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Structural stability and normal forms of piecewise smooth vector fields on R-3
(Kossuth Lajos Tudomanyegyetem, 2015-01-01)
The main goal of this paper is to exhibit normal forms of generic locally structurally stable piecewise smooth vector fields on R-3. Besides, we construct the homeomorphism that gives the topological equivalence between ...
Normal Forms for Codimension One Planar Piecewise Smooth Vector Fields
(World Scientific Publ Co Pte Ltd, 2014-07-01)
In this paper, we are dealing with piecewise smooth vector fields in a 2D-manifold. In such a scenario, the main goal of this paper is to exhibit the homeomorphism that gives the topological equivalence between a codimension ...
Normal Forms for Codimension One Planar Piecewise Smooth Vector Fields
(World Scientific Publ Co Pte Ltd, 2015)
Peixoto's Theorem for vector fields on S2 with impasse points
(2013-09-01)
The structural stability of vector fields with impasse regular curves on S2 is studied and a version of Peixoto's Theorem is established. Moreover a global analysis of normal forms of the constrained systems. A(x).ẋ=F(x) ...
Peixoto's Theorem for vector fields on S2 with impasse points
(2013-09-01)
The structural stability of vector fields with impasse regular curves on S2 is studied and a version of Peixoto's Theorem is established. Moreover a global analysis of normal forms of the constrained systems. A(x).ẋ=F(x) ...
ON THE SIMILARITY OF HAMILTONIAN AND REVERSIBLE VECTOR FIELDS IN 4D
(Amer Inst Mathematical SciencesSpringfieldEUA, 2011)
On pairs of polynomial planar foliations
(Juliusz Schauder Ctr Nonlinear StudiesTorunPolónia, 2007)
Smooth classification of 1-resonant vector fields on R-3
(Springer-verlagNew YorkEUA, 2000)
Codimension two singularities of sliding vector fields
(Societe Mathematique BelgiqueBrusselsBélgica, 1999)
Normal forms and global phase portraits of quadratic and cubic integrable vector fields having two nonconcentric circles as invariant algebraic curves
(2017-07-03)
In this paper, we give the normal form of all planar polynomial vector fields of degree d ≤ 3 having two nonconcentric circles C1 and C2 as invariant algebraic curves and the function H=Cβ 1 Cα 2, with α and β real values, ...