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M. Sabatini

17 papers hereh-index 312.6k citations152 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author15
  • first author1
  • last author1

Across the 17 of 17 papers where every author was matched, so the position is known.

fields
  • math.DS8
  • math.CA7
  • math.AG2

identity via Semantic Scholar / OpenAlex

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

collaborators
Showing 2010Show all

4 papers · 1 filter

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¨+∑j=1J​fj​(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…

math.DS2010★ 6 cited

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

Marco Sabatini

We prove a uniqueness result for limit cycles of the second order ODE x¨+x˙ϕ(x,x˙)+g(x)=0. Under mild additional conditions, we show that such a limit cycle a…

math.DS2010★ 2 cited

Existence and uniqueness of limit cycles in a class of second order ODE's

M. Sabatini

We prove a uniqueness result for limit cycles of a class of second order ODE's. As a special case, we prove limit cycle's uniqueness for an ODE studied in \cite{ETBA}.

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