Lyapunov irregular sets exhibit distributional chaos of type 1 under exponential specification and distinct ergodic Lyapunov spectra for Holder matrix cocycles.
Tian, Nonexistence of Lyapunov exponents for matrix cocycles , Annales de l¨Institut Henri Poincar, Probabilits et Statistiques, 2017, 53(1):493-502
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Laypunov Irregular Points With Distributional Chaos
Lyapunov irregular sets exhibit distributional chaos of type 1 under exponential specification and distinct ergodic Lyapunov spectra for Holder matrix cocycles.