Home > Search Results: Rabanal, Roland
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Articles, 2 records found
Articles 2 records found  
1.
25 p, 507.7 KB Planar real polynomial differential systems of degree n>3 having a weak focus of high order / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Rabanal, Roland (The Abdus Salam International Centre for Theoretical Physics (Italy))
We construct planar polynomial differential systems of even (respectively odd) degree n > 3, of the form linear plus a nonlinear homogeneous part of degree n having a weak focus of order n2 − 1 (respectively n2−1/2) at the origin. [...]
2012 - 10.1216/RMJ-2012-42-2-657
The Rocky Mountain Journal of Mathematics, Vol. 42 Núm. 2 (2012) , p. 657-693  
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2.
18 p, 697.9 KB Center conditions for a class of planar rigid polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Rabanal, Roland (Pontificia Universidad Católica del Perú. Departamento de Ciencias)
In general the center-focus problem cannot be solved, but in the case that the singularity has purely imaginary eigenvalues there are algorithms to solving it. The present paper implements one of these algorithms for the polynomial differential systems of the form x = −y + xf (x)g(y), y = x + yf (x)g(y), where f (x) and g(y) are arbitrary polynomials. [...]
2015 - 10.3934/dcds.2015.35.1075
Discrete and continuous dynamical systems. Series A, Vol. 35 Núm. 3 (2015) , p. 1075-1090  
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1 Rabanal, R.M.
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