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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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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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Numerical solution of fractional delay differential equation by shifted Jacobi polynomials
International Journal of Computational Mathematics, 2017M. Palanisamy, B. Priya
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Stability and bifurcation analysis of a generalized scalar delay differential equation.
Chaos, 2016S. Bhalekar
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Multi-scroll Chaotic Oscillator Based on a First-Order Delay Differential Equation
Chaos Modeling and Control Systems Design, 2015V. Pham, C. Volos, S. Vaidyanathan
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A General Method for Computer-Assisted Proofs of Periodic Solutions in Delay Differential Problems
Journal of Dynamics and Differential Equations, 2020J. B. van den Berg +2 more
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The instability for delay differential equations
Nonlinear Analysis: Theory, Methods & Applications, 2001openaire +2 more sources

