Lyapunov Exponents of Symmetric Attractors

نویسندگان

  • Philip J Aston
  • Ian Melbourne
چکیده

The Lyapunov exponents of symmetric attractors can be forced to be multiple by “instantaneous symmetries” which fix the attractor pointwise. In this paper, we show that “symmetries on average” which fix the attractor as a set may lead to further multiplicities. This work is motivated by, and provides an explanation for, numerical computations by Aston & Laing of Lyapunov exponents for the complex Ginzburg-Landau equation.

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تاریخ انتشار 2011