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Qualitative analysis of a mechanical system of coupled nonlinear oscillators
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper we investigate nonlinear systems of second order ODEs describing the dynamics of two coupled nonlinear oscillators of a mechanical system. We obtain, under certain assumptions, some stability results for the null solution.
Gheorghe Moroșanu +1 more
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Fractal and Fractional, 2022 Throughout this article, a novel control strategy for fractional-order gene regulation networks (FOGRN) of all categories is designed by using the vector Lyapunov function in combination with the M-matrix measure. Firstly, a series of puzzles surrounding
Zitong Li +3 more
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Stability Tests of Positive Fractional Continuous-time Linear Systems with Delays [PDF]
TransNav, 2013 Necessary and sufficient conditions for the asymptotic stability of positive fractional continuous-time linear systems with many delays are established.
Tadeusz Kaczorek
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Critical cases in neutral functional differential equations, arising from hydraulic engineering [PDF]
Opuscula Mathematica, 2022 This paper starts from several applications described by initial/boundary value problems for \(1D\) (time and one space variable) hyperbolic partial differential equations whose basic properties and stability of equilibria are studied throughout the same
Vladimir Răsvan
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Asymptotic stability of some equations [PDF]
Journal of Hyperstructures, 2019 In this paper, we investigate asymptotic stability of several integral and differential equations.
Nasrin Eghbali, Aram Moharramnia
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On asymptotic properties of solutions for differential equations of neutral type
Современная математика: Фундаментальные направления, 2023 The stability of systems of linear autonomous functional differential equations of neutral type is studied. The study is based on the well-known representation of the solution in the form of an integral operator, the kernel of which is the Cauchy ...
V. V. Malygina, K. M. Chudinov
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Asymptotic stability of the Skyrmion [PDF]
Physical Review D, 2007 We study the asymptotic behavior of spherically symmetric solutions in the Skyrme model. We show that the relaxation to the degree-one soliton (called the Skyrmion) has a universal form of a superposition of two effects: exponentially damped oscillations (the quasinormal ringing) and a power law decay (the tail).
Bizoń, Piotr +2 more
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Obstructions to Asymptotic Stabilization
SIAM Journal on Control and Optimization, 2023 Accepted to SIAM J Control and ...
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Metzler asymptotic stability of initial time linear time-varying real-order systems
Franklin Open, 2023 Determining the asymptotics of many time-varying systems associated with real orders remains a challenging issue in qualitative asymptotic theory. This paper introduces a new concept of Metzler asymptotic stability to linear time-varying real-order ...
Bichitra Kumar Lenka +1 more
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On asymptotic output stability for delay differential systems [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of this study is to obtain sufficient conditions for output asymptotic stability of nonlinear nonautonomous time-delay systems described by ordinary differential equations.
Sedova, Natalia Olegovna
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