Journal
CHAOS
Volume 33, Issue 8, Pages -Publisher
AIP Publishing
DOI: 10.1063/5.0163463
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This article introduces Li-Yorke chaos of linear differential equations in a finite-dimensional space with a weak topology. Based on this topology on the Euclidean space, it is proved that a flow generated from a linear differential equation can be Li-Yorke chaotic under certain conditions, which is in sharp contrast to the well-known fact that linear differential equations cannot exhibit chaos in a finite-dimensional space with a strong topology.
Li-Yorke chaos of linear differential equations in a finite-dimensional space with a weak topology is introduced. Based on this topology on the Euclidean space, a flow generated from a linear differential equation is proved to be Li-Yorke chaotic under certain conditions, which is in sharp contract to the well-known fact that linear differential equations cannot be chaotic in a finite-dimensional space with a strong topology.
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