TY - JOUR
T1 - Synchronization of fractals in logarithmic spirals
AU - Gregson, R
PY - 2019
Y1 - 2019
N2 - Synchronization is not treated here is a fundamental necessary property, but is transient and derivative on sequences that are generated by nonlinearity in time series which arise in neural brain processes, and in bottom-up top-down network dynamics. We illustrate in figures some properties using Markov matrices, open symbolic dynamic nets, and fields on Julia sets. The work by Vrobel (2011), in Chapter 6, about Temporal Binding: Synchronizing Perceptions, is cited. We find both symmetrical and spiral patterns on local regions of Julia sets, and discontinuous series in the dynamics of some region that are recordable in the neurophysiology of intermittent consciousness. Synchronization can also be called self-similarity, in induced noncommutative geometry.
AB - Synchronization is not treated here is a fundamental necessary property, but is transient and derivative on sequences that are generated by nonlinearity in time series which arise in neural brain processes, and in bottom-up top-down network dynamics. We illustrate in figures some properties using Markov matrices, open symbolic dynamic nets, and fields on Julia sets. The work by Vrobel (2011), in Chapter 6, about Temporal Binding: Synchronizing Perceptions, is cited. We find both symmetrical and spiral patterns on local regions of Julia sets, and discontinuous series in the dynamics of some region that are recordable in the neurophysiology of intermittent consciousness. Synchronization can also be called self-similarity, in induced noncommutative geometry.
U2 - shop/volume-13-issue-2-3-2019-chaos-and-complexity-letters/#:~:text=Synchronization%20of%20Fractals%20in%20Logarithmic%20Spirals
DO - shop/volume-13-issue-2-3-2019-chaos-and-complexity-letters/#:~:text=Synchronization%20of%20Fractals%20in%20Logarithmic%20Spirals
M3 - Letter
VL - 13
SP - 319
EP - 329
JO - Chaos and Complexity Letters
JF - Chaos and Complexity Letters
IS - 2-Mar
ER -