FEIGENBAUM’S CONSTANT FOR MEROMORPHIC FUNCTIONS
Copyright policy )FEIGENBAUM’S CONSTANT FOR MEROMORPHIC FUNCTIONS
We calculate Feigenbaum’s constant for a double-periodic meromorphic function: the Jacobian elliptic function sn[2K (m)x, m]. For m=0 this function reduces to sin(πx), with real period, while for m=1 it reduces to a hyperbolic tangent, having a pure imaginary period. For intermediary m values it is unimodal but with a non-quadratic m-dependent maximum. The bifurcation tree for sn[2K(m)x, m], although very much compressed in [0, 1], presents δ=4.699… for all values of m.
Feigenbaum's constant, doubly periodic meromorphic function, Dynamical systems over complex numbers, Strange attractors, chaotic dynamics of systems with hyperbolic behavior
Feigenbaum's constant, doubly periodic meromorphic function, Dynamical systems over complex numbers, Strange attractors, chaotic dynamics of systems with hyperbolic behavior
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!