Multifrequency Oscillations of Nonlinear Systems by Anatolii M. Samoilenko Paperback | Indigo Chapters - nieuw boek

EAN (ISBN-13): 9789048165742
ISBN (ISBN-10): 9048165741
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer
324 Bladzijden
Gewicht: 0,492 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-06-11T10:32:16+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2023-01-03T17:24:59+01:00 (Amsterdam)
ISBN/EAN: 9789048165742

ISBN - alternatieve schrijfwijzen:
90-481-6574-1, 978-90-481-6574-2
alternatieve schrijfwijzen en verwante zoekwoorden:
Titel van het boek: multifrequency oscillations nonlinear systems, nonlinear oscillation

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Gegevens van de uitgever

Auteur: Anatolii M. Samoilenko
Titel: Mathematics and Its Applications; Multifrequency Oscillations of Nonlinear Systems
Uitgeverij: Springer; Springer Netherland
317 Bladzijden
Verschijningsjaar: 2010-12-15
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,559 kg
Taal: Engels
98,99 € (DE)

BC; Ordinary Differential Equations; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; Manifold; brandonwiskunde; equation; ordinary differential equation; proof; system; theorem; variable; ordinary differential equations; partial differential equations; Partial Differential Equations; Fourier Analysis; Functional Analysis; Applications of Mathematics; Differential Equations; Fourier Analysis; Functional Analysis; Applications of Mathematics; Funktionalanalysis und Abwandlungen; Angewandte Mathematik

Introduction. 1: Averaging Method in Oscillation Systems with Variable Frequencies. 1. Uniform Estimates for One-Dimensional Oscillation Integrals. 2. Justification of Averaging Method for Oscillation Systems with omega = omega(tau). 3. Investigation of Two-Frequency Systems. 4. Justification of Averaging Method for Oscillation Systems with omega = omega(x, tau). 5. Averaging over All Fast Variables in Multifrequency Systems of Higher Approximation. 2: Averaging Method in Multipoint Problems. 6. Boundary-Value Problems for Oscillation Systems with Frequencies Dependent on Time Variable. 7. Theorem on Justification of Averaging Method on Entire Axis. 8. Multipoint Problem for Resonance Multifrequency Systems. 9. Estimates of the Error of Averaging Method for Multipoint Problems in Critical Case. 10. Theorems on Existence of Solutions of Boundary-Value Problems. 11. Boundary-Value Problems with Parameters. 3: Integral Manifolds. 12. Auxiliary Statements. 13. Construction of Successive Approximations. 14. Existence of Integral Manifold. 15. Conditional Asymptotic Stability of Integral Manifold. 16. Smoothness of Integral Manifold. 17. Asymptotic Expansion of Integral Manifold. 18. Decomposition of Equations in the Neighborhood of Asymptotically Stable Integral Manifold. 19. Proof of Theorem 18.1. 20. Investigation of Second-Order Oscillation Systems. 21. Weakening of Conditions in the Theorem on Integral Manifold. 4: Investigation of a Dynamical System in the Neighborhood of Quasiperiodic Trajectory. 22. Statement and General description of the Problem. 23. Theorem on Reducibility. 24. Variational Equation and Theorem on Attraction to Quasiperiodic Solutions. 25. Behavior of Trajectories under Small Perturbations of a Dynamical System. 26. The Case of a Toroidal Manifold Filled with Trajectories of General Form. 27. Discrete Dynamical System in the Neighborhood of a Quasiperiodic Trajectory. References.