55 citations · 444 across the 60 of their papers we have counts for
4 papers · 1 filter
Entropy via multiplicity
Boris Kruglikov, Martin Rypdal
The topological entropy of piecewise affine maps is studied. It is shown that singularities may contribute to the entropy only if there is angular expansion and we bound the entrop…
A piece-wise affine contracting map with positive entropy
Boris Kruglikov, Martin Rypdal
We construct the simplest chaotic system with a two-point attractor.
Dynimics and entropy in the Zhang model of Self-Organized Criticality
Boris S. Kruglikov, Martin Rypdal
We give a detailed study of dynamical properties of the Zhang model, including evaluation of topological entropy and estimates for the Lyapunov exponents and the dimension of the a…
Examples of integrable sub-Riemannian geodesic flows
Boris Kruglikov
Motivated by a paper of Bolsinov and Taimanov DG/9911193 we consider non-holonomic situation and exhibit examples of sub-Riemannian metrics with integrable geodesic flows and posit…