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Stability of Solutions of Delay Differential Equations
Siberian Advances in Mathematics, 2023Summary: In the present article, we consider a class of systems of linear differential equations with infinite distributed delay and periodic coefficients. We use the Lyapunov-Krasovskii functional and obtain sufficient conditions for exponential stability of the zero solution, find conditions on perturbation of the coefficients of the system that ...
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2011
Periodic motions in DDE (Differential-Delay Equations) are typically created in Hopf bifurcations. In this chapter we examine this process from several points of view. Firstly we use Lindstedt’s perturbation method to derive the Hopf Bifurcation Formula, which determines the stability of the periodic motion.
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Periodic motions in DDE (Differential-Delay Equations) are typically created in Hopf bifurcations. In this chapter we examine this process from several points of view. Firstly we use Lindstedt’s perturbation method to derive the Hopf Bifurcation Formula, which determines the stability of the periodic motion.
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2011
Delay differential equations occur in many areas of science. Mathematically, delay terms render differential equations infinite dimensional. This enables even simple equations with delay terms to show complex dynamics.
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Delay differential equations occur in many areas of science. Mathematically, delay terms render differential equations infinite dimensional. This enables even simple equations with delay terms to show complex dynamics.
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2017
Almost all dynamical systems can be subject to some sort of feedback control, where a time delay arises due to a finite time interval being required for the system to sense a change and react to it. Also, many dynamical systems, especially in biology, have the delays inherently built in.
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Almost all dynamical systems can be subject to some sort of feedback control, where a time delay arises due to a finite time interval being required for the system to sense a change and react to it. Also, many dynamical systems, especially in biology, have the delays inherently built in.
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SIAM Journal on Scientific Computing
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nicola Guglielmi, Ernst Hairer
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nicola Guglielmi, Ernst Hairer
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Delayed Differential Equations
2014Matematik olaylarıx'(t) = f(t, x(t ...
GÖZÜKIZIL, Ömer, Şencan, Huri
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Delay and Differential Equations
Delay and Differential Equations, 1992A. M. Fink +2 more
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Delay Differential Equations: Theory and Numerics
1995Abstract Many real life phenomena in physics, engineering, biology, medicine and economics can be modeled by initial value problems (IVPs) for ordinary differential equations (ODEs) of the type where the function y(t) represents some physical quantity which evolves in time.
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A Novel Approach to Mean Square Exponential Stability of Stochastic Delay Differential Equations
IEEE Transactions on Automatic Control, 2021Le Trung Hieu, Ngoc Pham Huu Anh
exaly
The instability for delay differential equations
Nonlinear Analysis: Theory, Methods & Applications, 2001openaire +2 more sources