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Journal articles on the topic 'Auxiliary dynamics'

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1

Zakharov, A. Yu, M. A. Zakharov, and V. V. Zubkov. "PRINCIPLES OF RELATIVISTIC MOLECULAR DYNAMICS." Vestnik NovSU, no. 3 (2024): 425–35. https://doi.org/10.34680/2076-8052.2024.3(137).425-435.

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A relativistic dynamic theory of a system of interacting atoms is constructed based on the concept of an auxiliary field. Variational formulation of problems of relativistic molecular dynamics. An exact closed relativistic system of equations is obtained that describes the evolution of the system of atoms and the auxiliary field. An analysis of the qualitative properties of solutions to the system dynamics equations has been carried out.
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2

Zakharov, Anatoly Yu. "Field Form of the Dynamics of Classical Many- and Few-Body Systems: From Microscopic Dynamics to Kinetics, Thermodynamics and Synergetics." Quantum Reports 4, no. 4 (2022): 533–43. http://dx.doi.org/10.3390/quantum4040038.

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A method is proposed for describing the dynamics of systems of interacting particles in terms of an auxiliary field, which in the static mode is equivalent to given interatomic potentials, and in the dynamic mode is a classical relativistic composite field. It is established that for interatomic potentials, the Fourier transform of which is a rational algebraic function of the wave vector, the auxiliary field is a composition of elementary fields that satisfy the Klein-Gordon equation with complex masses. The interaction between particles carried by the auxiliary field is nonlocal both in spac
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3

Zakharov, Anatoly Yu, and Victor V. Zubkov. "Field-Theoretical Representation of Interactions between Particles: Classical Relativistic Probability-Free Kinetic Theory." Universe 8, no. 5 (2022): 281. http://dx.doi.org/10.3390/universe8050281.

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It was proven that the class of stable interatomic potentials can be represented exactly as a superposition of Yukawa potentials. In this paper, an auxiliary scalar field was introduced to describe the dynamics of a system of neutral particles (atoms) in the framework of classical field theory. In the case of atoms at rest, this field is equivalent to the interatomic potential, but in the dynamic case, it describes the dynamics of a system of atoms interacting through a relativistic classical field. A relativistic Lagrangian is proposed for a system consisting of atoms and an auxiliary scalar
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4

Keogh, P. S., and M. O. T. Cole. "Contact Dynamic Response With Misalignment in a Flexible Rotor/Magnetic Bearing System." Journal of Engineering for Gas Turbines and Power 128, no. 2 (2004): 362–69. http://dx.doi.org/10.1115/1.2056530.

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This paper investigates the vibration characteristics of rotor displacement signals in a magnetic bearing system under conditions when rotor contact with auxiliary bearings is possible. Since these signals may be used for feedback control, it is necessary to determine how they may affect the ability of the controller to regain rotor levitation. An experimental system is used to demonstrate the sensitivity of the rotor nonlinear dynamic behavior to unbalance, which is sufficient to cause contact during rotor run-up through rigid-body and flexural mode critical speeds. Complex rotor dynamics may
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5

Mu�oz, Gerardo, and William S. Burgett. "Auxiliary ghost fields in statistical dynamics." Journal of Statistical Physics 56, no. 1-2 (1989): 59–68. http://dx.doi.org/10.1007/bf01044231.

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6

Zakharov, Anatoly Yu, and Maxim A. Zakharov. "Relativistic model of interatomic interactions in condensed systems." Kondensirovannye sredy i mezhfaznye granitsy = Condensed Matter and Interphases 25, no. 4 (2023): 494–504. http://dx.doi.org/10.17308/kcmf.2023.25/11480.

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A method was proposed to describe the dynamics of systems of interacting atoms in terms of an auxiliary field. The field is equivalent to the specified interatomic potentials at rest, and represents the classical relativistic field under dynamic conditions. It was determined that for central interatomic potentials, allowing for the Fourier transform, the auxiliary field is a superposition of elementary fields satisfying the Klein-Gordon-Fock equation with complex mass parameters
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7

Ebrahimi, Reza, Mostafa Ghayour, and Heshmatallah Mohammad Khanlo. "Effects of some design parameters on bifurcation behavior of a magnetically supported coaxial rotor in auxiliary bearings." Engineering Computations 34, no. 7 (2017): 2379–95. http://dx.doi.org/10.1108/ec-04-2017-0141.

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Purpose This paper aims to present bifurcation analysis of a magnetically supported coaxial rotor model in auxiliary bearings, which includes gyroscopic moments of disks and geometric coupling of the magnetic actuators. Design/methodology/approach Ten nonlinear equations of motion were solved using the Runge–Kutta method. The vibration responses were analyzed using dynamic trajectories, power spectra, Poincaré maps, bifurcation diagrams and the maximum Lyapunov exponent. The analysis was carried out for different system parameters, namely, the inner shaft stiffness, inter-rotor bearing stiffne
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8

Amador, A., N. Bagatella, R. Cordero, and E. Rojas. "Auxiliary fields in the geometrical relativistic particle dynamics." Journal of Physics A: Mathematical and Theoretical 41, no. 11 (2008): 115401. http://dx.doi.org/10.1088/1751-8113/41/11/115401.

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9

Alshehry, Azzh Saad, Humaira Yasmin, Muhammad Wakeel Ahmad, Asfandyar Khan, and Rasool Shah. "Optimal Auxiliary Function Method for Analyzing Nonlinear System of Belousov–Zhabotinsky Equation with Caputo Operator." Axioms 12, no. 9 (2023): 825. http://dx.doi.org/10.3390/axioms12090825.

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This paper introduces the optimal auxiliary function method (OAFM) for solving a nonlinear system of Belousov–Zhabotinsky equations. The system is characterized by its complex dynamics and is treated using the Caputo operator and concepts from fractional calculus. The OAFM provides a systematic approach to obtain approximate analytical solutions by constructing an auxiliary function. By optimizing the parameters of the auxiliary function, an approximate solution is derived that closely matches the behavior of the original system. The effectiveness and accuracy of the OAFM are demonstrated thro
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10

Shchelchkov, Kirill Aleksandrovich. "Relative optimality in nonlinear differential games with discrete control." Sbornik: Mathematics 214, no. 9 (2023): 1337–50. http://dx.doi.org/10.4213/sm9851e.

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Two control problems with an obstacle that is the second player in a differential game are considered. The dynamics in the first problem is described by a nonlinear system of differential equations of the first order, whereas the dynamics in the second is described by a nonlinear system of differential equations of the second order. A piecewise constant control with finite set of values is used. The control is aimed at moving arbitrarily closely to a finite trajectory described by an auxiliary control system of simple form, for any actions of the obstacle. For both problems phase constraints o
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11

Atkinson, C., J. M. Bastero, and I. Miranda. "Path-independent integrals in fracture dynamics using auxiliary fields." Engineering Fracture Mechanics 25, no. 1 (1986): 53–62. http://dx.doi.org/10.1016/0013-7944(86)90203-1.

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12

Stumpf, Harald. "Covariant Regularization of Nonlinear Spinorfield Quantum Theories and Probability Interpretation." Zeitschrift für Naturforschung A 55, no. 3-4 (2000): 415–32. http://dx.doi.org/10.1515/zna-2000-3-408.

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Abstract By a decomposition theorem a higher order nonlinear spinorfield equation can be transformed into a set of first order nonlinear spinorfield equations, i. e. into an auxiliary field formulation which allows canonical quantization. The quantum dynamics of the auxiliary fields is expressed in algebraic Schrödinger representation and admits only unphysical state spaces with indefinite metric. Regularization of the classical theory is transferred into quantum field theory by a noninvertible map from the corresponding auxiliary field state space into an associated physical state space, the
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13

de la Sen, M., and Ningsu Luo. "On the uniform exponential stability of linear time-delay systems." International Journal of Mathematics and Mathematical Sciences 2004, no. 64 (2004): 3445–67. http://dx.doi.org/10.1155/s016117120430918x.

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This paper deals with the global uniform exponential stability independent of delay of time-delay linear and time-invariant systems subject to point and distributed delays for the initial conditions being continuous real functions except possibly on a set of zero measure of bounded discontinuities. It is assumed that the delay-free system as well as an auxiliary one are globally uniformly exponentially stable and globally uniform exponential stability independent of delay, respectively. The auxiliary system is, typically, part of the overall dynamics of the delayed system but not necessarily t
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14

Zakharov, A. Yu. "Classical relativistic dynamics of a system of interacting atoms: Hamiltonian form." Vestnik NovSU, no. 1 (2025): 91–99. https://doi.org/10.34680/2076-8052.2025.1(139).91-99.

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The paper contains generalization of the nonrelativistic classical Hamiltonian dynamics of a system of interacting particles to the case of a relativistic theory. The interaction between atoms is taken into account within the concept of a covariant auxiliary field, which is equivalent to instantaneous interatomic potentials only in the nonrelativistic limit. It is established that the auxiliary field is a superposition of elementary fields, each of which satisfies the Klein-Gordon-Fock type equations. The real and complex forms of the relativistic Hamiltonian of a system of interacting particl
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15

Sodikin. "The Existence of the Corruption Eradication Commission in the Dynamics of Indonesian Constitutional." INTERNATIONAL JOURNAL OF MULTIDISCIPLINARY RESEARCH AND ANALYSIS 06, no. 02 (2023): 584–90. https://doi.org/10.5281/zenodo.7632137.

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The Indonesian constitutional system recognizes the existence of state institutions that are not expressly defined in the 1945 Constitution. These institutions are known as state auxiliary organs or state auxiliary institutions or auxiliary state institutions which are state institutions that are supporting. One of the auxiliary institutions formed during the reform era in Indonesia is the Corruption Eradication Commission. This institution was formed as a part of the corruption eradication agenda which is one of the most important agendas in reforming governance in Indonesia. The problem rega
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16

Averboukh, Yu V. "Markov approximations of nonzero-sum differential games." Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki 30, no. 1 (2020): 3–17. http://dx.doi.org/10.35634/vm200101.

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The paper is concerned with approximate solutions of nonzero-sum differential games. An approximate Nash equilibrium can be designed by a given solution of an auxiliary continuous-time dynamic game. We consider the case when dynamics is determined by a Markov chain. For this game the value function is determined by an ordinary differential inclusion. Thus, we obtain a construction of approximate equilibria with the players' outcome close to the solution of the differential inclusion. Additionally, we propose a way of designing a continuous-time Markov game approximating the original dynamics.
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17

Yamanin, A. I. "Features of the dynamics of engines with crank mechanism “Pancake”." Transactions of the Krylov State Research Centre S-I, no. 1 (2021): 106–8. http://dx.doi.org/10.24937/2542-2324-2021-1-s-i-106-108.

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18

Mrzljak, Vedran, Jasna Prpić-Oršić, and Tomislav Senčić. "Change in Steam Generators Main and Auxiliary Energy Flow Streams During the Load Increase of LNG Carrier Steam Propulsion System." Pomorstvo 32, no. 1 (2018): 121–31. http://dx.doi.org/10.31217/p.32.1.15.

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In this paper is presented an analysis of main and auxiliary steam energy flow streams from steam generators during the increase in steam system load at conventional LNG carrier. During the steam system load increase was presented differences in steam pressure and temperature between main and auxiliary steam flow streams. Energy power of the auxiliary flow stream is higher than energy power of the main flow stream only at the lowest steam system loads after which main flow stream takes over primacy at middle and high steam system loads. Cumulative auxiliary energy flow stream was divided on en
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19

Marinca, Bogdan, Vasile Marinca, and Ciprian Bogdan. "Dynamics of SEIR epidemic model by optimal auxiliary functions method." Chaos, Solitons & Fractals 147 (June 2021): 110949. http://dx.doi.org/10.1016/j.chaos.2021.110949.

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20

Rosen, A., R. G. Loewy, and M. B. Mathew. "Unified treatment for dealing with auxiliary conditions in blade dynamics." AIAA Journal 29, no. 6 (1991): 968–76. http://dx.doi.org/10.2514/3.10687.

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21

Litwin, Douglas B., David M. MacLean, and Vasanthi Jayaraman. "Reduced Structural Dynamics in Kainate Receptors through Auxiliary Protein Modulation." Biophysical Journal 112, no. 3 (2017): 419a. http://dx.doi.org/10.1016/j.bpj.2016.11.2242.

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22

Ray, Ushnish, and Garnet Kin-Lic Chan. "Constructing auxiliary dynamics for nonequilibrium stationary states by variance minimization." Journal of Chemical Physics 152, no. 10 (2020): 104107. http://dx.doi.org/10.1063/1.5143144.

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23

Sieffert, Nicolas, Thomas Kendrick, Davide Tiana, and Carole A. Morrison. "First principles static and dynamic calculations for the transition metal hydride series MH4L3 (M = Fe, Ru and Os; L = NH3, PH3 and PF3)." Dalton Transactions 44, no. 9 (2015): 4259–70. http://dx.doi.org/10.1039/c4dt02475c.

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24

Wang, Ziming, Chunliang Qiu, Zaopeng Dong, Shaobo Cheng, Long Zheng, and Shunhuai Chen. "Trajectory Tracking of Unmanned Surface Vessels Based on Robust Neural Networks and Adaptive Control." Journal of Marine Science and Engineering 13, no. 7 (2025): 1341. https://doi.org/10.3390/jmse13071341.

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In this paper, a robust neural adaptive controller is proposed for the trajectory tracking control problem of unmanned surface vessels (USVs), considering model uncertainty, time-varying environmental disturbance, and actuator saturation. First, measurement errors in acceleration signals are eliminated through filtering techniques and a series of auxiliary variables, and after linearly parameterizing the USV dynamic model, a parameter adaptive update law is developed based on Lyapunov’s second method to estimate unknown dynamic parameters in the USV dynamics model. This parameter adaptive upda
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25

Ginzinger, Lucas, Roland Zander, and Heinz Ulbrich. "Controller Design for a Rubbing Rotor." Solid State Phenomena 147-149 (January 2009): 203–14. http://dx.doi.org/10.4028/www.scientific.net/ssp.147-149.203.

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A new approach to control a rubbing rotor by applying an active auxiliary bearing is developed. The auxiliary bearing is attached to the foundation via two unidirectional actuators. The control force is applied indirectly using the active auxiliary bearing only in case of rubbing. A framework for the development of a feedback controller for an active auxiliary bearing is presented. The theory of a robust two-phase control strategy which guarantees a smooth transition from free rotor motion to the state of full annular rub is presented. A simulation environment for the elastic rotor and the aux
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26

O’Connor, Helen M., Marco Coletta, Alvaro Etcheverry-Berríos, Gary S. Nichol, Euan K. Brechin, and Paul J. Lusby. "Kinetic selection of Pd4L2 metallocyclic and Pd6L3 trigonal prismatic assemblies." Chemical Communications 56, no. 79 (2020): 11799–802. http://dx.doi.org/10.1039/d0cc05311b.

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27

Yan, Jie, Xiaxia Kang, and Ling Yang. "The Trade-Off Mechanism in Mammalian Circadian Clock Model with Two Time Delays." International Journal of Bifurcation and Chaos 27, no. 09 (2017): 1750147. http://dx.doi.org/10.1142/s0218127417501474.

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Circadian clock is an autonomous oscillator which orchestrates the daily rhythms of physiology and behaviors. This study is devoted to explore how a positive feedback loop affects the dynamics of mammalian circadian clock. We simplify an experimentally validated mathematical model in our previous work, to a nonlinear differential equation with two time delays. This simplified mathematical model incorporates the pacemaker of mammalian circadian clock, a negative primary feedback loop, and a critical positive auxiliary feedback loop, [Formula: see text] loop. We perform analytical studies of the
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28

Wu, Jo-Ti, Jiahn-Horng Chen, Ching-Yeh Hsin, and Forng-Chen Chiu. "Dynamics of The FKT System with Different Mooring Lines." Polish Maritime Research 26, no. 1 (2019): 20–29. http://dx.doi.org/10.2478/pomr-2019-0003.

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Abstract To harness the endless hydrokinetic energy of the Kuroshio current, the joint research team of the National Taiwan University and the National Taiwan Ocean University has developed a floating Kuroshio turbine (FKT) system in Taiwan. In normal operation, the system floats at a certain small depth from the ocean surface to reduce the wave effects and take advantage of faster current speeds. In the present study, the effect of the mooring line on the system dynamics is investigated computationally. Two different auxiliary mooring line designs and, for each design, three different common
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29

Dimitrijevic, Marko, Dragoljub Dimitrijevic, Goran Djordjevic, and Milan Milosevic. "Constrained dynamics of tachyon field in FRWL spacetime." Facta universitatis - series: Physics, Chemistry and Technology 17, no. 1, spec.issue (2019): 21–30. http://dx.doi.org/10.2298/fupct1901021d.

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In this paper, we continue the study of tachyon scalar field described by a Dirac-Born-Infeld (DBI) type action with constraints in the cosmological context. The proposed extension of the system introducing an auxiliary field in the minisuperspace framework is discussed. A new equivalent set of constraints is constructed, satisfying the usual regularity conditions.
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Qiu, Bingbing, Guofeng Wang, Yunsheng Fan, Dongdong Mu, and Xiaojie Sun. "Adaptive Sliding Mode Trajectory Tracking Control for Unmanned Surface Vehicle with Modeling Uncertainties and Input Saturation." Applied Sciences 9, no. 6 (2019): 1240. http://dx.doi.org/10.3390/app9061240.

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In the presence of modeling uncertainties and input saturation, this paper proposes a practical adaptive sliding mode control scheme for an underactuated unmanned surface vehicle (USV) using neural network, auxiliary dynamic system, sliding mode control and backstepping technique. First, the radial basis function neural network with minimum learning parameter method (MLP) is constructed to online approximate the uncertain system dynamics, which uses single parameter instead of all weights online learning, leading to a reduction in the computational burdens. Then a hyperbolic tangent function i
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31

Nahid, Shahriar Muhammad, Shahriar Nahian, Mohammad Motalab, Tawfiqur Rakib, Satyajit Mojumder, and Md Mahbubul Islam. "Tuning the mechanical properties of silicene nanosheet by auxiliary cracks: a molecular dynamics study." RSC Advances 8, no. 53 (2018): 30354–65. http://dx.doi.org/10.1039/c8ra04728f.

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32

Tang, Renxuan, and Dongfang Li. "On Symmetrical Methods for Charged Particle Dynamics." Symmetry 13, no. 9 (2021): 1626. http://dx.doi.org/10.3390/sym13091626.

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In this paper, we use the scalar auxiliary variable (SAV) approach to rewrite the charged particle dynamics as a new family of ODE systems. The systems own a conserved energy. It is shown that a family of symmetrical methods is energy-conserving for a new ODE system but may not be for the original systems. Moreover, the methods have high-order accuracy. Numerical results are given to confirm the theoretical findings.
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33

Inayat-Hussain, Jawaid I. "Nonlinear dynamics of a magnetically supported rigid rotor in auxiliary bearings." Mechanism and Machine Theory 45, no. 11 (2010): 1651–67. http://dx.doi.org/10.1016/j.mechmachtheory.2010.06.006.

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34

Wang, X., and S. Noah. "Nonlinear Dynamics of a Magnetically Supported Rotor on Safety Auxiliary Bearings." Journal of Vibration and Acoustics 120, no. 2 (1998): 596–606. http://dx.doi.org/10.1115/1.2893869.

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This study concerns the dynamic response of a rotor landed on auxiliary (catcher) bearings in an Active Magnetic Bearing (AMB) supported rotor, following postulated loss of power or overload of the AMB. An analytical model involving a disk, a shaft and auxiliary bearings on damped flexible supports is constructed and appropriate equations of the nonlinear dynamic system are developed. The equations include a switch function to indicate contact/non-contact events and determine the existence of contact normal forces and tangential friction forces between the shaft and the bearings. Steady state
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35

Lawen, J. L., and G. T. Flowers. "Interaction Dynamics Between a Flexible Rotor and an Auxiliary Clearance Bearing." Journal of Vibration and Acoustics 121, no. 2 (1999): 183–89. http://dx.doi.org/10.1115/1.2893962.

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This study investigates the application of synchronous interaction dynamics methodology to the design of auxiliary bearing systems. The technique is applied to a flexible rotor system and comparisons are made between the behavior predicted by this analysis method and the observed simulation response characteristics. Of particular interest is the influence of coupled shaft/bearing vibration modes on rotordynamical behavior. Experimental studies are also performed to validate the simulation results and provide insight into the expected behavior of such a system.
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36

Inayat-Hussain, Jawaid I. "Nonlinear Dynamics of a Magnetically Supported Flexible Rotor in Auxiliary Bearings." Journal of Physics: Conference Series 1489 (March 2020): 012015. http://dx.doi.org/10.1088/1742-6596/1489/1/012015.

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37

Torno, Susana, and Javier Toraño. "Methane Emission Outbursts in the Mine Face of Two Galleries: Computational Fluid Dynamics Analysis and On-Site Calibration." Energies 16, no. 21 (2023): 7298. http://dx.doi.org/10.3390/en16217298.

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Numerous cases of serious accidents related to methane outbursts exist worldwide. Due to their disastrous consequences, a vast quantity of research on underground gas explosions has been conducted using conventional models and laboratory tests, as performing studies at explosion sites is difficult. When conventional models are employed, the results are poor since these models are based on calculations at fixed times for a single point of a single section of an underground space. Computational fluid dynamics (CFD) analysis is necessary to calibrate these models, using measurements obtained in g
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38

Song, Shuan Jun, and Dan Feng Shen. "Synthetic Flow-Field Analysis of Main and Auxiliary Nozzles in Air-Jet Looms." Advanced Materials Research 411 (November 2011): 16–20. http://dx.doi.org/10.4028/www.scientific.net/amr.411.16.

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The synthetic flow-field model of main and auxiliary nozzle flow-field in air-jet loom is introduced. The software of computational fluid dynamics FLUENT is used for the first time to simulate synthetic flow-field, and velocity vector is analyzed. To different spray angles of auxiliary nozzle, the velocity and total pressure of central air are compared in brief. The boundary conditions are changed by User Defined Functions (UDF) and the comparison analysis is done before and after using UDF.
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39

Iswandi, Kelik. "Extending the Legal Standing on Authority Disputes at the Indonesian Constitutional Court." Constitutionale 4, no. 2 (2023): 137–46. http://dx.doi.org/10.25041/constitutionale.v4i2.3167.

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The growth of state auxiliary organs increases the possibility of conflicting authority. Regrettably, the Indonesian Constitutional Court can only settle authority disputes between constitutional state organs. It is based on Article 24C 1945 Constitution jo. Article 61 Constitutional Court Act 2003 jo. Article 2 Constitutional Court Regulation No. 08/PMK/2006. Thus, how does does authority dispute resolution involve state auxiliary organs? This subject is addressed by normative legal research, which examines secondary evidence in the form of laws, Constitutional Court decisions, and doctrines.
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40

Mitrouskas, David, Sören Petrat, and Peter Pickl. "Bogoliubov corrections and trace norm convergence for the Hartree dynamics." Reviews in Mathematical Physics 31, no. 08 (2019): 1950024. http://dx.doi.org/10.1142/s0129055x19500247.

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We consider the dynamics of a large number [Formula: see text] of nonrelativistic bosons in the mean field limit for a class of interaction potentials that includes Coulomb interaction. In order to describe the fluctuations around the mean field Hartree state, we introduce an auxiliary Hamiltonian on the [Formula: see text]-particle space that is similar to the one obtained from Bogoliubov theory. We show convergence of the auxiliary time evolution to the fully interacting dynamics in the norm of the [Formula: see text]-particle space. This result allows us to prove several other results: conv
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41

Wu, Changgui, and Liang Zhao. "Finite-time adaptive dynamic surface control for output feedback nonlinear systems with unmodeled dynamics and quantized input delays." AIMS Mathematics 9, no. 11 (2024): 31553–80. http://dx.doi.org/10.3934/math.20241518.

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<p>We delved into a category of output feedback nonlinear systems that are distinguished by unmodeled dynamics, quantized input delays, and dynamic uncertainties. We introduce a novel finite-time adaptive dynamic surface control scheme developed through the construction of a first-order nonlinear filter. This approach integrates Young's inequality with neural network technologies. Then, to address unmodeled dynamics, the scheme incorporates a dynamic signal and utilizes Radial Basis Function (RBF) neural networks to approximate unknown smooth functions. Furthermore, an auxiliary function
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42

Zhang, Yihan, Zhi Zhang, Qiao Su, Chaoyue Wu, Yuqi Zhang, and Daoyi Chen. "Enhancing Kármán Vortex Street Detection via Auxiliary Networks Incorporating Key Atmospheric Parameters." Atmosphere 16, no. 3 (2025): 338. https://doi.org/10.3390/atmos16030338.

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Kármán vortex streets are quintessential phenomena in fluid dynamics, manifested by the periodic shedding of vortices as airflow interacts with obstacles. The genesis and characteristics of these vortex structures are significantly influenced by various atmospheric parameters, including temperature, humidity, pressure, and wind velocities, which collectively dictate their formation conditions, spatial arrangement, and dynamic behavior. Although deep learning methodologies have advanced the automated detection of Kármán vortex streets in remote sensing imagery, existing approaches largely empha
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43

Carstea, A. S. "Reaction–diffusion–convection equations in two spatial dimensions; continuous and discrete dynamics." Modern Physics Letters B 35, no. 10 (2021): 2150186. http://dx.doi.org/10.1142/s0217984921501864.

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In this paper, we investigate some two-dimensional (with respect to spatial independent variables) reaction–diffusion–convection equations with various nonlinear (reaction) terms. Using Hirota bilinear formalism with a free auxiliary function, we obtain kink solutions and many spatio-temporal discretizations having birational form.
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44

Zhang, Wenzhi, Li He, Hongwei Wang, Liang Yuan, and Wendong Xiao. "Multiple Self-Supervised Auxiliary Tasks for Target-Driven Visual Navigation Using Deep Reinforcement Learning." Entropy 25, no. 7 (2023): 1007. http://dx.doi.org/10.3390/e25071007.

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Visual navigation based on deep reinforcement learning requires a large amount of interaction with the environment, and due to the reward sparsity, it requires a large amount of training time and computational resources. In this paper, we focus on sample efficiency and navigation performance and propose a framework for visual navigation based on multiple self-supervised auxiliary tasks. Specifically, we present an LSTM-based dynamics model and an attention-based image-reconstruction model as auxiliary tasks. These self-supervised auxiliary tasks enable agents to learn navigation strategies dir
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45

Cole, M. O. T., and P. S. Keogh. "Rotor vibration with auxiliary bearing contact in magnetic bearing systems Part 2: Robust synchronous control for rotor position recovery." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 217, no. 4 (2003): 393–409. http://dx.doi.org/10.1243/095440603321509685.

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A number of conditions or events may produce rotor motion that involves contact with auxiliary bearings. Standard adaptive and closed-loop control strategies based on linear dynamics can cause instability when contact occurs, resulting in increased contact forces and vibration compared with the uncontrolled case. This paper introduces a method for robust control of synchronous vibration components that can maintain dynamic stability during interaction between the rotor and auxiliary bearings. The controllers are designed to minimize the severity and duration of contact and ensure that the roto
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46

Chen, Tim, N. Kapronand, C. Y. Hsieh, and J. Cy Chen. "Evolved auxiliary controller with applications to aerospace." Aircraft Engineering and Aerospace Technology 93, no. 4 (2021): 529–43. http://dx.doi.org/10.1108/aeat-12-2019-0233.

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Purpose To guarantee the asymptotic stability of discrete-time nonlinear systems, this paper aims to propose an evolved bat algorithm fuzzy neural network (NN) controller algorithm. Design/methodology/approach In evolved fuzzy NN modeling, the NN model and linear differential inclusion representation are established for the arbitrary nonlinear dynamics. The control problems of the Fisher equation and a temperature cooling fin for high-speed aerospace vehicles will be described and demonstrated. The signal auxiliary controlled system is represented for the nonlinear parabolic partial differenti
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Jiang, Yufan. "Biomechanical Analysis and Mobility Improvement of Auxiliary Mobile Equipment." Academic Journal of Science and Technology 8, no. 3 (2023): 128–31. http://dx.doi.org/10.54097/h1mh9c33.

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As an advanced auxiliary mobile device, exoskeleton booster has attracted wide attention in the field of rehabilitation and life assistance. Through biomechanical analysis, this paper discusses the effect of exoskeleton booster on user mobility. Using biomechanical tools such as kinematics, dynamics and muscle mechanics, this paper deeply studies the influence of exoskeleton booster in different motion States, and verifies its biomechanical effect through simulation and experiment. Firstly, this paper analyzes the influence of exoskeleton booster on gait from the perspective of kinematics. The
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48

Liu, Weiyu, Bowei Xu, and Junjun Li. "Data-Driven Carbon Emission Dynamics Under Ship In-Port Congestion." Journal of Marine Science and Engineering 13, no. 4 (2025): 812. https://doi.org/10.3390/jmse13040812.

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Berthing operation heterogeneity across ship types causes significant uncertainty in assessing port congestion and carbon emissions over comparable timeframes. This study quantifies in-port emission dynamics for four cargo ship types (container, liquid bulk, dry bulk, and general cargo) using an operational phase-specific emission accounting model. We propose a hybrid deep learning model that integrates Two-Dimensional Convolutional Neural Networks (2DCNN) with Squeeze-and-Excitation Attention Mechanisms (SEAM) and Bidirectional Long Short-Term Memory Networks (BiLSTM) layers, optimized via th
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Pan, Changzhong, Hongsen Pu, Zhijing Li, and Jinsen Xiao. "A Gradient Dynamics-Based Singularity Avoidance Method for Backstepping Control of Underactuated TORA Systems." Sensors 24, no. 17 (2024): 5458. http://dx.doi.org/10.3390/s24175458.

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In this paper, a gradient dynamics-based control method is proposed to directly tackle the singularity problem in the backstepping control design of the TORA system. This method is founded upon the construction of an energy-like positive function, which includes an auxiliary variable in terms of the intermediate virtual control law. On this basis, a gradient dynamics is created to obtain a new virtual control command, which is capable of making the auxiliary variable gradually approach zero, thereby mitigating the issue of division by zero. The core innovation is the integration of the gradien
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Xu, Yun, Jun Chen, Dong Quan Chen, and Jin Shan Sun. "MULTISCALE SIMULATION OF MICROCRACK BASED ON A NEW ADAPTIVE FINITE ELEMENT METHOD." International Journal of Modern Physics B 24, no. 15n16 (2010): 2719–24. http://dx.doi.org/10.1142/s0217979210065520.

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In this paper, a new adaptive finite element (FE) framework based on the variational multiscale method is proposed and applied to simulate the dynamic behaviors of metal under loadings. First, the extended bridging scale method is used to couple molecular dynamics and FE. Then, macro damages evolvements of those micro defects are simulated by the adaptive FE method. Some auxiliary strategies, such as the conservative mesh remapping, failure mechanism and mesh splitting technique are also included in the adaptive FE computation. Efficiency of our method is validated by numerical experiments.
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