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Occurrence of secular terms in the Carleman embedding (1986)

Esperidia˜o, A. S. C. ; Andrade, R. F. S.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 27 (1986), S. 66-70

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: Secular terms occur in many perturbative solutions of nonlinear equation systems. In this work, an investigation is made of which cases they may occur in as the result of the application of the linear Carleman embedding to a system of nonlinear equations. The solution for the embedded system is written in a form that makes it convenient to see how these terms originate. Their occurrence for the general case is discussed and the results are exemplified by working out the Hénon–Heiles system.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.527354

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