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A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation [PDF]
Mathematics, 2020 The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied.
Watcharin Chartbupapan +2 more
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On 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
Andrzej Rostworowski +8 more
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Asymptotic consensus of hybrid multi-agent systems considering network attacks [PDF]
Scientific ReportsThis paper focuses on the problem of active defense and achieving asymptotic consensus control in hybrid multi-agent systems under network attacks. Considering the influence of Byzantine nodes, on the basis of the theory of mimic defense, a deep dynamic ...
Dongwei Wang, Ying Zhang
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Global asymptotic stability in quadratic systems
Electronic Journal of Differential EquationsA classical problem in the qualitative theory of differential systems that is relevant for its applications, is to characterize the differential systems which are globally asymptotically stable, that is differential systems having a unique equilibrium point for which all their orbits, with the exception of the equilibrium point, tend in forward time ...
Jaume Llibre, Claudia Valls
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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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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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Stability in asymptotically AdS spaces [PDF]
Journal of High Energy Physics, 2005 We discuss two types of instabilities which may arise in string theory compactified to asymptotically AdS spaces: perturbative, due to discrete modes in the spectrum of the Laplacian, and non-perturbative, due to brane nucleation. In the case of three dimensional Einstein manifolds, we completely characterize the presence of these instabilities, and in
Kleban, Matthew +2 more
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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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