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1

Bellan, P. M. "Mode-Beating Model of ac Helicity Injection." Physical Review Letters 54, no. 13 (1985): 1381–84. http://dx.doi.org/10.1103/physrevlett.54.1381.

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2

Farfan, Camille A., and Daniel B. Turner. "Interference among Multiple Vibronic Modes in Two-Dimensional Electronic Spectroscopy." Mathematics 8, no. 2 (2020): 157. http://dx.doi.org/10.3390/math8020157.

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Vibronic coupling between electronic and vibrational states in molecules plays a critical role in most photo-induced phenomena. Many key details about a molecule’s vibronic coupling are hidden in linear spectroscopic measurements, and therefore nonlinear optical spectroscopy methods such as two-dimensional electronic spectroscopy (2D ES) have become more broadly adopted. A single vibrational mode of a molecule leads to a Franck–Condon progression of peaks in a 2D spectrum. Each peak oscillates as a function of the waiting time, and Fourier transformation can produce a spectral slice known as a
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3

Eckhardt, Ralf, and Reinhard Ulrich. "Mode‐beating spectroscopy in a few‐mode optical guide." Applied Physics Letters 63, no. 3 (1993): 284–86. http://dx.doi.org/10.1063/1.110079.

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4

Pernberg, J., and H. Machemer. "Voltage-dependence of ciliary activity in the ciliate Didinium nasutum." Journal of Experimental Biology 198, no. 12 (1995): 2537–45. http://dx.doi.org/10.1242/jeb.198.12.2537.

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In the gymnostome ciliate Didinium nasutum, swimming behaviour depends upon the cyclic activity of about 3000 cilia. The normal beating mode, resulting in forward swimming of the cell, is characterized by a posteriad effective beat (18 left of the longitudinal axis) at a frequency of approximately 15 Hz. Activation of depolarization-sensitive ciliary Ca2+ channels leads to an increase in intracellular Ca2+ concentration and a change in the beating mode. Following rapid reorientation, the effective stroke is anteriad (24 ° right of the longitudinal axis) and the beating frequency is abo
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5

Rosales-Garcia, A., T. F. Morse, J. Hernandez-Cordero, and M. S. Unlu. "Single Polarization-Mode-Beating Frequency Fiber Laser." IEEE Photonics Technology Letters 21, no. 8 (2009): 537–39. http://dx.doi.org/10.1109/lpt.2009.2014469.

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6

Hentschel, R. M., D. J. W. Brown, and J. A. Piper. "Mode beating effects in metal vapour lasers." Optics Communications 137, no. 1-3 (1997): 69–73. http://dx.doi.org/10.1016/s0030-4018(96)00763-8.

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7

Bertram, W. K. "Mode beating in (J×B) current drive." Plasma Physics and Controlled Fusion 31, no. 4 (1989): 667–73. http://dx.doi.org/10.1088/0741-3335/31/4/012.

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8

Ma, Weiyuan, Shai D. Silberberg, and Zvi Priel. "Distinct Axonemal Processes Underlie Spontaneous and Stimulated Airway Ciliary Activity." Journal of General Physiology 120, no. 6 (2002): 875–85. http://dx.doi.org/10.1085/jgp.20028695.

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Cilia are small organelles protruding from the cell surface that beat synchronously, producing biological transport. Despite intense research for over a century, the mechanisms underlying ciliary beating are still not well understood. Even the nature of the cytosolic molecules required for spontaneous and stimulated beating is debatable. In an effort to resolve fundamental questions related to cilia beating, we developed a method that integrates the whole-cell mode of the patch-clamp technique with ciliary beat frequency measurements on a single cell. This method enables to control the composi
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9

Cheng, Wenyan, Quanbao Cheng, Changshen Du, Yuntong Dai, and Kai Li. "Beating of a Spherical Liquid Crystal Elastomer Balloon under Periodic Illumination." Micromachines 13, no. 5 (2022): 769. http://dx.doi.org/10.3390/mi13050769.

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Periodic excitation is a relatively simple and common active control mode. Owing to the advantages of direct access to environmental energy and controllability under periodic illumination, it enjoys broad prospects for application in soft robotics and opto-mechanical energy conversion systems. More new oscillating systems need to be excavated to meet the various application requirements. A spherical liquid crystal elastomer (LCE) balloon model driven by periodic illumination is proposed and its periodic beating is studied theoretically. Based on the existing dynamic LCE model and the ideal gas
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10

Iparraguirre, I. "Transient mode-beating in confocal unstable passive resonators." Optics Communications 91, no. 3-4 (1992): 218–22. http://dx.doi.org/10.1016/0030-4018(92)90442-t.

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11

Zhang, Pei-Ji, Qing-Xin Ji, Qi-Tao Cao, et al. "Single-mode characteristic of a supermode microcavity Raman laser." Proceedings of the National Academy of Sciences 118, no. 22 (2021): e2101605118. http://dx.doi.org/10.1073/pnas.2101605118.

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Microlasers in near-degenerate supermodes lay the cornerstone for studies of non-Hermitian physics, novel light sources, and advanced sensors. Recent experiments of the stimulated scattering in supermode microcavities reported beating phenomena, interpreted as dual-mode lasing, which, however, contradicts their single-mode nature due to the clamped pump field. Here, we investigate the supermode Raman laser in a whispering-gallery microcavity and demonstrate experimentally its single-mode lasing behavior with a side-mode suppression ratio (SMSR) up to 37 dB, despite the emergence of near-degene
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12

Benzhuo, Lou. "Particle Sizing with PCS Mixed of Self-beating Mode and Heterodyne Mode." Particle & Particle Systems Characterization 25, no. 5-6 (2008): 414–19. http://dx.doi.org/10.1002/ppsc.200700020.

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13

Kincaid, Peter Seigo, Alessandro Porcelli, Ennio Arimondo, et al. "Methods of Mode Generation Inside Hollow Core Photonic Crystal Fibers." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 265, no. 2 (2023): 5186–92. http://dx.doi.org/10.3397/in_2022_0755.

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Microspheres trapped inside Hollow Core Photonic Crystal Fibers (HCPCF) could provide a way to monitor the temperature in hydrogen combustors, thereby helping to provide a warning system for flashback and thermoacoustic oscillations that can lead to expensive combustor damage. The temperature of a particle trapped in a HCPCF may be extracted by the analysis of the particles' motion, which can be in turn controlled by opportune manipulation of the spatial intensity profile of the light in HCPCF. To this aim, an intermodal beating intensity pattern may be created inside the HCPCF using a mixture
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14

Blank, T. G. H., K. A. Grishunin, and A. V. Kimel. "Magneto-optical detection of terahertz cavity magnon-polaritons in antiferromagnetic HoFeO3." Applied Physics Letters 122, no. 7 (2023): 072402. http://dx.doi.org/10.1063/5.0124503.

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An intense THz pulse excites a high-Q magnetic resonance mode in the antiferromagnetic insulator HoFeO3 by the THz Zeeman torque. By using magneto-optical detection and sweeping the temperature, we observed an anomalous beating in the magnon dynamics for certain temperatures. The beating originates from the formation of cavity magnon-polaritons upon the intersection of the antiferromagnetic resonance frequency with the frequencies of the Fabry–Pérot modes inside the etalon formed by the sample cavity in the weak coupling limit. The validity of this idea is demonstrated by simulations using Max
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15

Lechner, H. A., D. A. Baxter, J. W. Clark, and J. H. Byrne. "Bistability and its regulation by serotonin in the endogenously bursting neuron R15 in Aplysia." Journal of Neurophysiology 75, no. 2 (1996): 957–62. http://dx.doi.org/10.1152/jn.1996.75.2.957.

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1. Previous computational studies of models of neuron R15 in Aplysia have indicated that several distinct modes of electrical activity may coexist at a given set of parameters, that this multistability can be modulated by transmitters such as serotonin (5-HT) and that brief perturbations of the membrane potential can induce persistent changes in the mode of electrical activity. To test these predictions, the responses of R15 neurons to injections of brief (1.5 s) current pulses were recorded intracellularly in the absence and presence of 5-HT. 2. In the absence of 5-HT, brief perturbations ind
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16

Poustie, Alistair J., Paul Harper, and Neil Finlayson. "Multiwavelength fiber laser using a spatial mode beating filter." Optics Letters 19, no. 10 (1994): 716. http://dx.doi.org/10.1364/ol.19.000716.

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17

Nishihara, M., J. B. Freund, N. G. Glumac, and G. S. Elliott. "Influence of mode-beating pulse on laser-induced plasma." Journal of Physics D: Applied Physics 51, no. 13 (2018): 135601. http://dx.doi.org/10.1088/1361-6463/aaad87.

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18

Hutchings, David C., and Barry M. Holmes. "A Waveguide Polarization Toolset Design Based on Mode Beating." IEEE Photonics Journal 3, no. 3 (2011): 450–61. http://dx.doi.org/10.1109/jphot.2011.2146765.

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19

Kamiya, R., and M. Okamoto. "A mutant of Chlamydomonas reinhardtii that lacks the flagellar outer dynein arm but can swim." Journal of Cell Science 74, no. 1 (1985): 181–91. http://dx.doi.org/10.1242/jcs.74.1.181.

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A new type of Chlamydomonas mutant, which lacks the outer dynein arm but can swim, was isolated. Sodium dodecyl sulphate/polyacrylamide gel electrophoresis showed that four of the ten high-molecular-weight bands of dynein present in the wild-type axoneme are missing or diminished in the mutant axoneme. The mutant has a swimming rate of about 35 micrometers/s and a flagellar beat frequency of about 25 Hz, both of which are about 1/2.5 to 1/3 of those of the wild type. The mutant flagella beat with an asymmetric, cilia-type pattern, similar to the forward-swimming mode of the flagellar beating p
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20

Payton, O., A. R. Champneys, M. E. Homer, L. Picco, and M. J. Miles. "Feedback-induced instability in tapping mode atomic force microscopy: theory and experiment." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2130 (2010): 1801–22. http://dx.doi.org/10.1098/rspa.2010.0451.

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We investigate a mathematical model of tapping mode atomic force microscopy (AFM), which includes surface interaction via both van der Waals and meniscus forces. We also take particular care to include a realistic representation of the integral control inherent to the real microscope. Varying driving amplitude, amplitude setpoint and driving frequency independently shows that the model can capture the qualitative features observed in AFM experiments on a flat sample and a calibration grid. In particular, the model predicts the onset of an instability, even on a flat sample, in which a large-am
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21

Trinel, Jean-Baptiste, Guillaume Le Cocq, Yves Quiquempois, Esben Ravn Andresen, Olivier Vanvincq, and Laurent Bigot. "Theoretical study of gain-induced mode coupling and mode beating in few-mode optical fiber amplifiers." Optics Express 25, no. 3 (2017): 2377. http://dx.doi.org/10.1364/oe.25.002377.

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22

Rahman, B. M. A., R. Abdallah, M. Rajarajan, S. S. A. Obayya, and K. T. V. Grattan. "Rigorous numerical analysis of mode beating in tapered semiconductor amplifiers." Journal of Lightwave Technology 23, no. 6 (2005): 2124–30. http://dx.doi.org/10.1109/jlt.2005.849942.

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23

Yoshimura, Kenjiro, Chikako Shingyoji, and Keiichi Takahashi. "Conversion of beating mode inChlamydomonas flagella induced by electric stimulation." Cell Motility and the Cytoskeleton 36, no. 3 (1997): 236–45. http://dx.doi.org/10.1002/(sici)1097-0169(1997)36:3<236::aid-cm4>3.0.co;2-5.

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24

Travagnin, Martino, Francesco Sartori, and Marco Ruzzier. "Mode Beating Analysis by Sample Stretching and Wavelength Sweeping in a Few-Mode Fiber." Journal of Lightwave Technology 32, no. 3 (2014): 494–504. http://dx.doi.org/10.1109/jlt.2013.2294475.

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25

Jiang, Xinrui, Baojian Wu, Xinglu Jiang, Feng Wen, and Kun Qiu. "Modal gain characteristics of few-mode erbium-doped fiber amplifiers with pump mode beating." Optics & Laser Technology 181 (February 2025): 111881. http://dx.doi.org/10.1016/j.optlastec.2024.111881.

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26

Akhtari, Simon, and Peter M. Krummrich. "Impact of Mode Beating Effects in Optical Multi-Mode Amplifiers for Space Division Multiplexing." IEEE Photonics Technology Letters 25, no. 24 (2013): 2482–85. http://dx.doi.org/10.1109/lpt.2013.2288118.

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27

Grigorieva, Elena, and Sergey Kashchenko. "Normal and quasi-normal forms of the semiclassical laser equations with diffraction." Izvestiya VUZ. Applied Nonlinear Dynamics 3, no. 1 (1995): 59–72. https://doi.org/10.18500/0869-6632-1995-3-1-59-72.

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The transverse pattern formation of rotating and standing waves and transverse mode beating in laser are considered using of the normal form method. The complicated dynamics possibility due to the neutral stability solutions of the shortened equations is demonstrated.
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28

Çelebi, Mehmet. "Responses of a 58-Story RC Dual Core Shear Wall and Outrigger Frame Building Inferred from Two Earthquakes." Earthquake Spectra 32, no. 4 (2016): 2449–71. http://dx.doi.org/10.1193/011916eqs018m.

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Responses of a dual core shear-wall and outrigger-framed 58-story building recorded during the Mw6.0 Napa earthquake of 24 August 2014 and the Mw3.8 Berkeley earthquake of 20 October 2011 are used to identify its dynamic characteristics and behavior. Fundamental frequencies are 0.28 Hz (NS), 0.25 Hz (EW), and 0.43 Hz (torsional). Rigid body motions due to rocking are not significant. Average drift ratios are small. Outrigger frames do not affect average drift ratios or mode shapes. Local site effects do not affect the response; however, response associated with deeper structure may be substant
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29

Sharfin, W. F., J. Schlafer, and E. S. Koteles. "Observation of mode beating and self-frequency locking in a nearly single-mode semiconductor laser." IEEE Journal of Quantum Electronics 30, no. 8 (1994): 1709–12. http://dx.doi.org/10.1109/3.301633.

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Stremplewski, Patrycjusz, and Czeslaw Koepke. "Up-converted emission and mode beating in Er^3+- doped fibers." Optics Express 23, no. 22 (2015): 28288. http://dx.doi.org/10.1364/oe.23.028288.

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Chua, S. J., and W. H. Loh. "Simulation of inhomogeneous broadening and mode-beating effects in semiconductor lasers." IEE Proceedings J Optoelectronics 135, no. 4 (1988): 310. http://dx.doi.org/10.1049/ip-j.1988.0059.

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32

Liu, C., H. Cao, G. A. Smolyakov, P. G. Eliseev, and M. Osiński. "Anomalous splitting in microwave mode-beating spectra of semiconductor ring lasers." Electronics Letters 41, no. 17 (2005): 963. http://dx.doi.org/10.1049/el:20052332.

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33

Krishnagopal, S., M. Xie, and K. J. Kim. "Suppression of mode-beating in a saturated hole-coupled FEL oscillator." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 331, no. 1-3 (1993): 654–57. http://dx.doi.org/10.1016/0168-9002(93)90130-a.

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34

Fok, Mable P., Yanhua Deng, Konstantin Kravtsov, and Paul R. Prucnal. "Signal beating elimination using single-mode fiber to multimode fiber coupling." Optics Letters 36, no. 23 (2011): 4578. http://dx.doi.org/10.1364/ol.36.004578.

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35

Ali, A., M. A. Karim, L. Ali, S. S. Ali, M. Jamil, and A. Majid. "Delay in Threshing and Mode of Beating Effects on Milling Recovery." International Rice Research Notes 18, no. 2 (1993): 35. https://doi.org/10.5281/zenodo.6822326.

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This article &#39;Delay in Threshing and Mode of Beating Effects on Milling Recovery&#39; appeared in the International Rice Research Notes series, created by the International Rice Research Institute (IRRI) to expedite communication among scientists concerned with the development of improved technology for rice and rice-based systems. The series is a mechanism to help scientists keep each other informed of current rice research findings. The concise scientific notes are meant to encourage rice scientists to communicate with one another to obtain details on the research reported.
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36

LIN, Y. J., C. S. SUH, and S. T. NOAH. "DYNAMIC CHARACTERISTICS OF SHEET ROLLING INSTABILITY." International Journal of Structural Stability and Dynamics 02, no. 03 (2002): 375–94. http://dx.doi.org/10.1142/s0219455402000609.

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Dynamic rolling instability known as fifth-octave chatter is studied using a nonlinear model developed to describe the responses of work rolls subjected to the exertion of sheet forces of various spectral characteristics. The model enables the dynamic instability of sheet rolling to be correlated with work roll stiffness, rolling speed, inter-stand tension, roll-bite entry and exit thickness, and the sheet force resulted from the interactive action of the work roll with the plastic deformation of the rolled strip. It is found that roll-bit elastic-plastic deformation sheet force is nonlinearly
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37

Ohmuro, Junko, and Sumio Ishijima. "Hyperactivation is the mode conversion from constant-curvature beating to constant-frequency beating under a constant rate of microtubule sliding." Molecular Reproduction and Development 73, no. 11 (2006): 1412–21. http://dx.doi.org/10.1002/mrd.20521.

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38

Jerzykiewicz, M., та A. Pigulski. "Long-Term Variations in the β CEPHEI Stars 16 (EN) LAC and ν ERI". Highlights of Astronomy 11, № 1 (1998): 348. http://dx.doi.org/10.1017/s1539299600020992.

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Using all available data, we investigate long-term variations of the amplitudes of the three strongest pulsation modes of 16 (EN) Lac and the period of the strongest mode of ν Eri. We show that in case of 16 (EN) Lac there are feasible explanations of the observed variations. The explanations involve non-linear interaction between pulsation modes (the first two observed modes) and beating between two non-interacting modes (the third observed mode). In case of ν Eri, however, we can only indicate the difficulty of accounting for the long-term period variation.MJ gratefully acknowledges an IAU t
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39

Li, Long, Yan Li, Mingshun Yang, and Tong Tong. "Process Parameters Decision to Optimization of Cold Rolling-Beating Forming Process through Experiment and Modelling." Metals 9, no. 4 (2019): 405. http://dx.doi.org/10.3390/met9040405.

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The cold roll-beating forming (CRBF) process is a particular cold plastic bulk forming technology for metals that is adequate for shaping the external teeth of important parts. The process parameters of the CRBF process were studied in this work to improve the process performance. Of the CRBF process characteristics, the forming forces, tooth profile angle, surface roughness, and forming efficiency were selected as the target indices to describe the process performance. Single tooth experimental tests of ASTM 1045 steel were conducted with different roll-beating modes, spindle rotation speeds,
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40

Xiong, Fengfu, Yizhong Huang, Lili Le, et al. "1484-nm two-cascaded Raman fiber laser mode-locked by an intermode-beating mode-locking technique." Optical Engineering 54, no. 4 (2015): 046102. http://dx.doi.org/10.1117/1.oe.54.4.046102.

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41

Zou, Yi-Quan, Ling-Na Wu, Qi Liu, et al. "Beating the classical precision limit with spin-1 Dicke states of more than 10,000 atoms." Proceedings of the National Academy of Sciences 115, no. 25 (2018): 6381–85. http://dx.doi.org/10.1073/pnas.1715105115.

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Interferometry is a paradigm for most precision measurements. Using N uncorrelated particles, the achievable precision for a two-mode (two-path) interferometer is bounded by the standard quantum limit (SQL), 1/N, due to the discrete (quanta) nature of individual measurements. Despite being a challenging benchmark, the two-mode SQL has been approached in a number of systems, including the Laser Interferometer Gravitational-Wave Observatory and today’s best atomic clocks. For multimode interferometry, the SQL becomes 1/[(M−1)N] using M modes. Higher precision can also be achieved using entangled
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42

Krogh-Madsen, Trine, Peter Schaffer, Anne D. Skriver, et al. "An ionic model for rhythmic activity in small clusters of embryonic chick ventricular cells." American Journal of Physiology-Heart and Circulatory Physiology 289, no. 1 (2005): H398—H413. http://dx.doi.org/10.1152/ajpheart.00683.2004.

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We recorded transmembrane potential in whole cell recording mode from small clusters (2–4 cells) of spontaneously beating 7-day embryonic chick ventricular cells after 1–3 days in culture and investigated effects of the blockers D-600, diltiazem, almokalant, and Ba2+. Electrical activity in small clusters is very different from that in reaggregates of several hundred embryonic chick ventricular cells, e.g., TTX-sensitive fast upstrokes in reaggregates vs. TTX-insensitive slow upstrokes in small clusters (maximum upstroke velocity ∼100 V/s vs. ∼10 V/s). On the basis of our voltage- and current-
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Li, Yi-Tien, Chun-Yuan Chang, Yi-Cheng Hsu, et al. "Impact of physiological noise in characterizing the functional MRI default-mode network in Alzheimer’s disease." Journal of Cerebral Blood Flow & Metabolism 41, no. 1 (2020): 166–81. http://dx.doi.org/10.1177/0271678x19897442.

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The functional connectivity of the default-mode network (DMN) monitored by functional magnetic resonance imaging (fMRI) in Alzheimer's disease (AD) patients has been found weaker than that in healthy participants. Since breathing and heart beating can cause fluctuations in the fMRI signal, these physiological activities may affect the fMRI data differently between AD patients and healthy participants. We collected resting-state fMRI data from AD patients and age-matched healthy participants. With concurrent cardiac and respiratory recordings, we estimated both physiological responses phase-loc
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44

Diaz, R., M. Chambonneau, R. Courchinoux, et al. "Influence of longitudinal mode beating on laser-induced damage in fused silica." Optics Letters 39, no. 3 (2014): 674. http://dx.doi.org/10.1364/ol.39.000674.

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Chen, Hsiang-Yu, Yu-Chieh Chi, Chung-Yu Lin, and Gong-Ru Lin. "Adjacent Channel Beating With Recombined Dual-Mode Colorless FPLD for MMW-PON." IEEE Journal of Selected Topics in Quantum Electronics 23, no. 6 (2017): 1–9. http://dx.doi.org/10.1109/jstqe.2017.2676042.

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46

Lin, H., and N. B. Abraham. "Mode formation and beating in the transverse pattern dynamics in a laser." Optics Communications 79, no. 6 (1990): 476–88. http://dx.doi.org/10.1016/0030-4018(90)90486-d.

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47

Al-Mumin, Mohammed. "Dynamics of symmetrical mode beating in complex coupling two-section DFB lasers." Optical and Quantum Electronics 40, no. 5-6 (2008): 361–66. http://dx.doi.org/10.1007/s11082-008-9237-2.

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48

Ahmad, Harith, Amirah A. Latif, Mohd Zamani Zulkifli, Noor Azura Awang, and Sulaiman Wadi Harun. "Temperature Sensing Using Frequency Beating Technique From Single-Longitudinal Mode Fiber Laser." IEEE Sensors Journal 12, no. 7 (2012): 2496–500. http://dx.doi.org/10.1109/jsen.2012.2191401.

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49

Tyagi, Deepika, Vijay Laxmi, Barkathulla Asrafali, et al. "Resonance-mode-induced beating effect for THz wave generation and principal demonstration." Optics and Lasers in Engineering 192 (September 2025): 109018. https://doi.org/10.1016/j.optlaseng.2025.109018.

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50

Breger, Michel. "Amplitude Variability of Delta Scuti Stars: 4 CVn." International Astronomical Union Colloquium 176 (2000): 421–25. http://dx.doi.org/10.1017/s025292110005822x.

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AbstractThe amplitude variability of δ Scuti stars is demonstrated by the behavior of the evolved δ Scuti star 4 CVn. The data on 4 CVn covering over 30 yr shows the amplitudes of almost all modes to be extremely variable with a time scales of ten years or longer. The most rapid decrease of amplitude in V is shown by the 7.38 d−1 mode of 4 CVn, which collapsed from 15 mmag in 1974 to 4 mmag in 1976, and 1 mmag in 1977. Between 1974–6 and 1977–8 phase jumps of almost half a cycle occurred. While a simple beating model of two close frequencies can be ruled out from the photometric data, the chan
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