36 citations · 93 across the 6 of their papers we have counts for
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nlin.CD2007★ 36 cited
Prevalence of marginally unstable periodic orbits in chaotic billiards
E. G. Altmann, T. Friedrich, A. E. Motter +2
The dynamics of chaotic billiards is significantly influenced by coexisting regions of regular motion. Here we investigate the prevalence of a different fundamental structure, whic…
nlin.CD2000★ 14 cited
Relation between coupled map lattices and kinetic Ising models
F. Schmuser, W. Just, H. Kantz
A spatially one dimensional coupled map lattice possessing the same symmetries as the Miller Huse model is introduced. Our model is studied analytically by means of a formal pertur…
nlin.CD2000★ 13 cited
Local estimates for entropy densities in coupled map lattices
Eckehard Olbrich, Rainer Hegger, Holger Kantz
We present a method to derive an upper bound for the entropy density of coupled map lattices with local interactions from local observations. To do this, we use an embedding techni…