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Selected Papers of Demetrios G. Magiros - Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis (Paperback, Softcover reprint of the original 1st ed. 1985)
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Selected Papers of Demetrios G. Magiros - Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis (Paperback, Softcover reprint of the original 1st ed. 1985)
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The theory of nonlinear oscillations and stability of motion is a
fundamental part of the study of numerous real world phenomena.
These phenomena, particularly auto-oscillations of the first and
second kind, capture, para metric, subharmonic and ultraharmonic
resonance, asymptotic behavior and orbits' stability, constitute
the core of problems treated in "Nonlinear Mechanics", and their
study is connected with the names of H. Poincare, A. M. Lyapunov,
N. M. Krylov and N. N. Bogolyubov. Professor Demetrios Magiros, a
widely known scientist in the theories of oscillations and
nonlinear differential equations, has devoted his numerous works to
this significant part of modern physical science. His scientific
results can be classified in the following way: I) creation of
methods of analysis of subharmonic resonances under the nonlinear
effect, 2) determination and analysis of the main modes of
nonlinear oscillations on the basis of infinite determinants, 3)
analysis of problems of celestial mechanics, 4) classification of
stability of solutions of dynamic systems concepts, 5) mathematical
analogs of physical and social systems. He has developed new
methods and solutions for a great number of difficult problems of
nonlinear mechanics making a significant contri bution to the
theory and applications of the field. Urgency, depth of perception
of the considered phenomena, and practi cal directness are
characteristics of his work.
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