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A Toolbox of Averaging Theorems
ISBN-13:
9783031345159
Veröffentl:
2023
Seiten:
193
Autor:
Ferdinand Verhulst
Serie:
12, Surveys and Tutorials in the Applied Mathematical Sciences
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
This primer on averaging theorems provides a practical toolbox for applied mathematicians, physicists, and engineers seeking to apply the well-known mathematical theory to real-world problems. With a focus on practical applications, the book introduces new approaches to dissipative and Hamiltonian resonances and approximations on timescales longer than 1/e.
- 1. Introduction. - 2. First Order Periodic Averaging. - 3. Periodic Solutions. - 4. Second Order Periodic Averaging. - 5. First Order General Averaging. - 6. Approximations on Timescales Longer than 1/e. - 7. Averaging over Spatial Variables. - 8. Hamiltonian Resonances. - 9. Quasi-Periodic Solutions and Tori. - 10. Averaging for Partial Differential Equations.
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