Geodesic
A novel criterion for unpredictable motions
Filomat, Tome 37 (2023) no. 18, p. 6151

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DOI

We demonstrate the extension of unpredictable motions in coupled autonomous systems with skew product structure in the case that generalized synchronization takes place. Sufficient conditions for the existence of unpredictable motions in the dynamics of the response system are provided. The theoretical results are exemplified for coupled autonomous systems in which the drive is a hybrid dynamical system and the response is a Lorenz system. The auxiliary system approach and conditional Lyapunov exponents are utilized to detect the presence of generalized synchronization.
DOI : 10.2298/FIL2318151T
Classification : 34C15, 34C28, 34D06
Keywords: Unpredictable solution, Generalized synchronization, Auxiliary system approach, Conditional Lyapunov exponent, Poincaré chaos, Lorenz system 
Fatma Tokmak Fen; Mehmet Onur Fen; Marat Akhmet. A novel criterion for unpredictable motions. Filomat, Tome 37 (2023) no. 18, p. 6151 . doi: 10.2298/FIL2318151T
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     author = {Fatma Tokmak Fen and Mehmet Onur Fen and Marat Akhmet},
     title = {A novel criterion for unpredictable motions},
     journal = {Filomat},
     pages = {6151 },
     year = {2023},
     volume = {37},
     number = {18},
     doi = {10.2298/FIL2318151T},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2318151T/}
}
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