Relativistic invariance of Lyapunov exponents in bounded and unbounded systems.

The study of chaos in relativistic systems has been hampered by the observer dependence of Lyapunov exponents (LEs) and of conditions, such as orbit boundedness, invoked in the interpretation of LEs as indicators of chaos. Here we establish a general framework that overcomes both difficulties and apply the resulting approach to address three fundamental questions: how LEs transform under Lorentz and Rindler transformations and under transformations to uniformly rotating frames. The answers to the first and third questions show that inertial and uniformly rotating observers agree on a characterization of chaos based on LEs. The second question, on the other hand, is an ill-posed problem due to the event horizons inherent to uniformly accelerated observers.

• Publication year

  2009

• Venue

  Physical Review Letters

• Publication date

  2009-03-13

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.102.184101arXiv 0903.2296PMID 19518874
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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