
handle: 11449/41215
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.
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
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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