Download Continuous and Distributed Systems II: Theory and by Viktor A. Sadovnichiy, Mikhail Z. Zgurovsky PDF

By Viktor A. Sadovnichiy, Mikhail Z. Zgurovsky

As within the earlier quantity at the subject, the authors shut the distance among summary mathematical ways, reminiscent of utilized equipment of recent algebra and research, primary and computational mechanics, nonautonomous and stochastic dynamical structures, at the one hand and useful purposes in nonlinear mechanics, optimization, selection making thought and regulate conception at the other.

Readers also will enjoy the presentation of recent mathematical modeling tools for the numerical answer of advanced engineering difficulties in biochemistry, geophysics, biology and climatology. This compilation should be of curiosity to mathematicians and engineers operating on the interface of those fields. It provides chosen works of the joint seminar sequence of Lomonosov Moscow kingdom college and the Institute for utilized method research at nationwide Technical collage of Ukraine “Kyiv Polytechnic Institute”. The authors come from Brazil, Germany, France, Mexico, Spain, Poland, Russia, Ukraine and america.

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Extra resources for Continuous and Distributed Systems II: Theory and Applications

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They define the so-called Liouville foliation (see Fig. 8). , fi are functionally independent on it) common level surface of these functions is compact and connected, then it is a torus T n . The solution (integral trajectory) in general case determines almost periodic motion on this torus. This class of Hamiltonian systems contains many important examples from physics an classical mechanics: the different cases of motion of rigid body (Euler case, Lagrange top), geodesic flow on ellipsoid, interaction of the material points, located on the line or on the circle S 1 .

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