An invariant measure of chaos for homogeneous cosmologies (Q2762351)
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scientific article; zbMATH DE number 1687719
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An invariant measure of chaos for homogeneous cosmologies |
scientific article; zbMATH DE number 1687719 |
Statements
5 August 2003
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cosmology
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chaos
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Lyapunov exponent
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Hamiltonian
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An invariant measure of chaos for homogeneous cosmologies (English)
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The problem of defining chaos in cosmologies is the coordinate-dependent Lyapunov exponent. The dependence stems from the fact that time is a coordinate and not absolutely defined over all of phase-space. Appropriate coordinate transformations lead to an invariant parametrization of the cosmological system's evolution. With the help of this the authors investigate an invariant definition of the Lyapunov exponent.
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