Results 321 to 330 of about 850,656 (375)
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2010
Dynamical systems with delay (which we simply designate hereafter as delay dynamical systems or delay systems) are abundant in nature. They occur in a wide variety of physical, chemical, engineering, economic and biological systems and their networks. One can cite many examples where delay plays an important role.
M. Lakshmanan, D.V. Senthilkumar
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Dynamical systems with delay (which we simply designate hereafter as delay dynamical systems or delay systems) are abundant in nature. They occur in a wide variety of physical, chemical, engineering, economic and biological systems and their networks. One can cite many examples where delay plays an important role.
M. Lakshmanan, D.V. Senthilkumar
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Mathematische Nachrichten, 2020
New oscillation criteria for the second‐order Emden–Fowler delay differential equation with a sublinear neutral term are presented. An essential feature of our results is that oscillation of the studied equation is ensured via only one condition ...
J. Džurina +3 more
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New oscillation criteria for the second‐order Emden–Fowler delay differential equation with a sublinear neutral term are presented. An essential feature of our results is that oscillation of the studied equation is ensured via only one condition ...
J. Džurina +3 more
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Stability and bifurcation analysis of a generalized scalar delay differential equation.
Chaos, 2016This paper deals with the stability and bifurcation analysis of a general form of equation D(α)x(t)=g(x(t),x(t-τ)) involving the derivative of order α ∈ (0, 1] and a constant delay τ ≥ 0.
S. Bhalekar
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Metastability for delayed differential equations
Physical Review E, 1999In systems at phase transitions, two phases of the same substance may coexist for a long time before one of them dominates. We show that a similar phenomenon occurs in systems with delayed feedback, where short-term stable oscillatory patterns can also have very long lifetimes before vanishing into constant or periodic steady states.
Khashayar Pakdaman +2 more
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2012
In this chapter we study general non-autonomous delay differential equations of the form $$\dot{x}(t) = F(t,x(t),x(t - \rho (t))).$$ Our intention is to demonstrate how pullback attractors can be used to investigate the behaviour of such models.
José A. Langa +2 more
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In this chapter we study general non-autonomous delay differential equations of the form $$\dot{x}(t) = F(t,x(t),x(t - \rho (t))).$$ Our intention is to demonstrate how pullback attractors can be used to investigate the behaviour of such models.
José A. Langa +2 more
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Delays and Differential Delay Equations
1998Mathematically speaking, the most important tools used by the chemical kineticist to study chemical reactions like the ones we have been considering are sets of coupled, first-order, ordinary differential equations that describe the changes in time of the concentrations of species in the system, that is, the rate laws derived from the Law of Mass ...
Irving R. Epstein, John A. Pojman
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Bifurcation delay in a delay differential equation
Nonlinear Analysis: Theory, Methods & Applications, 2005Abstract Consider the Dynamic Hopf Bifurcation in delay differential equations x ′ = F ( x ; μ ) + bu ( t ) , u ( t ) = - k T ( x ( t ) - x ( t - τ ) ) , μ ′ = e , where bu ( t ) is a time delayed feedback control term, b represents the accessible elements, k (
R. Miyazaki, K. Tchizawa
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Multiscroll Chaotic attractors from a Hysteresis Based Time-Delay Differential equation
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2010In this paper, the generation of multiscroll chaotic attractors derived from a time-delay differential equation is presented. The proposed system is represented by only one first-order differential equation including time-delayed state variable, and ...
S. Kilinç, M. Yalçin, S. Özoguz
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The delay differential equation
Mathematika, 1986The usual method of dealing with delay differential equations such asis the method of steps [1, 2]. In this, y(x) is assumed to be known for − α < x < 0, thereby defining over 0 < x < α. As a result of integration, the value of y is now known over 0 < x < α, and the integration proceeds thereon by a succession of steps.
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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.
openaire +2 more sources