Geodesic
”Windows of Synchronization” and ”Non-chaotic Windows”
Luís Mário Lopes1 ; Sara Fernandes2 ; Clara Grácio2
1 Department of Mathematics, ISEL, Rua Conselheiro Emídio Navarro, 1, 1959-007 Lisboa, Portugal,
2 Department of Mathematics, Escola Ciências e Tecnologia, Universidade de Évora, CIMA-UE, Rua Romão Ramalho, 59, 7000-585 Évora, Portugal,
ESAIM. Proceedings, Tome 46 (2014), pp. 163-176 Cet article a éte moissonné depuis la source EDP Sciences

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The dynamic of a chaotic dynamical system changes if we couple it together with another one. The changes depend on the dynamic of the systems and on the way the coupling is made. The strength of the coupling is controlled by the coupling strength constant. For some values of this constant synchronization may occur, defining a “window of synchronization”. We investigate the existence of this “window” for different dynamics and different couplings. We verify that other “windows” may occur. They are related to the fact that some couplings seem to confine drastically the chaotic behavior of the dynamical systems. We investigate one of these “windows”, the “fixed point non-chaotic window”, for the Symmetric Linear Coupling.
DOI : 10.1051/proc/201446014

Luís Mário Lopes 1 ; Sara Fernandes 2 ; Clara Grácio 2

1 Department of Mathematics, ISEL, Rua Conselheiro Emídio Navarro, 1, 1959-007 Lisboa, Portugal,
2 Department of Mathematics, Escola Ciências e Tecnologia, Universidade de Évora, CIMA-UE, Rua Romão Ramalho, 59, 7000-585 Évora, Portugal, 
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Luís Mário Lopes; Sara Fernandes; Clara Grácio. ”Windows of Synchronization” and ”Non-chaotic Windows”. ESAIM. Proceedings, Tome 46 (2014), pp. 163-176. doi: 10.1051/proc/201446014

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