Titlebook: Delay Differential Equations; Recent Advances and David E. Gilsinn,Tamás Kalmár-Nagy,Balakumar Balac Book 20091st edition Springer-Verlag

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Lyapunov-Krasovskii Functional Approach for Coupled Differential-Difference Equations with Multiple neutral type, as well as singular systems, can all be considered as special cases of coupled DDEs. The coupled DDE formulation is especially effective when a system has a large number of state variables, but only a few of them involve time delays. In this chapter, the stability of such systems is s

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Stability Analysis and Control of Linear Periodic Delayed Systems Using Chebyshev and Temporal Finis represented by linear time-periodic delay-differential equations using the Chebyshev and temporal finite element analysis (TFEA) techniques. Here, the analysis and examples assume that there is a single fixed discrete delay, which is equal to the principal period. Two Chebyshev-based methods, Cheb

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Systems with Periodic Coefficients and Periodically Varying Delays: Semidiscretization-Based Stabildically varying. The stability of periodic solutions of these systems are analyzed by using the semidiscretization method. By employing this method, the periodic coefficients and the delay terms are approximated as constants over a time interval, and the delay differential system is reduced to a set

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Bifurcations, Center Manifolds, and Periodic Solutions,rential equations (DDEs) usually have parameters in their formulation. How the nature of the solutions change as the parameters vary is crucial to understanding the underlying physical processes. When the DDE is reduced, at an equilibrium point, to leading linear terms and the remaining nonlinear te

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Center Manifold Analysis of the Delayed Lienard Equation, bifurcation is established based on the reduction of the infinite-dimensional problem onto a twodimensional center manifold. Numerics based on DDE-Biftool are given to compare with the authors’ theoretical calculation. The Liénard type sunflower equation is discussed as an illustrative example base

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