discontinuous vector fields
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scholarly journals Limit Sets of Discontinuous Vector Fields on Two-Dimensional Manifolds

2021 ◽  
Vol 32 (1) ◽  
Author(s):  
Rodrigo D. Euzébio ◽  
Joaby S. Jucá
Keyword(s):  
Vector Fields ◽  
Two Dimensional ◽  
Limit Sets ◽  
Discontinuous Vector Fields

scholarly journals Nonlinear Sliding of Discontinuous Vector Fields and Singular Perturbation

2018 ◽  
Author(s):  
P. R. da Silva ◽  
I. S. Meza-Sarmiento ◽  
D. D. Novaes
Keyword(s):  
Singular Perturbation ◽  
Vector Fields ◽  
Discontinuous Vector Fields

On Numerical Integration of Discontinuous Dynamical Systems

2017 ◽  
Vol 27 (14) ◽  
pp. 1750218 ◽  
Author(s):  
Marius-F. Danca ◽  
Michal Fec̆kan
Keyword(s):  
Dynamical Systems ◽  
Numerical Methods ◽  
Numerical Integration ◽  
Vector Fields ◽  
Continuous Functions ◽  
Numerical Integrations ◽  
Right Hand ◽  
Discontinuous Vector Fields ◽  
The Right ◽  
Continuous Approximations

This paper addresses an important issue in numerical integration of dynamical systems, integer- or fractional-order, with discontinuous vector fields. It is shown that these systems cannot be solved using numerical methods designed for ODEs with continuous functions on the right-hand side, therefore we have to resort to special schemes and procedures in numerical integrations such as continuous approximations of the right-hand sides of the ODEs.

On degenerate cycles in discontinuous vector fields and the Dulac's problem

2016 ◽  
Author(s):  
Kamila da Silva Andrade
Keyword(s):  
Vector Fields ◽  
Discontinuous Vector Fields

Chaos and non-trivial minimal sets in discontinuous vector fields

2015 ◽  
Author(s):  
Claudio A. Buzzi ◽  
Rodrigo D. Euzébio ◽  
Tiago De Carvalho
Keyword(s):  
Vector Fields ◽  
Minimal Sets ◽  
Discontinuous Vector Fields

scholarly journals Singularly perturbed discontinuous vector fields

2015 ◽  
Author(s):  
Paulo Ricardo da Silva ◽  
Jaime Rezende de Moraes ◽  
Pedro Toniol Cardin
Keyword(s):  
Vector Fields ◽  
Singularly Perturbed ◽  
Discontinuous Vector Fields

A note on the stability of bimodal systems in with discontinuous vector fields

2014 ◽  
Vol 88 (4) ◽  
pp. 729-744 ◽  
Author(s):  
Vasfi Eldem ◽  
IşıI Öner
Keyword(s):  
Vector Fields ◽  
Discontinuous Vector Fields ◽  
The Stability

Collision Avoidance in Formation Control using Discontinuous Vector Fields

2013 ◽  
Vol 46 (23) ◽  
pp. 797-802 ◽  
Author(s):  
E.G. Hernandez-Martinez ◽  
E. Aranda-Bricaire
Keyword(s):  
Collision Avoidance ◽  
Formation Control ◽  
Vector Fields ◽  
Discontinuous Vector Fields
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