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.

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
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