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    Topological Vibration Analysis of Elastic Lattices Via Bloch-Sphere Mapping 

    Source: Journal of Vibration and Acoustics:;2026:;volume( 148 ):;issue:004:;page 621
    Author(s): Mahmood, Kazi T.; Arif Hasan, M.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Abstract. Mechanical lattices support topological wave phenomena governed by geometric phases. We develop a compact Hilbert-space description for one-dimensional elastic chains, expressing intracell motion as a normalized ...
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    Multi-Bit Quantum-Inspired Dynamics in Nonlinear Mechanical Oscillators 

    Source: Journal of Applied Mechanics:;2026:;volume( 093 ):;issue:006
    Author(s): Mahmood, Kazi T.; Hasan, M. Afridi; Faiaz, Abrar N.-E.; Hasan, M. Arif; Deymier, Pierre A.; Runge, Keith; Levine, Joshua A.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Abstract. Vibration responses from nonlinear mechanical systems exhibit rich dynamical structure that can be utilized for information encoding and processing. We demonstrate that such structures can be used to encode and ...
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