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Darboux integrability for polynomial vector fields invariant under action of finite group
(Qualitative Theory of Dynamical Systems, 2018)
Subharmonic bifurcations near infinity
(2004-12-01)
In this paper are considered periodic perturbations, depending on two parameters, of planar polynomial vector fields having an annulus of large amplitude periodic orbits, which accumulate on a symmetric infinite heteroclinic ...
Invariant theory and reversible-equivariant vector fields
(ELSEVIER SCIENCE BV, 2009)
In this paper we present results for the systematic study of reversible-equivariant vector fields - namely, in the simultaneous presence of symmetries and reversing symmetries - by employing algebraic techniques from ...
Slow-fast systems on algebraic varieties bordering piecewise-smooth dynamical systems
(Gauthier-villars/editions Elsevier, 2012-06-01)
This article extends results contained in Buzzi et al. (2006) [4], Llibre et al. (2007, 2008) [12,13] concerning the dynamics of non-smooth systems. In those papers a piecewise C-k discontinuous vector field Z on R-n is ...
Slow-fast systems on algebraic varieties bordering piecewise-smooth dynamical systems
(Gauthier-villars/editions Elsevier, 2012-06-01)
This article extends results contained in Buzzi et al. (2006) [4], Llibre et al. (2007, 2008) [12,13] concerning the dynamics of non-smooth systems. In those papers a piecewise C-k discontinuous vector field Z on R-n is ...
Existência e configuração de ciclos limites em sistemas diferenciais planares
(Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em MatemáticaCentro de Ciências Naturais e Exatas, 2018-03-16)
In this dissertation, we present results on the existence of limit cycles in planar differential
systems, configuration of such cycles and the dynamics of nonlinear systems near periodic
orbits.
The turning arcs: a computationally efficient algorithm to simulate isotropic vector-valued Gaussian random fields on the d-sphere
(Springer, 2020)
Random fields on the sphere play a fundamental role in the natural sciences. This paper presents a simulation algorithm parenthetical to the spectral turning bands method used in Euclidean spaces, for simulating scalar- ...
Slow-fast systems on algebraic varieties bordering piecewise-smooth dynamical systems
(Gauthier-villars/editions Elsevier, 2014)