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nlin.CD2017
Persistence of Li-Yorke chaos in systems with relay
Marat Akhmet, Mehmet Onur Fen, Ardak Kashkynbayev
It is rigorously proved that the chaotic dynamics of the non-smooth system with relay function is persistent even if a chaotic perturbation is applied. We consider chaos in a modif…
nlin.CD2016
Replication of Li-Yorke Chaos Near a Homoclinic Orbit
Marat Akhmet, Michal Fečkan, Mehmet Onur Fen +1
We prove the presence of chaos near a homoclinic orbit in the modified Li-Yorke sense [10] by implementing chaotic perturbations. A Duffing oscillator is considered to show the eff…