Lévy flights in comet motion and related chaotic systems

Details Lévy flights in comet motion and related chaotic systems Lévy flights in comet motion and related chaotic systems

Aug 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001phla..287..217z&link_type=abstract

Physics Letters A, Volume 287, Issue 3-4, p. 217-222.

Physics

2

Scientific paper

We obtain a 2-dimensional area-preserving map to study the dynamical evolution of comets. The presence of singularities in the energy-increment function leads to the Lévy flight random walks for the comet energies, which results in a linear increment of the energy with time. A model of stochastic dynamical system is proposed according to the map of the comet motion, which shows the existence of strong super-diffusive random walks so that the variance of the distributions can grow with time /n as n2m with /m>=1/2.

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