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Journal articles on the topic 'Non-linear dynamics'

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1

Baradokas, Petras, Edvard Michnevic, and Leonidas Syrus. "LINEAR AND NON‐LINEAR PROBLEMS OF PLATE DYNAMICS." Aviation 11, no. 4 (2007): 9–13. http://dx.doi.org/10.3846/16487788.2007.9635971.

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This paper presents a comparative analysis of linear and non‐linear problems of plate dynamics. By expressing the internal friction coefficient of the material by power polynomial γ= γ0 + γ1ϵ0 + γ2ϵ0 2+…, we assume γ= γ0 = const for a linear problem. When at least two polynomial terms are taken, a non‐linear problem is obtained. The calculations of resonance amplitudes of a rectangular plate yielded 3 per cent error: a linear problem yields a higher resonance amplitude. Using the Ritz method and the theory of complex numbers made the calculations. Similar methods of calculation can be used in
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2

Halmi, Aleksandar. "Chaos and non-linear dynamics." International Social Work 46, no. 1 (2003): 83–101. http://dx.doi.org/10.1177/0020872803046001792.

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3

Pimienta, V., G. Lévy, D. Lavabre, J. P. Laplante, and J. C. Micheau. "Non-linear dynamics in photochemistry." Physica A: Statistical Mechanics and its Applications 188, no. 1-3 (1992): 99–112. http://dx.doi.org/10.1016/0378-4371(92)90257-q.

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4

Zborovsky, Garold E., and Polina A. Ambarova. "From Non-Linear Knowledge to Non-Linear Trust." Sociological Journal 25, no. 3 (2019): 176–87. http://dx.doi.org/10.19181/socjour.2019.25.3.6683.

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This article is devoted to disclosing the idea of trusting knowledge, which is laid out in the monograph “Trusting knowledge in conditions of social turbulence: risks, vulnerabilities, security challenges”. The genre of the article/review allowed for presenting the key positions of the sociological conception and the results of empirical research conducted by the book’s authors (the research team of MGIMO University under the guidance of Professor S.A. Kravchenko), as well as for interpreting them while taking into account our own theoretical and methodological approaches to the phenomenon of
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5

El-Nabulsi, Ahmad Rami. "Non-Linear Dynamics with Non-Standard Lagrangians." Qualitative Theory of Dynamical Systems 12, no. 2 (2012): 273–91. http://dx.doi.org/10.1007/s12346-012-0074-0.

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6

Krishan, S. "Non-linear dynamics of non-neutral plasmas." Plasma Physics and Controlled Fusion 32, no. 13 (1990): 1209–19. http://dx.doi.org/10.1088/0741-3335/32/13/002.

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7

Horn, Joseph. "Non-Linear Dynamic Inversion Control Design for Rotorcraft." Aerospace 6, no. 3 (2019): 38. http://dx.doi.org/10.3390/aerospace6030038.

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Flight control design for rotorcraft is challenging due to high-order dynamics, cross-coupling effects, and inherent instability of the flight dynamics. Dynamic inversion design offers a desirable solution to rotorcraft flight control as it effectively decouples the plant model and effectively handles non-linearity. However, the method has limitations for rotorcraft due to the requirement for full-state feedback and issues with non-minimum phase zeros. A control design study is performed using dynamic inversion with reduced order models of the rotorcraft dynamics, which alleviates the full-sta
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8

Mazzilli, C. E. N., G. C. Monticelli, and N. A. Galan Neto. "Reduced-order modelling in non-linear dynamics: an approach based on non-linear modes." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 225, no. 10 (2011): 2354–68. http://dx.doi.org/10.1177/0954406211410267.

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It is largely accepted that non-linear modes of vibration may be particularly suitable for obtaining ‘reduced-order’ models in non-linear dynamics, for their ability to grasp the essential qualitative system information that a much larger number of linear modes are required to. Previous work by the first author on ‘reduced-order’ modelling in non-linear dynamics did not account for the velocity contents within non-linear modes. For many systems, this simplifying assumption does not, in fact, spoil the quality of the ‘reduced-order’ model. Nevertheless, it is not to be generally taken for grant
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9

Vahidin, Hadžiabdić, Mehuljić Midhat, Bektešević Jasmin, and Metović Sadjit. "Dynamics and Bifurcation for One Non-linear System." Science, Engineering and Technology 3, no. 1 (2023): 67–71. https://doi.org/10.54327/set2023/v3.i1.65.

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In this paper, we observed the ordinary differential equation (ODE) system and determined the equilibrium points. To characterize them, we used the existing theory developed to visualize the behavior of the system. We describe the bifurcation that appears, which is characteristic of higher-dimensional systems, that is when a fixed point loses its stability without colliding with other points. Although it is difficult to determine the whole series of bifurcations that lead to chaos, we can say that it is a common opinion that it is precisely the Hopf bifurcation that leads to chaos when it come
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10

Rana, Rajeshri, Yashwant S. Chauhan, and Ashish Negi. "Non Linear Dynamics of Ishikawa Iteration." International Journal of Computer Applications 7, no. 13 (2010): 43–49. http://dx.doi.org/10.5120/1320-1674.

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11

Gangopadhy, Partha. "Chaotic Discrimination and Non-Linear Dynamics." American Journal of Applied Sciences 2, no. 1 (2005): 440–42. http://dx.doi.org/10.3844/ajassp.2005.440.442.

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12

Janson, Natalia B. "Non-linear dynamics of biological systems." Contemporary Physics 53, no. 2 (2012): 137–68. http://dx.doi.org/10.1080/00107514.2011.644441.

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13

Wickens, A. H. "Non-Linear Dynamics of Railway Vehicles." Vehicle System Dynamics 15, no. 5 (1986): 289–301. http://dx.doi.org/10.1080/00423118608968857.

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14

Villain-Guillot, S., and C. Josserand. "Non-linear dynamics of spinodal decomposition." European Physical Journal B - Condensed Matter 29, no. 2 (2002): 305–9. http://dx.doi.org/10.1140/epjb/e2002-00306-7.

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15

de Carvalho, R. Egydio. "Elements of Non-Linear Hamiltonian Dynamics." Journal of Physics: Conference Series 465 (October 16, 2013): 012016. http://dx.doi.org/10.1088/1742-6596/465/1/012016.

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16

Dutkay, Dorin Ervin, and Palle E. T. Jorgensen. "Wavelet constructions in non-linear dynamics." Electronic Research Announcements of the American Mathematical Society 11, no. 3 (2005): 21–33. http://dx.doi.org/10.1090/s1079-6762-05-00143-5.

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17

Bakri, T., R. Nabergoj, A. Tondl, and F. Verhulst. "Parametric excitation in non-linear dynamics." International Journal of Non-Linear Mechanics 39, no. 2 (2004): 311–29. http://dx.doi.org/10.1016/s0020-7462(02)00190-7.

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18

Guastello, Stephen J. "Non-linear dynamics and leadership emergence." Leadership Quarterly 18, no. 4 (2007): 357–69. http://dx.doi.org/10.1016/j.leaqua.2007.04.005.

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19

Wiercigroch, Marian, and Ekaterina Pavlovskaia. "Non-linear dynamics of engineering systems." International Journal of Non-Linear Mechanics 43, no. 6 (2008): 459–61. http://dx.doi.org/10.1016/j.ijnonlinmec.2008.05.002.

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20

Mareels, Iven M. Y., and Robert R. Bitmead. "Non-linear dynamics in adaptive control." Automatica 24, no. 4 (1988): 485–97. http://dx.doi.org/10.1016/0005-1098(88)90093-3.

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21

Adcock, Chris. "Non-linear dynamics chaos and econometrics." International Journal of Forecasting 11, no. 4 (1995): 599–601. http://dx.doi.org/10.1016/0169-2070(95)90003-9.

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22

Bonilla, Luis L., and Holger T. Grahn. "Non-linear dynamics of semiconductor superlattices." Reports on Progress in Physics 68, no. 3 (2005): 577–683. http://dx.doi.org/10.1088/0034-4885/68/3/r03.

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23

Santamaria, J. "Non-linear dynamics and energy transfer." Journal of Molecular Structure 141 (March 1986): 173–78. http://dx.doi.org/10.1016/0022-2860(86)80321-0.

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24

Yoshimori, Akira. "Non-linear effects on solvation dynamics." Chemical Physics Letters 184, no. 1-3 (1991): 76–80. http://dx.doi.org/10.1016/0009-2614(91)87166-9.

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25

Prostomolotova, E., and I. Erukhimovich. "Non-linear dynamics of spinodal decomposition." Macromolecular Symposia 160, no. 1 (2000): 215–24. http://dx.doi.org/10.1002/1521-3900(200010)160:1<215::aid-masy215>3.0.co;2-d.

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26

Todorova, Grozdena. "Dynamics of non-linear wave equations." Mathematical Methods in the Applied Sciences 27, no. 15 (2004): 1831–41. http://dx.doi.org/10.1002/mma.563.

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27

Piergentili, Paolo, Riccardo Natali, David Vitali, and Giovanni Di Giuseppe. "Two-Membrane Cavity Optomechanics: Linear and Non-Linear Dynamics." Photonics 9, no. 2 (2022): 99. http://dx.doi.org/10.3390/photonics9020099.

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In this paper, we review the linear and non-linear dynamics of an optomechanical system made of a two-membrane etalon in a high-finesse Fabry–Pérot cavity. This two-membrane setup has the capacity to modify on demand the single-photon optomechanical coupling, and in the linearized interaction regime to cool simultaneously two mechanical oscillators. It is a promising platform for realizing cavity optomechanics with multiple resonators. In the non-linear regime, an analytical approach based on slowly varying amplitude equations allows us to derive a consistent and full characterization of the n
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28

Wang, Zheng, and Jianping Yuan. "Non-linear disturbance observer-based adaptive composite anti-disturbance control for non-linear systems with dynamic non-harmonic multisource disturbances." Transactions of the Institute of Measurement and Control 40, no. 12 (2017): 3458–65. http://dx.doi.org/10.1177/0142331217721967.

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In this paper, an adaptive composite anti-disturbance control structure is constructed for a class of non-linear systems with dynamic non-harmonic multisource disturbances. The key point of this paper is that a kind of non-harmonic disturbance, which has non-linear internal dynamics and complex features, is involved. A non-linear exogenous system is employed to describe the dynamic non-harmonic disturbances and several useful assumptions are introduced. By introducing a non-linear damping term, a novel adaptive non-linear disturbance observer is constructed. Based on the disturbance/uncertaint
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29

Boivin, Nicolas, Christophe Pierre, and Steven W. Shaw. "Non-linear normal modes, invariance, and modal dynamics approximations of non-linear systems." Nonlinear Dynamics 8, no. 3 (1995): 315–46. http://dx.doi.org/10.1007/bf00045620.

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30

Bingyong, Guo, and Ringwood John. "Non-Linear Modeling of a Vibro-Impact Wave Energy Converter." IEEE Transactions on Sustainable Energy 12, no. 1 (2020): 492–500. https://doi.org/10.1109/TSTE.2020.3007926.

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This article proposes a non-linear vibro-impact mechanism, integrated inside a semi-submerged cylindrical buoy to form a self-contained and self-referenced vibro-impact wave energy converter (VIWEC), for performance enhancement. A non-linear mathematical model of the VIWEC is derived, considering linear wave-buoy interaction and non-linear vibro-impact mechanics. Numerical simulations are conducted to investigate the influence of the vibro-impact mechanism on the VIWEC&#39;s dynamics and performance. Numerical results conclude that the VIWEC is characterised by a band-pass frequency response a
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31

Pedersen, N. F. "Linear and non-linear flux dynamics in multilayered Bi2Sr2CaCu2Oxsingle crystals." Superconductor Science and Technology 15, no. 3 (2002): 405–10. http://dx.doi.org/10.1088/0953-2048/15/3/323.

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32

Wiberg, Nils-Erik, and Xiangdong Li. "Adaptive finite element procedures for linear and non-linear dynamics." International Journal for Numerical Methods in Engineering 46, no. 10 (1999): 1781–802. http://dx.doi.org/10.1002/(sici)1097-0207(19991210)46:10<1781::aid-nme724>3.0.co;2-7.

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33

Casetti, Emilio, and Kavita Pandit. "The Non Linear Dynamics of Sectoral Shifts." Economic Geography 63, no. 3 (1987): 241. http://dx.doi.org/10.2307/143952.

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34

Piergentili, Paolo, Wenlin Li, Riccardo Natali, Nicola Malossi, David Vitali, and Giovanni Di Giuseppe. "Two-membrane cavity optomechanics: non-linear dynamics." New Journal of Physics 23, no. 7 (2021): 073013. http://dx.doi.org/10.1088/1367-2630/abdd6a.

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35

Fritzkowski, P., and H. Kaminski. "Non-linear dynamics of a hanging rope." Latin American Journal of Solids and Structures 10, no. 1 (2013): 81–90. http://dx.doi.org/10.1590/s1679-78252013000100008.

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36

Carroll, T. L., and F. J. Rachford. "Non-linear dynamics method for target identification." IET Radar, Sonar & Navigation 5, no. 7 (2011): 741. http://dx.doi.org/10.1049/iet-rsn.2010.0381.

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37

Cerutti, S., S. Guzzetti, R. Parola, and M. G. Signorini. "Non-Linear Dynamics of Cardiovascular Variability Signals." Methods of Information in Medicine 33, no. 01 (1994): 81–84. http://dx.doi.org/10.1055/s-0038-1634981.

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Abstract:Long-term regulation of beat-to-beat variability involves several different kinds of controls. A linear approach performed by parametric models enhances the short-term regulation of the autonomic nervous system. Some non-linear long-term regulation can be assessed by the chaotic deterministic approach applied to the beat-to-beat variability of the discrete RR-interval series, extracted from the ECG. For chaotic deterministic systems, trajectories of the state vector describe a strange attractor characterized by a fractal of dimension D. Signals are supposed to be generated by a determ
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38

Tsubota, M. "Non-Linear Spin Dynamics in uudd 3He." Progress of Theoretical Physics 79, no. 1 (1988): 47–60. http://dx.doi.org/10.1143/ptp.79.47.

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39

Ogilvie, G. I. "Non-linear fluid dynamics of eccentric discs." Monthly Notices of the Royal Astronomical Society 325, no. 1 (2001): 231–48. http://dx.doi.org/10.1046/j.1365-8711.2001.04416.x.

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40

Balmforth, N. J., and D. G. Korycansky. "Non-linear dynamics of the corotation torque." Monthly Notices of the Royal Astronomical Society 326, no. 3 (2001): 833–51. http://dx.doi.org/10.1046/j.1365-8711.2001.04619.x.

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41

Baudille, Riccardo, Marco Evangelos Biancolini, and Ernesto Mottola. "Non-linear models of reed valve dynamics." International Journal of Vehicle Systems Modelling and Testing 4, no. 3 (2009): 150. http://dx.doi.org/10.1504/ijvsmt.2009.029387.

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42

Thompson, C. J., B. J. P. Thompson, and B. Hocking. "Optimizing Work Performance Using Non-linear Dynamics." Asia Pacific Journal of Human Resources 36, no. 3 (1999): 102–7. http://dx.doi.org/10.1177/103841119903600309.

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43

Galvanetto, Ugo. "Non-linear dynamics of multiple friction oscillators." Computer Methods in Applied Mechanics and Engineering 178, no. 3-4 (1999): 291–306. http://dx.doi.org/10.1016/s0045-7825(99)00021-3.

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44

Ibrahimbegovic, Adnan, Robert L. Taylor, and H. Lim. "Non-linear dynamics of flexible multibody systems." Computers & Structures 81, no. 12 (2003): 1113–32. http://dx.doi.org/10.1016/s0045-7949(03)00032-4.

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45

Rew, David A. "Tumour biology, chaos and non-linear dynamics." European Journal of Surgical Oncology (EJSO) 25, no. 1 (1999): 86–89. http://dx.doi.org/10.1053/ejso.1998.0606.

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46

Imregun, M. "Special Issue on Non-linear Structural Dynamics." Mechanical Systems and Signal Processing 23, no. 1 (2009): 5–7. http://dx.doi.org/10.1016/j.ymssp.2008.09.001.

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47

Larsen, J. W., and S. R. K. Nielsen. "Non-linear dynamics of wind turbine wings." International Journal of Non-Linear Mechanics 41, no. 5 (2006): 629–43. http://dx.doi.org/10.1016/j.ijnonlinmec.2006.01.003.

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48

Minkina, Waldemar. "Non-linear models of temperature sensor dynamics." Sensors and Actuators A: Physical 30, no. 3 (1992): 209–14. http://dx.doi.org/10.1016/0924-4247(92)80122-j.

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49

Eliseyev, V. V. "The non-linear dynamics of elastic rods." Journal of Applied Mathematics and Mechanics 52, no. 4 (1988): 493–98. http://dx.doi.org/10.1016/0021-8928(88)90039-1.

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50

Lipniacki, T. "Non-linear mechanical model of DNA dynamics." Il Nuovo Cimento D 20, no. 6 (1998): 833–43. http://dx.doi.org/10.1007/bf03185484.

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