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A novel criterion for unpredictable motions
Date
2023-01-01
Author
FEN, FATMA
Fen, Mehmet Onur
Akhmet, Marat
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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.
Subject Keywords
Subject Classification
,
Unpredictable solution
,
Generalized synchronization
,
Auxiliary system approach
,
Conditional Lyapunov exponent
,
Poincar? chaos
,
Lorenz system
,
GENERALIZED SYNCHRONIZATION
,
INVARIANT-MANIFOLDS
,
CHAOS
URI
https://hdl.handle.net/11511/102978
Journal
FILOMAT
DOI
https://doi.org/10.2298/fil2318151t
Collections
Department of Mathematics, Article
Citation Formats
IEEE
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MLA
BibTeX
F. FEN, M. O. Fen, and M. Akhmet, “A novel criterion for unpredictable motions,”
FILOMAT
, vol. 37, no. 18, pp. 6151–6160, 2023, Accessed: 00, 2023. [Online]. Available: https://hdl.handle.net/11511/102978.