27 citations · 43 across the 4 of their papers we have counts for
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math.DS2026
Global analysis of the Kuramoto flow
Daniel Burns, Gregorio Malajovich, Charles Pugh +2
Kuramoto's differential equation describes a synchronization process between several harmonic oscillators. It has been used to model biological phenomena such as the synchronizatio…
math.DS2016★ 16 cited
The Pitchfork Bifurcation
Indika Rajapakse, Steve Smale
We give development of a new theory of the Pitchfork bifurcation, which removes the perspective of the third derivative and a requirement of symmetry.
math.DS2015
Mathematics of the Genome
Indika Rajapakse, Steve Smale
This work gives a mathematical foundation for bifurcation from a stable equilibrium in the genome. We construct idealized dynamics associated with the genome. For this dynamics we…