eto-circular.toml

Kaynak: src/dynlib/models/ode/eto-circular.toml

#! dynlib
# ETO (Energy Template Oscillator) with Circular L Curve
# See https://doi.org/10.28948/ngumuh.1458253 (Öztürk, 2024)

[model]
type = "ode"
name = "ETO-Circular"
dtype = "float64"

[states]
x = 0.1
y = 0.1

[params]
# These defaults are for limit cycle
a  = 2.0
mu = 0.8

[equations.rhs]
x = "-x*(x**2+y**2-a) + mu*(x+y)*(x**2+y**2-a) + a*y"
y = "-y*(x**2+y**2-a) + mu*(y-x)*(x**2+y**2-a) - a*x"

[equations.jacobian]
expr = [
    ["(mu-1)*(x**2 + y**2 - a) + 2*x*((mu-1)*x + mu*y)", "mu*(x**2 + y**2 - a) + 2*y*((mu-1)*x + mu*y) + a"],
    ["-mu*(x**2 + y**2 - a) + 2*x*(-mu*x + (mu-1)*y) - a", "(mu-1)*(x**2 + y**2 - a) + 2*y*(-mu*x + (mu-1)*y)"]
]