Chaos in piecewise smooth vector fields on two dimensional torus and sphere
RM Martins, DJ Tonon - arXiv preprint arXiv:1601.05670, 2016 - arxiv.org
arXiv preprint arXiv:1601.05670, 2016•arxiv.org
In this paper we study the global dynamics of piecewise smooth vector fields defined in the
two dimensional torus and sphere. We provide conditions under these families exhibits
periodic and dense trajectories and we describe some global bifurcations. We also study its
minimal sets and characterize the chaotic behavior of the piecewise smooth vector fields
defined in torus and sphere.
two dimensional torus and sphere. We provide conditions under these families exhibits
periodic and dense trajectories and we describe some global bifurcations. We also study its
minimal sets and characterize the chaotic behavior of the piecewise smooth vector fields
defined in torus and sphere.
In this paper we study the global dynamics of piecewise smooth vector fields defined in the two dimensional torus and sphere. We provide conditions under these families exhibits periodic and dense trajectories and we describe some global bifurcations. We also study its minimal sets and characterize the chaotic behavior of the piecewise smooth vector fields defined in torus and sphere.
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