القائمة
Novel coupling methodology for Rulkov neural maps preserving chaos and generating strange attractors
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npx skills add https://github.com/hiyenwong/ai_collection --skill rulkov-neural-maps-cross-couplingيبقى الأمر في سطر واحد. مرّر أفقيًا لمراجعته كاملًا قبل النسخ.
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استنادا إلى تصنيف SOC المهني
عرض SKILL.md
| name | rulkov-neural-maps-cross-coupling |
| title | Rulkov Neural Maps Cross Coupling |
| description | Novel coupling methodology for Rulkov neural maps preserving chaos and generating strange attractors |
| trigger_words | ["rulkov neural maps","cross coupling neural maps","neural map coupling","devaney chaos neural","strange attractor neural"] |
This skill implements the novel cross-coupling methodology for Rulkov neural maps introduced in arXiv:2607.22318. The approach provides a biologically-inspired coupling mechanism that preserves key dynamical properties while enabling complex emergent behaviors in coupled neural systems.
The standard Rulkov map consists of fast variable x and slow variable y:
x_{n+1} = f(x_n, y_n)
y_{n+1} = y_n + μ(σ - x_n - y_n)
The novel coupling introduces interactions between slow variables of different neurons, with heuristic biological interpretation for perturbation transitions.
Using Marotto's theorem, the existence of snap-back repellers in the original system implies Devaney chaos preservation in the coupled system.
Use this skill when working with: