Abstract
In the first part of this note we find conditions under which the frequency spectrum of a transformation exhibits delta functions. In the second part we show that if an ergodic flow on anm-dimensional manifold hasm−1 strictly negative characteristic exponents, then the measure is concentrated either on a fixed point or on a closed attracting orbit.
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Ruelle, D.: Ergodic theory of differentiable dynamical systems. Publications mathématiques I.H.E.S. No. 50 (1979)
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Communicated by D. Ruelle
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Campanino, M. Two remarks on the computer study of differentiable dynamical systems. Commun.Math. Phys. 74, 15–20 (1980). https://doi.org/10.1007/BF01197575
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DOI: https://doi.org/10.1007/BF01197575