Revisiting the Teixeira Singularity Bifurcation Analysis: Application to the Control of Power Converters

[1]  Stephen John Hogan,et al.  On the Use of Blowup to Study Regularizations of Singularities of Piecewise Smooth Dynamical Systems in ℝ3 , 2014, SIAM J. Appl. Dyn. Syst..

[2]  Alessandro Colombo,et al.  Nondeterministic Chaos, and the Two-fold Singularity in Piecewise Smooth Flows , 2011, SIAM J. Appl. Dyn. Syst..

[3]  G. R. W. Quispel,et al.  Chaos and time-reversal symmetry. Order and chaos in reversible dynamical systems , 1992 .

[4]  Daniel J. Pagano,et al.  Bifurcation Analysis of a DC-DC Bidirectional Power Converter Operating with Constant Power Loads , 2016, Int. J. Bifurc. Chaos.

[5]  A. A. Andronov.  CHAPTER VIII – THE METHOD OF THE POINT TRANSFORMATIONS IN PIECE-WISE LINEAR SYSTEMS† , 1966 .

[6]  Yuri A. Kuznetsov,et al.  One-Parameter bifurcations in Planar Filippov Systems , 2003, Int. J. Bifurc. Chaos.

[7]  Mario di Bernardo,et al.  Structural Stability of the Two-Fold Singularity , 2012, SIAM J. Appl. Dyn. Syst..

[8]  Marco Antonio Teixeira,et al.  Generic Bifurcation of Sliding Vector Fields , 1993 .

[9]  Dino Mandrioli,et al.  Pseudoequilibrium in dynamical systems , 1973 .

[10]  Marco Antonio Teixeira,et al.  Stability conditions for discontinuous vector fields , 1990 .

[11]  Marco Antonio Teixeira,et al.  Stability conditions in piecewise smooth dynamical systems at a two-fold singularity , 2013 .

[12]  Robert Roussarie,et al.  Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms , 1996, Ergodic Theory and Dynamical Systems.

[13]  Marco Antonio Teixeira,et al.  On topological stability of divergent diagrams of folds , 1982 .

[14]  Alessandro Colombo,et al.  The Two-Fold Singularity of Discontinuous Vector Fields , 2009, SIAM J. Appl. Dyn. Syst..

[15]  E. Gamero,et al.  A bifurcation analysis of planar nilpotent reversible systems , 2017 .