0000000001035051

AUTHOR

Durval José Tonon

showing 2 related works from this author

Coupled systems of non-smooth differential equations

2012

Abstract We study the geometric qualitative behavior of a class of discontinuous vector fields in four dimensions. Explicit existence conditions of one-parameter families of periodic orbits for models involving two coupled relay systems are given. We derive existence conditions of one-parameter families of periodic solutions of systems of two second order non-smooth differential equations. We also study the persistence of such periodic orbits in the case of analytic perturbations of our relay systems. These results can be seen as analogous to the Lyapunov Centre Theorem.

Relay systemsLyapunov functionClass (set theory)Mathematics(all)Relay systemsDifferential equationGeneral MathematicsMathematical analysisOrder (ring theory)Non-smooth dynamical systemsNon smoothsymbols.namesakeReversibilitysymbolsPeriodic orbitsVector fieldMathematicsBulletin des Sciences Mathématiques
researchProduct

PIECEWISE SMOOTH REVERSIBLE DYNAMICAL SYSTEMS AT A TWO-FOLD SINGULARITY

2012

This paper focuses on the existence of closed orbits around a two-fold singularity of 3D discontinuous systems of the Filippov type in the presence of symmetries.

Essential singularitySingularityDynamical systems theoryStructural stabilityApplied MathematicsModeling and SimulationHomogeneous spaceMathematical analysisPiecewiseSingularity functionDiscontinuous systemsEngineering (miscellaneous)MathematicsInternational Journal of Bifurcation and Chaos
researchProduct