SYNCHRONIZATION IN COUPLED MAP LATTICES WITH PERIODIC BOUNDARY CONDITION
1999 ◽
Vol 09
(08)
◽
pp. 1635-1652
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Keyword(s):
We consider a lattice of coupled logistic maps with periodic boundary condition. We prove that synchronization and almost synchronization occur for the case of 1D lattice with lattice size n=2, 3, 4 provided the coupling strength c is chosen in a suitable open interval contained in [Formula: see text]. For the case of lattice size n≥4, we also show the numerical results of (almost) synchronized chaotic behavior of the coupled map lattice. For each fixed parameter γ∈ [3.57, 4] of the logistic maps, the lattice sizes and the ranges of the coupling strengths c so that the coupled map lattice is synchronized, are given.
2016 ◽
Vol 43
(4)
◽
pp. 350-367
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2009 ◽
Vol 223
(8)
◽
pp. 1889-1901
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2014 ◽
Vol 23
(5)
◽
pp. 884-900
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2014 ◽
Vol 228
(7)
◽
pp. 643-651
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2010 ◽
Vol 28
(4)
◽
pp. 1635-1654
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Keyword(s):
Keyword(s):