fenichel theory
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scholarly journals CORRIGENDUM: Fenichel Theory for Multiple Time Scale Singular Perturbation Problems

2019 ◽  
Vol 18 (2) ◽  
pp. 1223-1223
Author(s):  
Pedro Toniol Cardin ◽  
Marco Antonio Teixeira
Keyword(s):  
Singular Perturbation ◽  
Time Scale ◽  
Singular Perturbation Problems ◽  
Multiple Time ◽  
Multiple Time Scale ◽  
Perturbation Problems ◽  
Fenichel Theory

scholarly journals Regularization of discontinuous foliations: Blowing up and sliding conditions via Fenichel theory

2017 ◽  
Vol 263 (12) ◽  
pp. 8362-8390 ◽  
Author(s):  
Daniel Panazzolo ◽  
Paulo R. da Silva
Keyword(s):  
Blowing Up ◽  
Fenichel Theory

Fenichel Theory for Multiple Time Scale Singular Perturbation Problems

2017 ◽  
Vol 16 (3) ◽  
pp. 1425-1452 ◽  
Author(s):  
Pedro Toniol Cardin ◽  
Marco Antonio Teixeira
Keyword(s):  
Singular Perturbation ◽  
Time Scale ◽  
Singular Perturbation Problems ◽  
Multiple Time ◽  
Multiple Time Scale ◽  
Perturbation Problems ◽  
Fenichel Theory

General Fenichel Theory

2014 ◽  
pp. 19-51
Author(s):  
Christian Kuehn
Keyword(s):  
Fenichel Theory

On singularly perturbed Filippov systems

2013 ◽  
Vol 24 (6) ◽  
pp. 835-856 ◽  
Author(s):  
PEDRO T. CARDIN ◽  
PAULO R. DA SILVA ◽  
MARCO A. TEIXEIRA
Keyword(s):  
Singular Perturbations ◽  
Constrained Systems ◽  
Singularly Perturbed ◽  
Main Question ◽  
Know How ◽  
Filippov Systems ◽  
Fenichel Theory

In this paper, we study singularly perturbed Filippov systems. More specifically, our main question is to know how the dynamics of Filippov systems is affected by singular perturbations. We extend the Fenichel theory developed in Fenichel (J. Differ. Equ., 1979, Vol. 31, pp. 53–98) to these systems. In addition, the study of non-smooth constrained systems is considered.

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