Wyniki wyszukiwania

1

A note on strange nonchaotic attractors

100%

Keller G.

Fundamenta Mathematicae

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1996

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tom 151

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nr 2

139-148

EN

For a class of quasiperiodically forced time-discrete dynamical systems of two variables (θ,x) ∈ ${\sym T}^1 × ℝ_+$ with nonpositive Lyapunov exponents we prove the existence of an attractor Γ̅ with the following properties: 1. Γ̅ is the closure of the graph of a function x = ϕ(θ). It attracts Lebesgue-a.e. starting point in ${\sym T}^1 ×ℝ_+$. The set {θ:ϕ(θ) ≠ 0} is meager but has full 1-dimensional Lebesgue measure. 2. The omega-limit of Lebesgue-a.e point in ${\sym T}^1 × ℝ_+$ is $Γ̅$, but for a residual set of points in ${\sym T}^1 × ℝ_+$ the omega limit is the circle {(θ,x):x = 0} contained in Γ̅. 3. Γ̅ is the topological support of a BRS measure. The corresponding measure theoretical dynamical system is isomorphic to the forcing rotation.

2

Completely mixing maps without limit measure

100%

Keller G.

Colloquium Mathematicum

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2004

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tom 100

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nr 1

73-76

EN

We combine some results from the literature to give examples of completely mixing interval maps without limit measure.

3

A note on dynamical zeta functions for S-unimodal maps

100%

Keller G.

Colloquium Mathematicum

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2000

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tom 84/85

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nr 1

229-233

EN

Let f be a nonrenormalizable S-unimodal map. We prove that f is a Collet-Eckmann map if its dynamical zeta function looks like that of a uniformly hyperbolic map.

4

On the uniqueness of equilibrium states for piecewise monotone mappings

51%

Denker M., Keller G., Urbański M.

Studia Mathematica

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1990

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tom 97

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nr 1

27-36

Ograniczanie wyników

2 Colloquium Mathematicum

1 Fundamenta Mathematicae

1 Studia Mathematica

4 Keller G.

1 Denker M.

1 Urbański M.

1 2004

1 2000

1 1996

1 1990

A note on strange nonchaotic attractors

Completely mixing maps without limit measure

A note on dynamical zeta functions for S-unimodal maps

On the uniqueness of equilibrium states for piecewise monotone mappings