Titlebook: Advances in Dynamical Systems and Control; Victor A. Sadovnichiy,Mikhail Z. Zgurovsky Book 2016 Springer International Publishing Switzerl

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Shin Abe,Mohsin Ali,Toshiyuki Wakatsuki minimal polynomials of the residual fractions in the continued fraction expansion of the algebraic numbers. The recurrence formulas to find the minimum polynomials of the residual fractions using linear fractional transformations are given.

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Palgrave Studies in Economic Historyich result in a system of random differential equations. We then analyze the long-term behavior of the random system, in particular the existence and geometric structure of the random attractor, by using the theory of random dynamical systems. Numerical simulations are provided to illustrate the theoretical result.

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Studies in Systems, Decision and Controlhttp://image.papertrans.cn/a/image/147881.jpg

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Advances in Dynamical Systems and Control978-3-319-40673-2Series ISSN 2198-4182 Series E-ISSN 2198-4190

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https://doi.org/10.1007/978-3-031-21247-5lobal weak solutions of the general classes of nonautonomous evolution equations and inclusions that satisfy standard sign and polynomial growth conditions. The obtained results allow to reduce the problem of the complete qualitative investigation of various nonlinear systems into the “small” (compact) part of the natural phase space.

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