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Fractal-AIMAS synergy for multiscale consciousness modeling in neuro-cybernetic systems: A multifractal, Kuramoto oscillator, and hybrid neuroprosthetic approach

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  • Dhatterwal, Jagjit Singh
  • Dipesh,

Abstract

This paper introduces a novel framework for modeling conscious states by integrating fractal decomposition theory with Autonomous Intelligent Multi-Agent Systems (AIMAS) in brain-cyborg interfaces. The approach employs multifractal analysis (including Hausdorff dimension and MF-DFA) and Iterated Function Systems (IFS) to decompose hybrid neuro-silical architectures into scale-invariant components, revealing hierarchical and self-similar patterns in functional connectivity. Within the AIMAS architecture, consciousness is conceptualized as a self-organizing fractal attractor, where agents act as fractal feature extractors, coupled via Kuramoto oscillators over scale-free Koch networks. The system dynamics are modeled using stochastic partial differential equations (SPDEs), while distinct conscious states (e.g., wakefulness vs. anesthesia) are characterized using Lyapunov exponents and lacunarity-based strange attractors. Experimental validation is conducted using ECoG and neuroprosthetic datasets, along with synthetic Local Field Models (LFMs), benchmarked against LSTM and Transformer architecture. The fractal-AIMAS synergy paradigm is capable of exceeding 100 % admissibility of high-fidelity neuro-cybernetics in both performance and optimality.

Suggested Citation

  • Dhatterwal, Jagjit Singh & Dipesh,, 2025. "Fractal-AIMAS synergy for multiscale consciousness modeling in neuro-cybernetic systems: A multifractal, Kuramoto oscillator, and hybrid neuroprosthetic approach," Chaos, Solitons & Fractals, Elsevier, vol. 201(P3).
    • Handle: RePEc:eee:chsofr:v:201:y:2025:i:p3:s0960077925014067
    DOI: 10.1016/j.chaos.2025.117393
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    References listed on IDEAS

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    1. Thomas F Varley & Michael Craig & Ram Adapa & Paola Finoia & Guy Williams & Judith Allanson & John Pickard & David K Menon & Emmanuel A Stamatakis, 2020. "Fractal dimension of cortical functional connectivity networks & severity of disorders of consciousness," PLOS ONE, Public Library of Science, vol. 15(2), pages 1-20, February.
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