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Centers on center manifolds in the Lu system

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Author

Mahdi, Adam

Pessoa, Claudio

Shafer, Douglas S.

Publication date

2011

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Abstract

We confirm a conjecture of Mello and Coelho [Physics Letters A 373 (2009) 1116-1120] concerning the existence of centers on local center manifolds at equilibria of the Lü system of differential equations on R3. Our proof shows that the local center manifolds are algebraic ruled surfaces, and are unique.

Document Type

Article

Language

English

Subjects and keywords

Center problem; Center manifold; Integrability

Publisher

 

Related items

Physics Letters. A ; Vol. 375 (2011), p. 3509-3511

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DIDL MARC MARC_CCUC METS OAI_DC ORE QDC RDF

Rights

open access

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Articles escrits per personal UAB o publicats per la universitat [88071]