Titlebook: Recent Developments in Integrable Systems and Related Topics of Mathematical Physics; Kezenoi-Am, Russia, Victor M. Buchstaber,Sotiris Kon

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2194-1009 also suitable for established researchers aiming to get up to speed with recent developments in the area, and may very well be used as a guide for further study..978-3-030-04807-5Series ISSN 2194-1009 Series E-ISSN 2194-1017

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Elliptic Calogero-Moser Hamiltonians and Compatible Poisson Brackets,We show that the classical elliptic .-Calogero-Moser Hamiltonian is generated by the elliptic quadratic Poisson bracket of the .-type.

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Victor M. Buchstaber,Sotiris Konstantinou-Rizos,AlProvides the reader with recent developments in Integrable Systems.Elucidates relationships between previously unrelated areas in Mathematics and Mathematical Physics.Includes methods from algebraic g

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Survey of the Deformation Quantization of Commutative Families,xtension of a Poisson-commutative subalgebra in . (where . is a Poisson manifold) to a commutative subalgebra in the deformation quantization of ., the algebra .. A case of particular interest, which we consider with certain detail is the situation, when . and the commutative subalgebra is constructed by the argument shift method.

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Normal Equation Generated from Helmholtz System: Nonlocal Stabilization by Starting Control and Prol the main definitions and results associated with the NPE including a result on stabilization to zero of the solution for NPE with arbitrary initial condition by starting control. The main content of the paper is to study properties of stabilized solution of NPE.

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Springer Nature Switzerland AG 2018

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