Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.21/3815
Título: Synchronization and Basins of Synchronized in Two-Dimensional Piecewise Maps Via Coupling Three Pieces of One-Dimensional Maps
Autor: Fournier-Prunaret, Danièle
Rocha, José Leonel Linhares da
Caneco, Acilina
Fernandes, Sara
Grácio, Clara
Palavras-chave: Almost global synchronization
Lyapunov exponents
Basins
Lyapunov functions
Data: Ago-2013
Editora: World Scientific Publications
Citação: FOURNIER-PRUNARET, Daniele; [et al] - Synchronization and Basins of Synchronized in Two-Dimensional Piecewise Maps Via Coupling Three Pieces of One-Dimensional Maps. International Journal of Bifurcation and Chaos. (2013).
Relatório da Série N.º: ;1350134
Resumo: This paper is devoted to the synchronization of a dynamical system defined by two different coupling versions of two identical piecewise linear bimodal maps. We consider both local and global studies, using different tools as natural transversal Lyapunov exponent, Lyapunov functions, eigenvalues and eigenvectors and numerical simulations. We obtain theoretical results for the existence of synchronization on coupling parameter range. We characterize the synchronization manifold as an attractor and measure the synchronization speed. In one coupling version, we give a necessary and sufficient condition for the synchronization. We study the basins of synchronization and show that, depending upon the type of coupling, they can have very different shapes and are not necessarily constituted by the whole phase space; in some cases, they can be riddled.
Peer review: yes
URI: http://hdl.handle.net/10400.21/3815
DOI: 10.1142/S0218127413501344
ISSN: 0218-1274
Versão do Editor: http://www.worldscientific.com/doi/abs/10.1142/S0218127413501344
Aparece nas colecções:ISEL - Matemática - Artigos



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