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Mathematics, 2022 The modeling and control of nonlinear dynamic systems is challenging in mathematics and engineering [...]
António Lopes, J. Tenreiro Machado
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Nonlinear Dynamic Structures [PDF]
Econometrica, 1993 Summary: The paper develops an approach for analyzing the dynamics of a nonlinear time series that is represented by a nonparametric estimate of its one- step ahead conditional density. The approach entails examination of conditional moment profiles corresponding to certain shocks; a conditional moment profile is the conditional expectation evaluated ...
Gallant, A Ronald +2 more
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p-Regular nonlinear dynamics [PDF]
Doklady Mathematics, 2014 This article is devoted to the investigation of a periodic problem of the following form: \[ \dot{x}=f(\mu, x),\; x(0)=x(\tau),\eqno{(1)} \] where \(f\in C^{p+1} (\mathbb R\times\mathbb R^n)\to \mathbb R^n\) and \(f(\mu,x^\ast)=0\) for all \(\mu\in \mathbb R\).
Medak, Beata, Tret'yakov, Alexey A.
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Nonlinear Dynamics of a Nonlinear Damping Gyroscope and Its Passive Control
Journal of Control Science and Engineering, 2023 This article deals with the analysis of the effects of passive control on the complex dynamics of a nonlinear damping gyroscope. After modeling the gyroscope dynamics under the influence of the control force, using the harmonic balance method, the ...
Semedeton Olivier Hounnan +2 more
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A Hopf physical reservoir computer
Scientific Reports, 2021 Physical reservoir computing utilizes a physical system as a computational resource. This nontraditional computing technique can be computationally powerful, without the need of costly training.
Md Raf E Ul Shougat +3 more
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Friction and nonlinear dynamics [PDF]
Journal of Physics: Condensed Matter, 2016 41 pages, 13 ...
N. Manini +4 more
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Nonlinear DNA dynamics: Nonlinearity versus dispersion [PDF]
Applied Mathematics and Computation, 2013 In the present paper we study the impact of dispersion and nonlinearity on DNA dynamics. We rely on the helicoidal Peyrard-Bishop model and use the fact that nonlinear DNA dynamics represents an interplay between nonlinearity and dispersion. We state that a dispersion coefficient and a coefficient of nonlinearity, existing in nonlinear Schr dinger ...
Zdravković, Slobodan +1 more
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Review of Rotor Balancing Methods
Machines, 2021 This review is dedicated to balancing methods that are used to solve the rotor-balancing problem. To ensure a stable operation over an operating speed range, it is necessary to balance a rotor. The traditional methods, including the influence coefficient
Liqing Li +4 more
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The unpredictable nature of bubble evolution
Scientific Reports, 2022 Unpredictable dynamics arising from a sensitivity to initial conditions is commonly associated with chaos. We demonstrate how similar unpredictability manifests in a nonlinear system that possesses a large number of long-term outcomes, namely the ...
Jack Lawless +4 more
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Nonlinear quantum dynamics [PDF]
, 2006 The vast majority of the literature dealing with quantum dynamics is concerned with linear evolution of the wave function or the density matrix. A complete dynamical description requires a full understanding of the evolution of measured quantum systems, necessary to explain actual experimental results.
Habib, Salman +10 more
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