MGAT10 - Chaos in rotating systems |
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Speaker |
Toporensky, Alexey |
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Talk Title |
Regular and chaotic regimes in scalar field cosmology |
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Abstract |
We consider a dynamical system describing evolution of a closed isotropic Universe in the presence of a scalar field. Several types of dynamics can be identified: for a power-law scalar field potentials a transient chaos exists, for exponentially steep potentials it can disappear, for shallow potentials ($V \sim \phi^{\alpha}$ with $\alpha< 1.2$) islands of regular dynamics appear in the chaotic "sea". Some simple analitical criteria for chaos to exist in this system are described. |
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