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A discrete dynamical system generated by a diffeomorphism f on a compact manifold is considered. The Morse spectrum is the limit set of Lyapunov exponents of periodic pseudotrajectories. It is… Click to show full abstract
A discrete dynamical system generated by a diffeomorphism f on a compact manifold is considered. The Morse spectrum is the limit set of Lyapunov exponents of periodic pseudotrajectories. It is proved that the Morse spectrum coincides with the set of averagings of the function ϕ(x, e) = ln|Df(x)e| over the invariant measures of the mapping induced by the differential Df on the projective bundle.
Keywords:
measures projective;
projective bundle;
exponents invariant;
invariant measures;
lyapunov exponents
Journal Title: Mathematical Notes
Year Published: 2017
Link to full text (if available)
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Journal Title: Mathematical Notes
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!