New results on bifurcation for fractional-order octonion-valued neural networks involving delays*

Xu, Changjin; Lin, Jinting; Zhao, Yingyan; Cui, Qingyi; Ou, Wei; Pang, Yicheng; Liu, Zixin; Liao, Maoxin; Li, Peiluan

doi:10.1080/0954898x.2024.2332662

Cited by 8 publications

(1 citation statement)

References 55 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To develop the control theory, we adopt reservoir computing or morphological computation [59][60][61] applied to the QFT approach in a hierarchy [62]. We then need to investigate the correlation between bosonic quantum fields and neural network, which can be described by fractional-order differential and optimal control, nonlocal evolution equations [63], and the fractional-order neural network [64][65][66]. If our brain adopts the language of holography, we can manipulate hologram memory involving our subjective experiences by external light and sound fields.…”

Section: Discussionmentioning

confidence: 99%

Quantum Brain Dynamics: Optical and Acoustic Super-Radiance via a Microtubule

Nishiyama,

Tanaka,

Tuszynski

2024

Foundations

View full text Add to dashboard Cite

We aim to derive a super-radiance solution of coherent light and sound waves involving water degrees of freedom in the environment of a microtubule. We introduce a Lagrangian density functional of quantum electrodynamics with non-relativistic charged bosons as a model of quantum brain dynamics (QBD) involving water molecular conformational states and photon fields. We also introduce the model of charged boson fields (water degrees of freedom) coupled with phonons. Both optical and acoustic super-radiance solutions are derived in our approach. An acoustic super-radiance mechanism involving information transfer is proposed as an additional candidate to solve the binding problem and to achieve acoustic holography. Our results can be applied to achieve holographic memory storage and information processing in QBD.

show abstract