Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

On a certain map of a triangle

100%

Świrszcz G.

Fundamenta Mathematicae

1998

tom 155

nr 1

45-57

The paper answers some questions asked by Sharkovski concerning the map F:(u,v) ↦ (u(4-u-v),uv) of the triangle Δ = {u,v ≥ 0: u+v ≤ 4}. We construct an absolutely continuous σ-finite invariant measure for F. We also prove the following strange phenomenon. The preimages of side I = Δ ∩ {v=0} form a dense subset $∪F^{-n}(I)$ of Δ and there is another dense set Λ consisting of points whose orbits approach the interval I but are not attracted by I.

Versal deformations of $D_q$-invariant 2-parameter families of planar vector fields

100%

Świrszcz G.

Annales Polonici Mathematici

1995

tom 62

nr 3

265-281

The paper deals with 2-parameter families of planar vector fields which are invariant under the group $D_q$ for q ≥ 3. The germs at z = 0 of such families are studied and versal families are found. We also give the phase portraits of the versal families.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Fundamenta Mathematicae

2 Świrszcz G.

1 1998

1 1995

Wyniki wyszukiwania

On a certain map of a triangle

Versal deformations of $D_q$-invariant 2-parameter families of planar vector fields