Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields

1977 ◽  
Vol 11 (2) ◽  
pp. 85-92 ◽  
Author(s):  
V. I. Arnol'd
Keyword(s):  
Vector Fields ◽  
Loss Of Stability ◽  
Equivariant Vector Fields ◽  
Versal Deformations

scholarly journals Normal form theory for reversible equivariant vector fields

2016 ◽  
Vol 47 (3) ◽  
pp. 935-954 ◽  
Author(s):  
Patricia H. Baptistelli ◽  
Miriam Manoel ◽  
Iris O. Zeli
Keyword(s):  
Normal Form ◽  
Vector Fields ◽  
Normal Form Theory ◽  
Equivariant Vector Fields ◽  
Form Theory

Versal unfoldings of equivariant linear Hamiltonian vector fields

1993 ◽  
Vol 114 (3) ◽  
pp. 559-573 ◽  
Author(s):  
Ian Melbourne
Keyword(s):  
Vector Fields ◽  
Hamiltonian Vector ◽  
Hamiltonian Vector Fields ◽  
Versal Deformations ◽  
Equivariant Version ◽  
Symplectic Matrices

AbstractWe prove an equivariant version of Galin's theorem on versal deformations of infinitesimally symplectic matrices. Matrix families of codimension zero and one are classified, and the results are used to study the movement of eigenvalues in one parameter families.

scholarly journals Bifurcation and branching of equilibria in reversible-equivariant vector fields

Nonlinearity ◽  
2008 ◽  
Vol 21 (4) ◽  
pp. 625-660 ◽  
Author(s):  
Pietro-Luciano Buono ◽  
Jeroen S W Lamb ◽  
Mark Roberts
Keyword(s):  
Vector Fields ◽  
Equivariant Vector Fields
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