Hierarchies of Relations between Partial Dimensions and Local Expansion Rates in Strange Attractors

  • R. Badii
  • G. Broggi
Part of the NATO ASI Series book series (NSSB, volume 208)


Connections between local partial dimensions and Lyapunov exponents in nonlinear dynamical systems are studied by using symbolic dynamics. Equations for the probabilities of symbol sequences are derived, based on the structure of the logic tree. These show that the dimension spectrum f(α) cannot be obtained in closed form from the sole knowledge of the local Lyapunov exponents.


Periodic Orbit Lyapunov Exponent Invariant Measure Strange Attractor Symbol Sequence 
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Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • R. Badii
    • 1
    • 2
  • G. Broggi
    • 1
    • 2
  1. 1.Fakultät für PhysikUniversität KonstanzConstanceW.Germany
  2. 2.Physik-Institut der UniversitätZurichSwitzerland

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