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ATTRACTORS IN CONSERVATIVE SYSTEMS

G. CONTOPOULOS

Academy of Athens, Research Center for Astronomy, Soranou Efessiou 4, 11527 Athens, Greece

https://doi.org/10.1142/S0218127406015684Cited by:2 (Source: Crossref)

Abstract

Normally, conservative systems do not have attractors. However, in a system with escapes, the infinity acts as an attractor. Furthermore, attractors may appear as singularities at a finite distance. We consider the basins of escape in a particular Hamiltonian system with escapes and the rates of escape for various values of the parameters. Then we consider the basins of attraction of a system of two fixed black holes, with particular emphasis on the asymptotic curves of its unstable periodic orbits.

Keywords:

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