Strict and non-strict inequalities for implicit first order causal differential equations [PDF]
In this paper, some fundamental differential inequalities for the implicit perturbations of nonlinear first order ordinary causal differential equations have been established.
Bapurao Dhage
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Dynamics, Noise, Delays and the Gibbs and Conditional Entropy [PDF]
In 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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Extended Differential Aggregations in Process Algebra for Performance and Biology [PDF]
We study aggregations for ordinary differential equations induced by fluid semantics for Markovian process algebra which can capture the dynamics of performance models and chemical reaction networks. Whilst previous work has required perfect symmetry for
Max Tschaikowski, Mirco Tribastone
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Resolvent estimates for 2-dimensional perturbations of plane Couette flow
We present results concerning resolvent estimates for the linear operator associated with the system of differential equations governing 2 dimensional perturbations of plane Couette flow.
Pablo Braz e Silva
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Construction of stochastic differential equations of motion in canonical variables [PDF]
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]
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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1 + 3 covariant perturbations in power-law f(R) gravity
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
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
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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Transversal homoclinics in nonlinear systems of ordinary differential equations
Bifurcation of transversal homoclinics is studied for a pair of ordinary differential equations with periodic perturbations when the first unperturbed equation has a manifold of homoclinic solutions and the second unperturbed equation is vanishing.
Michal Fečkan
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