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Normal Form Theory For Reversible Equivariant Vector Fields
(Springer HeidelbergHeidelberg, 2016)
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 ...
Piecewise smooth dynamical systems: Persistence of periodic solutions and normal forms
(2016-04-05)
We consider an n-dimensional piecewise smooth vector field with two zones separated by a hyperplane σ which admits an invariant hyperplane Ω transversal to σ containing a period annulus A fulfilled by crossing periodic ...
The Bogdanov-Takens Normal Form: A Minimal Model for Single Neuron Dynamics
(MDPI AG, 2015)
Conductance-based (CB) models are a class of high dimensional dynamical systems derived from biophysical principles to describe in detail the electrical dynamics of single neurons. Despite the high dimensionality of these ...
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)
Surjective multiband linear cellular automata and Smith's normal formAutómatas celulares sobreyectivos multibanda y la forma normal de Smith
(Universidad Centroccidental Lisandro Alvarado, 2009)
A forma normal de Gustavson e aplicações no estudo da estabilidade de soluções de equilíbrio de sistemas hamiltonianos degenerados
(Pós-Graduação em MatemáticaUniversidade Federal de Sergipe, 2023)
On pairs of polynomial planar foliations
(Juliusz Schauder Ctr Nonlinear StudiesTorunPolónia, 2007)
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, ...