## Coupled hopf oscillators

Implementation of a Hopf oscillator template in codyn. The Hopf oscillator is represented in polar coordinates. After having defined the template, 5 oscillators are created with randomized initial conditions. Bidirectional coupling between subsequent oscillators (i.e. coupled in a chain) is defined such that the oscillators converge to exactly one single traveling wave across all oscillators. Line 40 shows how to use embedded calculations which are evaluated at parse time.

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templates { node "polar_hopf" { f = 1 omega = "2 * pi * f" p' = "omega" mu = 1 gamma = 5 r = "mu" r' = "gamma * (mu - r^2) * r" x = "r * cos(p)" } edge "polar_coupling" { bias = 0 weight = 1 p' += "weight * input.r * sin(input.p - output.p - bias)" } } # Define a macro 'n'. Its value can be used later # using the @n syntax. defines { n = "5" } node "h{1:@n}" : polar_hopf { p = "rand(-pi, pi)" r = 0.001 } <bidirectional> edge from "h{1:@n}" to "h$(@1 + 1)" : polar_coupling { s = [-1, 1] bias = "s * $(2 * pi / @n)" } |