6533b7d4fe1ef96bd1263125

RESEARCH PRODUCT

Invariant varieties of discontinuous vector fields

Alain JacquemardMarco-antonio Teixeira

subject

Lyapunov functionApplied MathematicsMathematical analysisGeneral Physics and AstronomyStatistical and Nonlinear PhysicsDiscontinuous systemssymbols.namesakeSingularitysymbolsPeriodic orbitsGravitational singularityVector fieldInvariant (mathematics)Mathematical PhysicsMathematics

description

We study the geometric qualitative behaviour of a class of discontinuous vector fields in four dimensions around typical singularities. We are mainly interested in giving the conditions under which there exist one-parameter families of periodic orbits (a result that can be seen as one analogous to the Lyapunov centre theorem). The focus is on certain discontinuous systems having some symmetric properties. We also present an algorithm which detects and computes periodic orbits.

yearjournalcountryeditionlanguage
2004-09-25Nonlinearity
https://doi.org/10.1088/0951-7715/18/1/002