The Lyapunov-Poincaré method in the theory of periodic motions

✍ Scribed by V.N. Tkhai

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 941 KB
• Volume: 62
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(98)00044-6

✦ Synopsis

The problem of the periodic motions of a system with a small parameter is solved. The non-rough cases, when the problem cannot be solved by a generating system obtained for a zero value of the small parameter, are investigated. Lyapunov's idea of using a new generating system which already contains the small parameter is systematically developed. Systems of general form, inverse systems and systems dose to inverse are investigated,