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Harmonic analysis. Fourier analysis --- Fluid mechanics --- Plasma physics
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Ergodic theory. Information theory --- Mathematical control systems --- Numerical analysis --- Harmonic analysis. Fourier analysis --- Computer. Automation --- Engineering mathematics --- 51-7 --- Mathematics --- 51 --- Wiskunde --- Math --- Science --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Engineering mathematics - Problems, exercises, etc.
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In contrast to other books devoted to the averaging method and the method of integral manifolds, in the present book we study oscillation systems with many varying frequencies. In the process of evolution, systems of this type can pass from one resonance state into another. This fact considerably complicates the investigation of nonlinear oscillations. In the present monograph, a new approach based on exact uniform estimates of oscillation integrals is proposed. On the basis of this approach, numerous completely new results on the justification of the averaging method and its applications are obtained and the integral manifolds of resonance oscillation systems are studied. This book is intended for a wide circle of research workers, experts, and engineers interested in oscillation processes, as well as for students and post-graduate students specialized in ordinary differential equations.
Nonlinear oscillations. --- Differential Equations. --- Differential equations, partial. --- Fourier analysis. --- Functional analysis. --- Mathematics. --- Ordinary Differential Equations. --- Partial Differential Equations. --- Fourier Analysis. --- Functional Analysis. --- Applications of Mathematics. --- Differential equations. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Analysis, Fourier --- Partial differential equations --- 517.91 Differential equations --- Differential equations --- Mathematics --- Nonlinear theories --- Oscillations
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Fourier analysis --- Harmonic analysis --- Sampling (Statistics) --- Tomography --- Wavelets (Mathematics) --- 519.65 --- Analysis, Fourier --- Mathematical analysis --- 519.65 Approximation. Interpolation --- Approximation. Interpolation --- Wavelet analysis --- Body section radiography --- Computed tomography --- Computer tomography --- Computerized tomography --- CT (Computed tomography) --- Laminagraphy --- Laminography --- Radiological stratigraphy --- Stratigraphy, Radiological --- Tomographic imaging --- Zonography --- Cross-sectional imaging --- Radiography, Medical --- Geometric tomography --- Random sampling --- Statistics of sampling --- Statistics --- Mathematical statistics --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis
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