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The equivalence relationship between Li-Yorke $\delta$-chaos and distributional $\delta$-chaos in a sequence
Li-Yorke chaos distributional chaos in a sequence transitive system
2011/2/28
In this paper, we discuss the relationship between Li-Yorke chaos and distributional chaos in a sequence.
A nonlinear small-world network model has been presented to investigate the effect of nonlinear interaction and time delay on the dynamic properties of small-world networks. Both numerical simulations...
The appearance of infinitely-many period-doubling cascades is one of the most prominent features observed in the study of maps depending on a parameter. They are associated with chaotic behavior, sinc...
Stability and chaos in coupled two-dimensional maps on Gene Regulatory Network of bacterium E.Coli
two-dimensional maps complex networks bacterium E.Coli
2010/4/2
The collective dynamics of coupled two-dimensional chaotic maps on complex networks is known to exhibit a rich variety of emergent properties which crucially depend on the underlying network topology....
Level statistics in arithmetical and pseudo-arithmetical chaos
arithmetical pseudo-arithmetical chaos
2010/4/1
We resolve a long-standing riddle in quantum chaos, posed by certain fully chaotic billiards with constant negative curvature whose periodic orbits are highly degenerate in length. Depending on the bo...