The Lyapunov dimension of a nowhere differentiable attracting torus

نویسندگان

  • JOHN MALLET-PARET
  • A. Yorke
چکیده

The fractal dimension of an attracting torus Tk in lR x T" is shown to be almost always equal to the Lyapunov dimension as predicted by a previous conjecture. The cases studied here can have several Lyapunov nulJ!bers greater than I and several less than I

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تاریخ انتشار 2014