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  • [1]

    Q. Chen, L. Huang, Y.-C. Lai and D. Dietz, Dynamical mechanism of intrinsic localized modes in micromechanical oscillator arrays, Chaos, 19 (2009), 013127.doi: 10.1063/1.3078706.


    M. R. M. Crespo da Silva and C. C. Glynn, Nonlinear flexural-flexural-torsional dynamics of inextensional beams II. Forced motions, J. Struct. Mech., 6 (1978), 449.doi: 10.1080/03601217808907349.


    A. J. Dick, A. J. Balachandran and C. D. Mote, Intrinsic localized modes in microresonator arrays and their relationship to nonlinear vibration modes, Nonlin. Dyn., 54 (2008), 13-29.doi: 10.1007/s11071-007-9288-0.


    J. Fajans and L. Friedland, Autoresonant (nonstationary) excitation of pendulums, plutinos, plasmas and other nonlinear oscillators, Am. J. Phys., 69 (2001), 1096-1102.doi: 10.1119/1.1389278.


    S. L. Hurst, "The Logical Processing of Digital Signals," Chap. 1, Crane, Russak & Company, Inc., New York, 1978.


    E. Kenig, R. Lifshitz and M. C. Cross, Pattern selection in parametrically driven arrays of nonlinear resonators, Phys. Rev. E, 79 (2009), 026203.doi: 10.1103/PhysRevE.79.026203.


    E. Kenig, B. A. Malomed, M. C. Cross and R. Lifshitz, Intrinsic localized modes in parametrically-driven arrays of nonlinear resonators, arXiv:0904.1355v1, (2009).


    P. Maniadis and S. Flach, Mechanism of discrete breather excitation in driven micro-mechanical cantilever array, Euro Phys. Lett., 74 (2006), 452-458.doi: 10.1209/epl/i2005-10550-y.


    A. H. Nayfeh and D. T. Mook, "Nonlinear Oscillations," Chap. 4, John Wiley & Sons, New York, 1979.


    T. Rössler and J. B. Page, Intrinsic localized modes in driven anharmonic lattices with realistic potentials, Physics Letters A, 204 (1995), 418.doi: 10.1016/0375-9601(95)00519-9.


    M. Sato, B. E. Hubbard, A. J. Sievers, B. Ilic, D. A. Czaplewski and H. G. Craighead, Observation of locked intrinsic localized vibrational modes in a micromechanical oscillator array, Phys. Rev. Lett., 90 (2003), 044102.doi: 10.1103/PhysRevLett.90.044102.


    M. Sato, B. E. Hubbard, L. Q. English, A. J. Sievers, B. Ilic, D. A. Czaplewski and H. G. Craighead, Study of intrinsic localized vibrational modes in micromechanical oscillator arrays, Chaos, 13 (2003), 702.doi: 10.1063/1.1540771.


    M. Sato, B. E. Hubbard, A. J. Sievers, B. Ilic and H. G. Craighead, Optical manipulation of intrinsic localized vibrational energy in cantilever arrays, Europhys. Lett., 66 (2004), 318-323.doi: 10.1209/epl/i2003-10224-x.


    M. Sato, B. E. Hubbard and A. J. Sievers, Nonlinear energy localization and its manipulation in micromechanical oscillator arrays, Rev. Mod. Phys., 78 (2006), 137-157.doi: 10.1103/RevModPhys.78.137.


    M. Sato, S. Yasui, M. Kimura, T. Hikihara and A. J. Sievers, Management of localized energy in discrete nonlinear transmission lines, Euro Phys. Lett., 80 (2007), 3002.doi: 10.1209/0295-5075/80/30002.


    M. Sato and A. J. Sievers, Visualizing intrinsic localized modes with a nonlinear micromechanical array, Low Temperature Physics, 34 (2008), 543-548.doi: 10.1063/1.2957286.


    M. Sato, B. E. Hubbard and A. J. Sievers,   to be published.


    M. Spletzer, A. Raman, H. Sumali and J. P. Sullivan, Highly sensitive mass detection and identification using vibration localization in coupled microcantilever arrays, Appl. Phys. Lett., 92 (2008), 114102.doi: 10.1063/1.2899634.


    J. Wiersig, S. Flach and K.-H. Ahn, Discrete breathers in ac-driven nanoelectromechanical shuttle arrays, Appl. Phys. Lett., 93 (2008), 222110.doi: 10.1063/1.3043434.

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