66 citations · 66 across the 2 of their papers we have counts for
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Periodic orbit theory of two coupled Tchebyscheff maps
C. P. Dettmann, D. Lippolis
Coupled map lattices have been widely used as models in several fields of physics, such as chaotic strings, turbulence, and phase transitions, as well as in other disciplines, such…
Note on chaos and diffusion
C. P. Dettmann, E. G. D. Cohen
Using standard definitions of chaos (as positive Kolmogorov-Sinai entropy) and diffusion (that multiple time distribution functions are Gaussian), we show numerically that both cha…
The Burnett expansion of the periodic Lorentz gas
C. P. Dettmann
Recently, stretched exponential decay of multiple correlations in the periodic Lorentz gas has been used to show the convergence of a series of correlations which has the physical…
Microscopic chaos and diffusion
C. P. Dettmann, E. G. D. Cohen
We investigate the connections between microscopic chaos, defined on a dynamical level and arising from collisions between molecules, and diffusion, characterized by a mean square…