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### Navegando por Autor "Llibre, Jaume"

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- ItemLimit cycles for two classes of control piecewise linear differential systems.(2016-10) Llibre, Jaume; Oliveira, Regilene Delazari dos Santos; Rodrigues, Camila Ap. B.
Mostrar mais The study the bifurcation of limit cycles from the periodic orbits of 2n-dimensional linear centers when they are perturbed inside of classes of continuous and classes of discontinuous piecewise linear diffrential systems of control theory .Mostrar mais - ItemLimit cycles in uniform isochronous centers of discontinuous differential systems with four zones.(2016) Itikawa, Jackson; Llibre, Jaume; Mereu, Ana C.; Oliveira, Regilene Delazari dos Santos
Mostrar mais Apply the averaging theory of first order for discontinuous differential systems to study the bifurcation of limit cycles from the periodic orbits of the uniform isochronous center of the differential systems.Mostrar mais - ItemOn the Darboux integrability of a three-dimensional forced-damped differential system.(2016-09) Llibre, Jaume; Oliveira, Regilene Delazari dos Santos; Valls, Claudia
Mostrar mais In 2011 Pehlivan proposed a three–dimensional forced–damped autonomous differential system which can display simultaneously unbounded and chaotic solutions.Mostrar mais - ItemOn the limit cycle of a Belousov-Zabotinsky differential systems.(2019-01) Llibre, Jaume; Oliveira, Regilene Delazari dos Santos
Mostrar mais The authors in [7] shown numerically the existence of a limit cycle surrounding the unstable node that system (1) has in the positive quadrant for specific values of the parameters. System (1) isone of the Belousov-Zabotinsky dynamical models. The objective of this paper is to prove that system (1), when in the positive quadrant Q has an unstable node or focus, has at least one limit cycle and, when f = 2/3, q = E²/2 and E > 0 suffciently small this limit cycle is unique.Mostrar mais - ItemOn the periodic solutions of the Milchelson continuous and discontinuous piecewise linear differential system.(2014) Llibre, Jaume; Oliveira, Regilene Delazari dos Santos; Rodrigues, Camila A. B.
Mostrar mais Applying new results from the averaging theory for discontinuous and continuous differential systems.Mostrar mais - ItemQuadratic systems with an invariant algebraic curve of degree 3 and a Darboux invariant.(2019-01) Llibre, Jaume; Oliveira, Regilene Delazari dos Santos; Rodrigues, Camila
Mostrar mais The planar quadratic systems having a Darboux invariant defined by invariant straight lines of total multiplicity two or by an invariant conic have been studied in [15] and [16], respectively. Here we shall present the normal forms of the planar quadratic systems having an invariant cubic. Moreover we classify the phase portraits in the Poincare disc of all planar quadratic polynomial differential systems with invariant cubic curve and having a Darboux invariant defined by it.Mostrar mais - ItemQuadratic systems with an invariant conic having Darboux invariants.(2015-09) Llibre, Jaume; Oliveira, Regilene Delazari dos Santos
Mostrar mais The complete characterization of the phase portraits of real planar quadratic vector fields is very far to be completed.Mostrar mais