Maciej P. Wojtkowski
Published 2015-02-10Version 1
A class of left-invariant second order reversible systems with functional parameter is introduced which exhibits the phenomenon of robust integrability: an open and dense subset of the phase space is filled with invariant tori carrying quasi-periodic motions, and this behavior persists under perturbations within the class. Real-analytic volume preserving systems are found in this class which have positive Lyapunov exponents on an open subset, and the complement filled with invariant tori.
Reversibility in the group of homeomorphisms of the circle
Reversibility of additive CA as function of cylinder size
Reversibility in the diffeomorphism group of the real line
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