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Centers on center manifolds in the Lü system

Authors: Mahdi, Adam; Pessoa, Claudio; Shafer, Douglas S.;

Centers on center manifolds in the Lü system

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.

Countries
Spain, Brazil
Keywords

Stability for nonlinear problems in mechanics, Qualitative investigation and simulation of ordinary differential equation models, Center problem, center problem, Integrability, integrability, Center manifold, Bifurcations and instability for nonlinear problems in mechanics, center manifold

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    19
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
19
Average
Top 10%
Top 10%
Green
hybrid