Work

Chaos in Piecewise Smooth Vector Fields on Two Dimensional Torus and Sphere

Year: 2016

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1601.05670

Authors: Martins, Ricardo Miranda, Tonon, Durval José

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2398726945

Cites: 13

Cited by: 2

Related to: 10