Replication of period-doubling route to chaos in coupled systems with delay | Zendy

Mehmet Onur Fen | Zendy; Fatma Tokmak Fen | Zendy

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Replication of period-doubling route to chaos in coupled systems with delay

Author(s) -

Mehmet Onur Fen,

Fatma Tokmak Fen

Publication year - 2022

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2202599f

Subject(s) - cascade , replication (statistics) , mathematics , period doubling bifurcation , sensitivity (control systems) , bounded function , interval (graph theory) , chaos (operating system) , period (music) , doubling time , computer science , nonlinear system , mathematical analysis , combinatorics , statistics , physics , bifurcation , quantum mechanics , electronic engineering , chemistry , computer security , chromatography , acoustics , engineering , biochemistry , in vitro

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.

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