Effective computation of the first Lyapunov quantities for a planar differential equation

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Title

Authors ¹, ¹

Departament de Matemàtiques, Edifici Cc, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain

We take advantage of the complex structure to compute in a short way and without using any computer algebra system the Lyapunov quantities

V_{3}

and

V_{5}

for a general smooth planar system.

Lyapunov quantities, weak focus, stability

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