MAP part of a Chua oscillator shows "charged" bifurcation singularities (presented at CHAOS2008) Bernd Binder, 30.5.2008

JZ=j, cos(jpa) = +-Ma . This relation describes the singularity condition of the chaotic attractor (leading to bifurcation cycles at higher j/M) emerging as a neural unit part of a recurrent holonomy network (CHAOS 2008 presentation notes, paper) .
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The "Magic Angle Precession" nonlinear element can control the coupling strength part of a differential equation system well known in Chaos theory as Chua's oscillator. If j is about 5% below M a self-regenerating oppositely charged second party emerges (the smaller vortex), where the corresponding geometric phase bifurcation singularity can be related to a magnetic monopole.

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