Oscillations in planar dynamic systems
著者
書誌事項
Oscillations in planar dynamic systems
（Series on advances in mathematics for applied sciences, v. 37）
World Scientific, c1996
大学図書館所蔵 件 / 全10件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 307-314) and index
内容説明・目次
内容説明
This book provides a concise presentation of the major techniques for determining analytic approximations to the solutions of planar oscillatory dynamic systems. These systems model many important phenomena in the sciences and engineering. In addition to the usual perturbation procedures, the book gives the details of when and how to correctly apply the method of harmonic balance for both first-order and higher-order calculations. This procedure is rarely given or discussed fully in standard textbooks. The basic philosophy of the book stresses how to initiate and complete the calculation of approximate solutions. This is done by a clear presentation of necessary background materials and by the working out of many examples.
目次
- Oscillatory systems
- harmonic balance
- Lindstedt-Poincare perturbation methods
- method of Krylov-Bogoliubov-Mitropolsky
- general second-order systems
- numerical techniques. Appendices: mathematical relations
- summary of results on second-order differential equations
- asymptotic expansions
- bibliography.
「Nielsen BookData」 より
