The center--focus problem and small amplitude limit cycles in rigid systems

Fabio Scalco Dias; Luis Fernando Mello

doi:10.3934/dcds.2012.32.1627

Article Contents

2012, Volume 32, Issue 5: 1627-1637. Doi: 10.3934/dcds.2012.32.1627

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The center--focus problem and small amplitude limit cycles in rigid systems

Fabio Scalco Dias^1, and
Luis Fernando Mello^1,

1.
Instituto de Ciências Exatas, Universidade Federal de Itajubá, Avenida BPS 1303, Pinheirinho, CEP 37.500–903, Itajubá, MG

Received: November 30, 2010

Revised: June 30, 2011

Published: April 2012

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Abstract

In this paper we study the center--focus problem in families of rigid systems. We give explicit necessary and sufficient conditions to the unique equilibrium to be a center. We also study small amplitude limit cycles in these families of systems.

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Mathematics Subject Classification: Primary: 34C07; Secondary: 37G15.

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References

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