On the organisation of transient chaos-application to irregular scattering
- 21 July 1989
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 22 (14) , L691-L698
- https://doi.org/10.1088/0305-4470/22/14/008
Abstract
It is shown how the local structure of chaotic repellers, being responsible for transient chaotic behaviour, is deduced from the properties of hyperbolic periodic orbits. Relations between static and dynamical multifractal spectra, with respect to the natural invariant measure on the repeller, are derived for invertible maps of the plane. The results obtained for maps with unit Jacobian apply to Hamiltonian systems with two degrees of freedom which exhibit the phenomenon of irregular scattering and are characterised by an exponential decay of trapping probability.Keywords
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