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Journal articles on the topic 'Nonresonance'

Author: Grafiati

Published: 14 March 2023

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1

Chen, Xifu, Qian Lu, Weiqing Huang, and Yin Wang. "Working Mechanism of Nonresonance Friction in Driving Linear Piezoelectric Motors with Rigid Shaking Beam." Mathematical Problems in Engineering 2018 (November 28, 2018): 1–10. http://dx.doi.org/10.1155/2018/7438167.

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A kind of nonresonance shaking beam motors is proposed with the advantages of simple structure, easy processing, and low cost due to its wide application prospects in precision positioning technology and precision instruments. The normal vibration model between the stator and slider is divided into contact and noncontact types to investigate the nonresonance friction drive principle for this motor. The microscopic kinematics model for stator protruding section and the interface friction model for motor systems during both operating stages are established. Accordingly, the trajectory of the stator protruding section consists of two different elliptical motions, which differ from those of resonance-type motors. The output characteristic of the nonresonance shaking beam motor is proposed under steady working conditions with reference to the research method of standing-wave-type ultrasonic motors. Numerical analysis is used to simulate the normal vibration and mechanical output characteristics of the motor. Experimental and theoretical data fitting validates the numerical analysis results and allows the future optimization of nonresonance-type motors.

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2

Yu, P., A. H. Shah, and N. Popplewell. "Inertially Coupled Galloping of Iced Conductors." Journal of Applied Mechanics 59, no. 1 (1992): 140–45. http://dx.doi.org/10.1115/1.2899419.

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This paper is concerned with the galloping of iced conductors modeled as a two-degrees-of-freedom system. It is assumed that a realistic cross-section of a conductor has eccentricity; that is, its center of mass and elastic axis do not coincide. Bifurcation theory leads to explicit asymptotic solutions not only for the periodic solutions but also for the nonresonant, quasi-periodic motions. Critical boundaries, where bifurcations occur, are described explicitly for the first time. It is shown that an interesting mixed-mode phenomenon, which cannot happen in cocentric cases, may exist even for nonresonance.

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3

Cohen, Daniel C., Alexandru Dimca, and Peter Orlik. "Nonresonance conditions for arrangements." Annales de l’institut Fourier 53, no. 6 (2003): 1883–96. http://dx.doi.org/10.5802/aif.1994.

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4

KIM, YEONG E., and ALEXANDER L. ZUBAREV. "COULOMB BARRIER TRANSMISSION RESONANCE FOR ASTROPHYSICAL PROBLEMS." Modern Physics Letters B 07, no. 24n25 (1993): 1627–31. http://dx.doi.org/10.1142/s021798499300165x.

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In estimating the nonresonance nuclear reaction cross sections σ(E) at low energies (≲20 keV) needed for astrophysical calculations, it is customary to extrapolate higher energy (≳20 keV) data for σ(E) to low energies using the Gamow transmission coefficient representing the probability of bringing two charged particles to zero separation distance, which is unphysical and unrealistic since the Coulomb barrier does not exist inside the nuclear surface. We present a general extrapolation method based on a more realistic barrier transmission coefficient, which can accommodate simultaneously both nonresonance and resonance contributions.

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5

Kim, In-Sook, and Suk-Joon Hong. "Semilinear systems with a multi-valued nonlinear term." Open Mathematics 15, no. 1 (2017): 628–44. http://dx.doi.org/10.1515/math-2017-0056.

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Abstract Introducing a topological degree theory, we first establish some existence results for the inclusion h ∈ Lu − Nu in the nonresonance and resonance cases, where L is a closed densely defined linear operator on a Hilbert space with a compact resolvent and N is a nonlinear multi-valued operator of monotone type. Using the nonresonance result, we next show that abstract semilinear system has a solution under certain conditions on N = (N1, N2), provided that L = (L1, L2) satisfies dim Ker L1 = ∞ and dim Ker L2 < ∞. As an application, periodic Dirichlet problems for the system involving the wave operator and a discontinuous nonlinear term are discussed.

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6

Pang, Zhaojun, Zhonghua Du, Chun Cheng, and Qingtao Wang. "Dynamics and Control of Tethered Satellite System in Elliptical Orbits under Resonances." International Journal of Aerospace Engineering 2020 (September 21, 2020): 1–12. http://dx.doi.org/10.1155/2020/8844139.

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This paper studies resonance motions of a tethered satellite system (TSS) in elliptical orbits. A perturbation analysis is carried out to obtain all possible resonance types and corresponding parameter relations, including internal resonances and parametrically excited resonances. Besides, a resonance parametric domain is given to provide a reference for the parameter design of the system. The bifurcation behaviors of the system under resonances are studied numerically. The results show that resonant cases more easily enter chaotic motion than nonresonant cases. The extended time-delay autosynchronization (ETDAS) method is applied to stabilize the chaotic motion to a periodic one. Stability analysis shows that the stable domains become smaller in resonance cases than in the nonresonance case. Finally, it is shown that the large amplitudes of periodic solutions under resonances are the main reason why the system is difficult to control.

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7

Polyachenko, V. L., and E. V. Polyachenko. "Nonresonance spiral responses in disk galaxies." Astronomy Reports 46, no. 1 (2002): 1–15. http://dx.doi.org/10.1134/1.1436200.

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8

Yang, Xiaojing. "Nonresonance problem for higher-order systems." Applied Mathematics and Computation 135, no. 2-3 (2003): 505–15. http://dx.doi.org/10.1016/s0096-3003(02)00064-4.

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9

Doumatè, Jonas, and Aboubacar Marcos. "Weighted Steklov problem under nonresonance conditions." Boletim da Sociedade Paranaense de Matemática 36, no. 4 (2018): 87–105. http://dx.doi.org/10.5269/bspm.v36i4.31190.

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We deal with the existence of weak solutions of the nonlinear problem $-\Delta_{p}u+V|u|^{p-2}u$ in a bounded smooth domain $\Omega\subset \mathbb{R}^{N}$ which is subject to the boundary condition $|\nabla u|^{p-2}\frac{\partial u}{\partial \nu}=f(x,u)$. Here $V\in L^{\infty}(\Omega)$ possibly exhibit both signs which leads to an extension of particular cases in literature and $f$ is a Carathéodory function that satisfies some additional conditions. Finally we prove, under and between nonresonance condtions, existence results for the problem.

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10

Rudakov, I. A. "Nonlinear equations satisfying the nonresonance condition." Journal of Mathematical Sciences 135, no. 1 (2006): 2749–63. http://dx.doi.org/10.1007/s10958-006-0141-7.

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11

Zhang, Meirong. "Nonuniform Nonresonance of Semilinear Differential Equations." Journal of Differential Equations 166, no. 1 (2000): 33–50. http://dx.doi.org/10.1006/jdeq.2000.3798.

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12

Narayan, A., A. Chakraborty, and A. Dewangan. "Nonlinear Stability of Oblate Infinitesimal in Elliptic Restricted Three-Body Problem Influenced by the Oblate and Radiating Primaries." Advances in Astronomy 2019 (February 27, 2019): 1–14. http://dx.doi.org/10.1155/2019/9480764.

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This work deals with the nonlinear stability of the elliptical restricted three-body problem with oblate and radiating primaries and the oblate infinitesimal. The stability has been analyzed for the resonance cases around ω1=2ω2 and ω1=3ω2 and also the nonresonance cases. It was observed that the motion of the infinitesimal in this system shows instable behavior when considered in the third order resonance. However, for the fourth order resonance the stability is shown for some mass parameters. The motion in the case of nonresonance was found to be unstable. The problem has been numerically applied to study the movement of the infinitesimal around two binary systems, Luyten-726 and Sirius.

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13

Panahi, M., G. Solookinejad, E. Ahmadi Sangachin, and S. H. Asadpour. "Long wavelength superluminal pulse propagation in a defect slab doped with GaAs/AlGaAs multiple quantum well nanostructure." Modern Physics Letters B 29, no. 33 (2015): 1550216. http://dx.doi.org/10.1142/s0217984915502164.

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In this paper, long wavelength superluminal and subluminal properties of pulse propagation in a defect slab medium doped with four-level GaAs/AlGaAs multiple quantum wells (MQWs) with 15 periods of 17.5 nm GaAs wells and 15 nm [Formula: see text] barriers is theoretically discussed. It is shown that exciton spin relaxation (ESR) between excitonic states in MQWs can be used for controlling the superluminal and subluminal light transmissions and reflections at different wavelengths. We also show that reflection and transmission coefficients depend on the thickness of the slab for the resonance and nonresonance conditions. Moreover, we found that the ESR for nonresonance condition lead to superluminal light transmission and subluminal light reflection.

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14

Yang, Yisong. "Fourth-order boundary value problems at nonresonance." Bulletin of the Australian Mathematical Society 37, no. 3 (1988): 337–43. http://dx.doi.org/10.1017/s0004972700026952.

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We establish under nonuniform nonresonance conditions an existence and uniqueness theorem for a linear, and the solvability for a nonlinear, fourth-order boundary value problem which occurs frequently in plate deflection theory.

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15

Котов and P. Kotov. "Modern aspects of integration of nonresonance differential equations with limited right part functions in problems of electrodynamics and astrophysics." Modeling of systems and processes 7, no. 1 (2014): 27–30. http://dx.doi.org/10.12737/4951.

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A constructive approach is offered for integration of nonresonance real differential equations with limited functions in the right part considering the famous foundations of differential and integral calculus of measurable function of diagnosable parameters.

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16

Volnukhin, M. S. "Nonresonance case for differential equations with degeneration." Differential Equations 50, no. 3 (2014): 335–44. http://dx.doi.org/10.1134/s0012266114030070.

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17

Parkhomenko, A. I., and A. M. Shalagin. "Anomalous absorption of light under nonresonance conditions." Quantum Electronics 37, no. 5 (2007): 453–64. http://dx.doi.org/10.1070/qe2007v037n05abeh013308.

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18

Shamrov, N. I. "Saturation effects in nonresonance stimulated Raman scattering." Journal of Applied Spectroscopy 49, no. 1 (1988): 745–49. http://dx.doi.org/10.1007/bf00662918.

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19

Metzen, Gerhard. "Nonresonance semilinear operator equations in unbounded domains." Nonlinear Analysis: Theory, Methods & Applications 11, no. 10 (1987): 1185–92. http://dx.doi.org/10.1016/0362-546x(87)90006-x.

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20

Shamrov, N. I. "Lateral effects in nonresonance cooperative Raman scattering." Journal of Applied Spectroscopy 66, no. 2 (1999): 171–79. http://dx.doi.org/10.1007/bf02675246.

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21

Storozhev, A. V. "Nonresonance effects in the binary relaxation theory." Chemical Physics 138, no. 1 (1989): 81–88. http://dx.doi.org/10.1016/0301-0104(89)80258-7.

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22

Mizoguchi, N. "Asymptotically Linear Elliptic Equations Without Nonresonance Conditions." Journal of Differential Equations 113, no. 1 (1994): 150–65. http://dx.doi.org/10.1006/jdeq.1994.1118.

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23

Eskin, A. V., R. N. Faustov, A. P. Martynenko, and F. A. Martynenko. "Hadronic deuteron polarizability contribution to the Lamb shift in muonic deuterium." Modern Physics Letters A 31, no. 18 (2016): 1650104. http://dx.doi.org/10.1142/s0217732316501042.

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Hadronic deuteron polarizability correction to the Lamb shift of muonic deuterium is calculated on the basis of unitary isobar model and modern experimental data on the structure functions of deep inelastic lepton–deuteron scattering and their parametrizations in the resonance and nonresonance regions.

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24

Folgado, Miguel G., and Veronica Sanz. "On the Interpretation of Nonresonant Phenomena at Colliders." Advances in High Energy Physics 2021 (March 16, 2021): 1–12. http://dx.doi.org/10.1155/2021/2573471.

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With null results in resonance searches at the LHC, the physics potential focus is now shifting towards the interpretation of nonresonant phenomena. An example of such shift is the increased popularity of the EFT programme. We can embark on such programme owing to the good integrated luminosity and an excellent understanding of the detectors, which will allow these searches to become more intense as the LHC continues. In this paper, we provide a framework to perform this interpretation in terms of a diverse set of scenarios, including (1) generic heavy new physics described at low energies in terms of a derivative expansion, such as in the EFT approach; (2) very light particles with derivative couplings, such as axions or other light pseudo-Goldstone bosons; and (3) the effect of a quasicontinuum of resonances, which can come from a number of strongly coupled theories, extradimensional models, clockwork set-ups, and their deconstructed cousins. These scenarios are not equivalent despite all nonresonance, although the matching among some of them is possible, and we provide it in this paper.

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25

Liu, Shibo, and Marco Squassina. "On the existence of solutions to a fourth-order quasilinear resonant problem." Abstract and Applied Analysis 7, no. 3 (2002): 125–33. http://dx.doi.org/10.1155/s1085337502000805.

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By means of Morse theory we prove the existence of a nontrivial solution to a superlinearp-harmonic elliptic problem with Navier boundary conditions having a linking structure around the origin. Moreover, in case of both resonance near zero and nonresonance at+∞the existence of two nontrivial solutions is shown.

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26

Faria, Teresa. "Normal forms for periodic retarded functional differential equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 127, no. 1 (1997): 21–46. http://dx.doi.org/10.1017/s0308210500023490.

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This paper addresses the computation of normal forms for periodic retarded functional differential equations (FDEs) with autonomous linear part. The analysis is based on the theory previously developed for autonomous retarded FDEs. Adequate nonresonance conditions are derived. As an illustration, the Bogdanov–Takens and the Hopf singularities are considered.

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27

Shimamura, Isao. "Complete separation of resonance and nonresonance channel spaces." Journal of Physics B: Atomic, Molecular and Optical Physics 44, no. 20 (2011): 201002. http://dx.doi.org/10.1088/0953-4075/44/20/201002.

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28

Karpeshin, F. F., M. B. Trzhaskovskaya, and L. F. Vitushkin. "Nonresonance Shake Mechanism in Neutrinoless Double Electron Capture." Physics of Atomic Nuclei 83, no. 4 (2020): 608–12. http://dx.doi.org/10.1134/s1063778820030126.

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29

Adamashvili, G. T., and A. A. Maradudin. "Nonresonance optical breathers in nonlinear and dispersive media." Physical Review E 55, no. 6 (1997): 7712–19. http://dx.doi.org/10.1103/physreve.55.7712.

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30

Berkovits, Juha, and Vesa Mustonen. "On nonresonance for systems of semilinear wave equations." Nonlinear Analysis: Theory, Methods & Applications 29, no. 6 (1997): 627–38. http://dx.doi.org/10.1016/s0362-546x(96)00067-3.

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31

O'Regan, Donal. "Nonresonance and existence for singular boundary-value problems." Nonlinear Analysis: Theory, Methods & Applications 23, no. 2 (1994): 165–86. http://dx.doi.org/10.1016/0362-546x(94)90040-x.

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32

Ma, Ruyun, Hua Luo, and Chenghua Gao. "On Nonresonance Problems of Second-Order Difference Systems." Advances in Difference Equations 2008, no. 1 (2008): 469815. http://dx.doi.org/10.1155/2008/469815.

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33

Garrione, Maurizio, Alessandro Margheri, and Carlota Rebelo. "Nonautonomous nonlinear ODEs: Nonresonance conditions and rotation numbers." Journal of Mathematical Analysis and Applications 473, no. 1 (2019): 490–509. http://dx.doi.org/10.1016/j.jmaa.2018.12.063.

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34

Benchohra, M., J. R. Graef, and A. Ouahabi. "Nonresonance impulsive functional differential inclusions with variable times." Computers & Mathematics with Applications 47, no. 10-11 (2004): 1725–37. http://dx.doi.org/10.1016/j.camwa.2004.06.025.

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35

Nkashama, M. N., and S. B. Robinson. "Resonance and Nonresonance in Terms of Average Values." Journal of Differential Equations 132, no. 1 (1996): 46–65. http://dx.doi.org/10.1006/jdeq.1996.0170.

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36

Wang, Xiuqin. "On a boundary value problem arising in elastic deflection theory." Bulletin of the Australian Mathematical Society 74, no. 3 (2006): 337–45. http://dx.doi.org/10.1017/s0004972700040405.

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In this paper, a finite-difference method for the determination of an approximate solution of a fourth-order two-point boundary value problem is presented under the nonresonance condition. The solution of this linear problem can be used to find approximate solutions of a broad range of nonlinear problems in applications.

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37

Zhang, Fengqin, and Jurang Yan. "Resonance and Nonresonance Periodic Value Problems of First-Order Differential Systems." Discrete Dynamics in Nature and Society 2010 (2010): 1–11. http://dx.doi.org/10.1155/2010/863193.

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Resonance and nonresonance periodic value problems of first-order differential systems are studied. Several new existence and uniqueness of solutions for the above problems are obtained. To establish such results sufficient conditions of limit forms are given. A necessary and sufficient condition for existence of nontrivial solution is also proved.

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38

Ikeda, Masahiro. "Final State Problem for the Dirac-Klein-Gordon Equations in Two Space Dimensions." Abstract and Applied Analysis 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/273959.

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We study the final state problem for the Dirac-Klein-Gordon equations (DKG) in two space dimensions. We prove that if the nonresonance mass condition is satisfied, then the wave operator for DKG is well defined from a neighborhood at the origin in lower order weighted Sobolev space to some Sobolev space.

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39

Adamashvili, G. T. "Optical Nonresonance Vector Solitons in Dispersive and Kerr Media." Open Optics Journal 7, no. 1 (2013): 13–18. http://dx.doi.org/10.2174/1874328501307010013.

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40

del Pino, Manuel A., and Raul F. Manasevich. "Multiple Solutions for the p-Laplacian Under Global Nonresonance." Proceedings of the American Mathematical Society 112, no. 1 (1991): 131. http://dx.doi.org/10.2307/2048489.

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41

Shcheglova, A. A., and I. I. Matveeva. "On the nonresonance property of linear differential-algebraic systems." Differential Equations 48, no. 1 (2012): 26–43. http://dx.doi.org/10.1134/s001226611110041.

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42

Donskaya, I. S., A. R. Kessel’, and S. S. Lapushkin. "Nonresonance spin-lattice absorption of ultrasound in Ising magnets." Physics of the Solid State 39, no. 3 (1997): 448–52. http://dx.doi.org/10.1134/1.1129854.

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43

Sideris, Thomas C. "Nonresonance and Global Existence of Prestressed Nonlinear Elastic Waves." Annals of Mathematics 151, no. 2 (2000): 849. http://dx.doi.org/10.2307/121050.

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44

del Pino, Manuel A., and Ra{úl F. Man{ásevich. "Multiple solutions for the $p$-Laplacian under global nonresonance." Proceedings of the American Mathematical Society 112, no. 1 (1991): 131. http://dx.doi.org/10.1090/s0002-9939-1991-1045589-1.

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45

Benchohra, Mouffak, John Graef, Johnny Henderson, and Sotiris Ntouyas. "Nonresonance impulsive higher order functional nonconvex-valued differential inclusions." Electronic Journal of Qualitative Theory of Differential Equations, no. 13 (2002): 1–13. http://dx.doi.org/10.14232/ejqtde.2002.1.13.

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46

Yukun, An. "Periodic solutions of telegraph–wave coupled system at nonresonance." Nonlinear Analysis: Theory, Methods & Applications 46, no. 4 (2001): 525–33. http://dx.doi.org/10.1016/s0362-546x(00)00127-9.

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47

Yan, Ping. "Nonresonance for one-dimensional p-Laplacian with regular restoring." Journal of Mathematical Analysis and Applications 285, no. 1 (2003): 141–54. http://dx.doi.org/10.1016/s0022-247x(03)00383-4.

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48

Kappeler, T., and S. Kuksin. "Strong nonresonance of Schrödinger operators and an averaging theorem." Physica D: Nonlinear Phenomena 86, no. 3 (1995): 349–62. http://dx.doi.org/10.1016/0167-2789(95)00115-k.

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49

Ding, Zouhua, and Athanassios G. Kartsatos. "Nonresonance problems for differential inclusions in separable Banach spaces." Proceedings of the American Mathematical Society 124, no. 8 (1996): 2357–65. http://dx.doi.org/10.1090/s0002-9939-96-03439-9.

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50

De Coster, C., C. Fabry, and F. Munyamarere. "Nonresonance conditions for fourth order nonlinear boundary value problems." International Journal of Mathematics and Mathematical Sciences 17, no. 4 (1994): 725–40. http://dx.doi.org/10.1155/s0161171294001031.

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This paper is devoted to the study of the problemu(4)=f(t,u,u′,u″,u‴),u(0)=u(2π), u′(0)=u′(2π), u″(0)=u″(2π), u‴(0)=u‴(2π).We assume thatfcan be written under the formf(t,u,u′,u″,u‴)=f2(t,u,u′,u″,u‴)u″+f1(t,u,u′,u″,u‴)u′+f0(t,u,u′,u″,u‴)u+r(t,u,u′,u″,u‴)whereris a bounded function. We obtain existence conditions related to uniqueness conditions for the solution of the linear problemu(4)=au+bu″,u(0)=u(2π), u′(0)=u′(2π), u″(0)=u″(2π), u‴(0)=u‴(2π).

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