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FORMAL AND ANALYTIC INTEGRABILITY OF THE ROSSLER SYSTEM

JAUME LLIBRE

Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08913 Bellaterra, Barcelona, Spain

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and

CLÀUDIA VALLS

Departamento de Matemática, Instituto Superior Técnico, 1049–001 Lisboa, Portugal

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https://doi.org/10.1142/S0218127407019044Cited by:11 (Source: Crossref)

Abstract

The well–known Rossler system can be written as ẋ = -(z + y), ẏ = x + ay and ż = b + xz - cz. Here, we study the first integrals of the Rossler system that can be described by formal power series.

Keywords:

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