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Physics deals with Newtonian particles described by position q and momentump. The precision of the simultaneous measurement of q and p is limited by theuncertainty relation ruled by Planck's constant. From the uncertainty relationall quantum consequences emerge, including entanglement. On the other hand,Homoclinic Chaos (HC) , that consists of sequences of identical pulses,unevenly spaced in time, entails a non-Newtonian description. Synchronizationof finite HC spike sequences (SFSS) display quantum features ruled by aconstant different from hbar, yielding entanglement. As a relevant example, wedescribe how brain neurons generate HC voltage pulses. SFSS is the way twodifferent words coded as HC pulses compare their content and extract ameaningful sequence by exploiting quantum entanglement that lasts over ade-coherence time in the range of human linguistic processes.

Quantum entanglement in the Synchronization of Homoclinic Chaotic Spike Sequences