Titlebook: Extended Abstracts Summer 2016; Slow-Fast Systems an Andrei Korobeinikov Conference proceedings 2018 Springer Nature Switzerland AG 2018 hy

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Order Reduction for a Model of Bacteriophage Evolution,Applying the technique of time-scale separation, we reduce a model of marine bacteriophage evolution to a system of two integro-differential equations and demonstrate the equivalence of the original and the reduced systems.

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Localizing Limit Cycles: From Numeric to Analytical Results,tems. We provide a method to construct Poincaré–Bendixson regions by using transversal curves, that enables us to prove the existence of a limit cycle that has been numerically detected. We apply our results to several known systems, like the Brusselator one or some Liénard systems, to prove the exi

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,Order Reduction of Kalman–Bucy Filter for Systems with Low Measurement Noise,rbed systems. It is shown that matrix differential Riccati equation for the Kalman–Bucy filter has a periodic solution which may be used instead the solution of the original initial value problem for the matrix Riccati equation.

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