Asymptotic observability of low-dimensional powder chaos in a three-degrees-of-freedom scattering system

Gábor Drótos, Francisco González Montoya, Christof Jung, T. Tél

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We treat a chaotic Hamiltonian scattering system with three degrees of freedom where the chaotic invariant set is of low dimension. Then the chaos and its structure are not visible in scattering functions plotted along one-dimensional lines in the set of asymptotic initial conditions. We show that an asymptotic observer can nevertheless see the structure of the chaotic set in an appropriate scattering function on the two-dimensional impact parameter plane and in the doubly differential cross section. Rainbow singularities in the cross section carry over the symbolic dynamics of the chaotic set into the cross section. A smooth image of the fractal structure of the chaotic set can be reconstructed on the domain of the cross section.

Original languageEnglish
Article number022906
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume90
Issue number2
DOIs
Publication statusPublished - Aug 12 2014

Fingerprint

Fractals
Observability
Powder
Powders
chaos
Chaos
degrees of freedom
Degree of freedom
Scattering
Cross section
scattering functions
cross sections
scattering
rainbows
Fractal Structure
Symbolic Dynamics
fractals
Invariant Set
Observer
Initial conditions

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Medicine(all)

Cite this

Asymptotic observability of low-dimensional powder chaos in a three-degrees-of-freedom scattering system. / Drótos, Gábor; González Montoya, Francisco; Jung, Christof; Tél, T.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 90, No. 2, 022906, 12.08.2014.

Research output: Contribution to journalArticle

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