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

Bifurcations and chaos in converters. Discontinuous vector fields and singular Poincaré maps

Nonlinearity ◽  
2000 ◽  
Vol 13 (4) ◽  
pp. 1095-1121 ◽  
Author(s):  
Gerard Olivar ◽  
Enric Fossas ◽  
Carles Batlle
Keyword(s):  
Vector Fields ◽  
Poincaré Maps ◽  
Poincare Maps ◽  
Discontinuous Vector Fields

scholarly journals Regularization of discontinuous vector fields in dimension three

1997 ◽  
Vol 3 (2) ◽  
pp. 235-241 ◽  
Author(s):  
Jaume Llibre ◽  
◽  
Marco Antonio Teixeira ◽  
Keyword(s):  
Vector Fields ◽  
Discontinuous Vector Fields

Analysis of the Interaction between Modes by Normal Forms and Singular Perturbation Theory

2012 ◽  
Vol 157-158 ◽  
pp. 381-385
Author(s):  
Jing Zhang ◽  
Ting Ting Jiang
Keyword(s):  
Perturbation Theory ◽  
Singular Perturbation ◽  
Power System ◽  
Voltage Stability ◽  
Vector Fields ◽  
Normal Forms ◽  
Interaction Analysis ◽  
System Structure ◽  
System Stability ◽  
Singular Perturbation Theory

Due to the nonlinear characteristics of modern power systems, strong interaction between system angle stability and voltage stability will present. However, because of extreme complexity, these two kinds of stability are often investigated separately and the interactions between them are normally neglected in traditional studies. In this paper, a new method based on the theory of normal forms of vector fields and singular perturbation theory is introduced to deal with the power system structure preserving model for system stability modes interaction analysis. The relationship between angle and voltage stability is discovered. The method is validated with a sample power system.

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
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