Home > Search Results: Menezes, Lucyjane de A S.
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Articles, 2 records found
Articles 2 records found  
1.
23 p, 2.6 MB The Markus-Yamabe conjecture does not hold for discontinuous piecewise linear differential systems separated by one straight line / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Menezes, Lucyjane de A. S. (Universidade Federal de Goiás. Instituto de Matemática e Estatística (Brazil))
The Markus-Yamabe conjecture is a conjecture on global asymptotic stability. The conjecture states that if a differentiable system x˙ = f(x) has a singularity and the Jacobian matrix Df(x) has everywhere eigenvalues with negative real part, then the singularity is a global attractor. [...]
2020 - 10.1007/s10884-020-09825-8
Journal of dynamics and differential equations, 2020  
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2.
32 p, 2.2 MB On the limit cycles of a class of discontinuous piecewise linear differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; de Menezes, Lucyjane de A. S. (Universidade Federal de Goiás. Instituto de Matemática e Estatística (Brazil))
In this paper we consider discontinuous piecewise linear differential systems whose discontinuity set is a straight line L which does not pass through the origin. These systems are formed by two linear differential systems of the form ̇x= Ax ± b. [...]
2020 - 10.3934/dcdsb.2020005
Discrete and continuous dynamical systems. Series B, Vol. 25, Issue 5 (May 2020) , p. 1835-1858  
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