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arXiv · 1505.05091

Variety of regimes of star-like networks of Henon maps

Pavel V. Kuptsov·Anna V. Kuptsova
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Abstract

In this paper we categorize dynamical regimes demonstrated by star-like networks with chaotic nodes. This analysis is done in view of further studying of chaotic scale-free networks, since a star-like structure is the main motif of them. We analyze star-like networks of Henon maps. They are found to demonstrate a huge diversity of regimes. Varying the coupling strength we reveal chaos, quasiperiodicity, and periodicity. The nodes can be both fully- and phase-synchronized. The hub node can be either synchronized with the subordinate nodes or oscillate separately from fully synchronized subordinates. There is a range of wild multistability where the zoo of regimes is the most various. One can hardly predict here even a qualitative nature of the expected solution, since each perturbation of the coupling strength or initial conditions results in a new character of dynamics.

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Pavel V. Kuptsov, Anna V. Kuptsova. 2015-09-29. Variety of regimes of star-like networks of Henon maps. https://doi.org/10.1103/physreve.92.042912

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