Geodesic
Replication of period-doubling route to chaos in coupled systems with delay
Filomat, Tome 36 (2022) no. 2, p. 599

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DOI

In this study, replication of a period-doubling cascade in coupled systems with delay is rigorously proved under certain assumptions, which guarantee the existence of bounded solutions and replication of sensitivity. A novel definition for replication of sensitivity is utilized, in which the proximity of solutions is considered in an interval instead of a single point. Examples with simulations supporting the theoretical results concerning sensitivity and period-doubling cascade are provided
DOI : 10.2298/FIL2202599F
Classification : 34K23, 34K18, 37D45, 34K13
Keywords: replication of chaos, period-doubling cascade, sensitivity, systems with delay, unidirectional coupling 
Mehmet Onur Fen; Fatma Tokmak Fen. Replication of period-doubling route to chaos in coupled systems with delay. Filomat, Tome 36 (2022) no. 2, p. 599 . doi: 10.2298/FIL2202599F
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     title = {Replication of period-doubling route to chaos in coupled systems with delay},
     journal = {Filomat},
     pages = {599 },
     year = {2022},
     volume = {36},
     number = {2},
     doi = {10.2298/FIL2202599F},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2202599F/}
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