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Nonlinear Analogue of the May-Wigner Instability Transition
(PNAS, 2016-01)
We study a system of $N\gg 1$ degrees of freedom coupled via a smooth homogeneous Gaussian vector field with both gradient and divergence-free components. In the absence of coupling, the system is exponentially relaxing ...
Horizontal visibility graphs from integer sequences
(2016-09-02)
Sequential visibility-graph motifs.
(American Physical Society, 2016-04-14)
Visibility algorithms transform time series into graphs and encode dynamical information in their topology, paving the way for graph-theoretical time series analysis as well as building a bridge between nonlinear dynamics ...
Renormalizable two-parameter piecewise isometries.
(2016-06)
We exhibit two distinct renormalization scenarios for two-parameter piecewise isometries, based on 2π/5 rotations of a rhombus and parameter-dependent translations. Both scenarios rely on the recently established ...
Percolation in real multiplex networks
(2016-12-16)