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Asymptotic dynamics in systems of two coupled quadratic maps

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  • Rădulescu, Anca
  • Kaslik, Eva
  • Fikl, Alexandru

Abstract

In our previous work, we initiated the study of dynamics in networks with identical nodes that evolve under complex quadratic iterations. For these Complex Quadratic Networks, (or CQNs for short), we focused on defining the equi-M set as the natural extension of the Mandelbrot set, representing the locus of complex parameters for which the network’s critical orbit remains bounded.

Suggested Citation

  • Rădulescu, Anca & Kaslik, Eva & Fikl, Alexandru, 2026. "Asymptotic dynamics in systems of two coupled quadratic maps," Chaos, Solitons & Fractals, Elsevier, vol. 202(P2).
    • Handle: RePEc:eee:chsofr:v:202:y:2026:i:p2:s0960077925015024
    DOI: 10.1016/j.chaos.2025.117489
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    References listed on IDEAS

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    1. Ari E. Kahn & Karol Szymula & Sophie Loman & Edda B. Haggerty & Nathaniel Nyema & Geoffrey K. Aguirre & Dani S. Bassett, 2025. "Network structure influences the strength of learned neural representations," Nature Communications, Nature, vol. 16(1), pages 1-19, December.
    2. Seabrook, Isobel E. & Barucca, Paolo & Caccioli, Fabio, 2021. "Evaluating structural edge importance in temporal networks," LSE Research Online Documents on Economics 112515, London School of Economics and Political Science, LSE Library.
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