Results 21 to 30 of about 1,514,651 (306)
Dimensional Characteristics of Diffusion Chaos
The phenomenon of multimode diffusion chaos is considered. For a number of examples it is shown that the Lyapunov dimension of the attractor of a distributed dynamical system increases as the diffusion coefficient tends to 0.
S. D. Glyzin
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Lyapunov functions for linear nonautonomous dynamical equations on time scales [PDF]
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly bounded ...
Peter E. Kloeden +3 more
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THE INFLUENCE OF THE STIFFNESS COEFFICIENT OF THE HYDRAULIC LIQUID ON THE DYNAMICAL BEHAVIOUR OF THE SYSTEM “HYDRAULIC CYLINDER – LOAD” [PDF]
In this paper we suggest a way how to determine the stiffness coefficient of the hydraulic liquid in a hydraulic cylinder under load and we also show its influence on the dynamical properties and behavior of the system “hydraulic cylinder– load”.In this ...
Petkov Boris, Boris, P. (Petkov)
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Application Methods of Linear Feedback Control on the Modified Lorenz 3D Chaotic System
In this paper we using a linear feedback control methods on the Lorenz modified 3D system. we used the dynamical analysis system to find critical points, eigenvalues, and for stability, the Jacobi matrix, to investigate some dynamical behaviors of the ...
Mahasin Thabit Younis +1 more
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Exponential attractor for Kirchhoff model with time delay and thermal effect
The Kirchhoff model is derived from the vibration problem of stretchable strings. In this paper, we focus on the long-time dynamics of the Kirchhoff model with time delay and thermal effect.
Penghui Lv, Guoguang Lin
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Analytical insights into three models: Exact solutions and nonlinear vibrations
Three models are investigated in this paper, including the generalized nonlinear Schrödinger equation with distributed coefficients, the time-dependent-coefficient nonlinear Whitham – Broer – Kaup system and the fractional nonlinear vibration governing ...
Bo Xu, Lijie Zhang, Sheng Zhang
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The fruitfulness of the method of a non-equilibrium statistical operator (NSO) and generalized linear response theory is demonstrated calculating the permittivity, dynamical conductivity, absorption coefficient, and dynamical collision frequency of ...
Mikhail Veysman +2 more
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Oscillation of delay dynamic equations with oscillating coefficients [PDF]
In this paper, we study the following delay dynamic equation x Δ (t)+p(t)x(τ(t)) = 0f ort ∈ (t0,∞)T, where t0 ∈ T ,s upT = ∞, p ∈ Crd((t0,∞)T,R) alternates in sign infinitely many times and τ ∈ Crd((t0,∞)T,T) is a strictly increasing unbounded function satisfying τ(t) t for all t ∈ (t0,∞)T. Our results extend recent results for arbitrary time scales.
Karpuz, Basak, Ocalan, Ozkan
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Transport coefficients from in medium quarkonium dynamics [PDF]
8 pages, 3 figures, journal ...
Brambilla, Nora +4 more
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A dynamic model for the Lagrangian stochastic dispersion coefficient [PDF]
A stochastic sub-grid model is often used to accurately represent particle dispersion in turbulent flows using large eddy simulations. Models of this type have a free parameter, the dispersion coefficient, which is not universal and is strongly grid-dependent.
Pesmazoglou, I +2 more
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