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Dynamics, Noise, Delays and the Gibbs and Conditional Entropy [PDF]
EntropyIn this paper we review the concepts of the Gibbs and conditional entropies and examine their dynamic behaviour when the underlying dynamics are described by ordinary differential equations or stochastic differential equations. We then go on to introduce
Michael C. Mackey, Marta Tyran-Kamińska
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Applied Mathematics Letters, 2002 The author studies the differential system \(v'(t)+mv(t)+[p(v)](t)\leq 0\) with \(v(0)-v(T)\leq 0\). The main results conclude \(v(t)\leq 0\) for appropriate applications \(p:L^1([0,T])\to L^1([0,T])\) and real constants \(m\). A typical hypothesis states the existence of a real constant \(n\) such that \(n\min_{t\in[0,\tau]}v(t)\leq \text{ess}\inf_{t ...
Juan J Nieto
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Construction of stochastic differential equations of motion in canonical variables [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Galiullin proposed a classification of inverse problems of dynamics for the class of ordinary differential equations (ODE). Considered problem belongs to the first type of inverse problems of dynamics (of the three main types of inverse problems of ...
M.I. Tleubergenov +2 more
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Numerical and asymptotic flow stability analysis of vortex structures [PDF]
E3S Web of Conferences, 2021 Stability problem of an axisymmetric swirling flow of a viscous incompressible fluid with respect to nonaxisymmetric perturbations is considered. The system of ordinary differential equations for the amplitude functions is solved numerically by the Runge-
Akhmetov Vadim
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Linear perturbations of ordinary differential equations [PDF]
Proceedings of the American Mathematical Society, 1970 We present several results dealing with the problem of the preservation of the stability of a system x ′
Strauss, Aaron, Yorke, James A.
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Perturbation of domain: ordinary differential equations [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2002 We study a boundary perturbation problem for a one-dimensional Schrödinger equation in which the potential has a regular singularity near the perturbed end point. We give the asymptotic behaviour of the eigenvalues under the perturbation. This problem arose out of the author's studies of singular elliptic operators in higher dimensions and we ...
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A perturbative solution to metadynamics ordinary differential equation [PDF]
The Journal of Chemical Physics, 2015 Metadynamics is a popular enhanced sampling scheme wherein by periodic application of a repulsive bias, one can surmount high free energy barriers and explore complex landscapes. Recently, metadynamics was shown to be mathematically well founded, in the sense that the biasing procedure is guaranteed to converge to the true free energy surface in the ...
Pratyush Tiwary +2 more
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1 + 3 covariant perturbations in power-law f(R) gravity
European Physical Journal C: Particles and Fields, 2021 We applied the 1+3 covariant approach around the Friedmann–Lemaître–Robertson–Walker (FLRW) background, together with the equivalence between f(R) gravity and scalar-tensor theory to study cosmological perturbations.
Beatrice Murorunkwere +2 more
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Asymptotic behaviour of solutions of quasilinear differential-algebraic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper is concerned with the asymptotic behavior of solutions of linear differential-algebraic equations (DAEs) under small nonlinear perturbations.
Vu Hoang Linh, Ngo Nga, Nguyen Tuan
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Passive identification of multivariable stabilization system elements’ dynamics
Автоматизация технологических и бизнес-процессов, 2020 Increasing domestic automatic control systems competitiveness requires the design work intensification based on the implementation of modern information technologies.
S. I. Osadchy, V. A. Zozulia
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