M. Sabatini

activity

20062023

most citedExistence and uniqueness of limit cycles in a class of second order ODE's with inseparable mixed terms

6 citations · 25 across the 13 of their papers we have counts for

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Showing 2010 · math.CAShow all

2 papers · 2 filters

math.CA2010★ 1 cited

Limit cycle's uniqueness for second order O.D.E.'s polynomial in $x ˙$

Marco Sabatini

We prove a uniqueness result for limit cycles of the second order ODE $x ¨ + \sum_{j = 1}^{J} f_{j} (x) x ˙^{j} + g (x) = 0$ . We extend a uniqueness result proved in \cite{CRV}. T…

math.CA2010★ 1 cited

Asymptotic stability and periodic solutions of vector Liénard equations

F. Briata, M. Sabatini

We prove the asymptotic stability of the equilibrium solution of a class of vector Liénard equations by means of LaSalle invariance principle. The key hypothesis consists in assumi…

Limit cycle's uniqueness for second order O.D.E.'s polynomial in x˙

Asymptotic stability and periodic solutions of vector Liénard equations

Limit cycle's uniqueness for second order O.D.E.'s polynomial in $x ˙$