Horizontal Visibility graphs generated by type-II intermittency
نویسندگان
چکیده
In this contribution we study the onset of chaos via type-II intermittency within the framework of Horizontal Visibility graph theory. We construct graphs associated to time series generated by an iterated map close to a Neimark–Sacker bifurcation and study, both numerically and analytically, their main topological properties. We find well defined equivalences between the main statistical properties of intermittent series (scaling of laminar trends and Lyapunov exponent) and those of the resulting graphs, and accordingly construct a graph-theoretical description of type-II intermittency. We finally recast this theory into a graph-theoretical renormalization group (RG) framework, and show that the fixed point structure of RG flow diagram separates regular, critical and chaotic dynamics.
منابع مشابه
Horizontal visibility graphs generated by type-I intermittency.
The type-I intermittency route to (or out of) chaos is investigated within the horizontal visibility (HV) graph theory. For that purpose, we address the trajectories generated by unimodal maps close to an inverse tangent bifurcation and construct their associated HV graphs. We show how the alternation of laminar episodes and chaotic bursts imprints a fingerprint in the resulting graph structure...
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