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Resolution of the Quinn–Rand–Strogatz Constant of Nonlinear Physics
2009
Experimental Mathematics
Herein we develop connections between zeta functions and some recent "mysterious" constants of nonlinear physics. In an important analysis of coupled Winfree oscillators, Quinn, Rand, and Strogatz [14] developed a certain N -oscillator scenario whose bifurcation phase offset φ is implicitly defined, with a conjectured asymptotic behavior: sin φ ∼ 1 − c 1 /N , with experimental estimate c 1 = 0.605443657 . . .. We are able to derive the exact theoretical value of this "QRS constant" c 1 as a
doi:10.1080/10586458.2009.10128885
fatcat:unxmwm2jyjcpbdgr24q5iym3ta