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Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-018-4119-z
Abstract: It is well known that the Lyapunov exponent plays a fundamental role in dynamical systems. In this note, we propose a definition of Lyapunov exponent for Lipschitz maps, which are not necessarily differentiable. Additionally, we…
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Keywords:
lyapunov exponent;
dynamical systems;
lipschitz maps;
exponent lipschitz ... See more keywords
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1
Published in 2022 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125550
Abstract: Abstract Let X be a compact metric space and let C ( Y ) be the space of all complex-valued continuous functions on a Hausdorff compact space Y. We prove that the isometry group of…
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Keywords:
isometries algebras;
topologically reflexive;
valued lipschitz;
reflexivity isometries ... See more keywords