Titlebook: Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics; Victor A. Sadovnichiy,Michael Z. Zgurovsky Book 2021 Springe

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Book 2021athematical approaches, such as differential geometry, and differential and difference equations in solid mechanics, hydrodynamics, aerodynamics, optimization, decision-making theory and control theory. Featuring selected contributions to the open seminar series of Lomonosov Moscow State University

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1860-0832 vances in deterministic and stochastic modeling in real-worlThis book focuses on the latest approaches and methods in fundamental mathematics and mechanics, and discusses the practical application of abstract mathematical approaches, such as differential geometry, and differential and difference equ

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Saddle Singularities in Integrable Hamiltonian Systems: Examples and Algorithmseir classification, representation and invariants with respect to topological equivalence depending on number of degrees of freedom. Then criterion of their component-wise stability by A.A. Oshemkov and its application are reminded. At last, we discuss saddle singularities of famous dynamical and ph

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Accounting for Shear Deformation in the Problem of Vibrations and Dissipative Heating of Flexible Visensor and actuator with taking account for shear deformation and quadratic geometrical nonlinearity is elaborated on the base of coupled electro-thermomechanics theory. Procedure of numerical solution of the problem is developed as well. For the most energy intensive first bending mode of beam vibr

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