Positive Lyapunov exponents in families of one dimensional dynamical systems (Q1210505)
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scientific article; zbMATH DE number 179517
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive Lyapunov exponents in families of one dimensional dynamical systems |
scientific article; zbMATH DE number 179517 |
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Positive Lyapunov exponents in families of one dimensional dynamical systems (English)
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17 August 1993
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A generalization of Jakobson's theorem [\textit{M. V. Jakobson}, Commun. Math. Phys. 81, 39--88 (1981; Zbl 0497.58017)] concerning abundance of chaotic systems with absolutely continuous invariant measures in a typical family of one-dimensional dynamical systems is given. A new precise estimate for the density of the corresponding parameters is obtained.
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one-parameter family
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absolutely continuous invariant measures
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one-dimensional dynamical systems
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density
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