AtmosphericRegime¶

Systems · Continuous · Climate geophysics

Dimension: 3

Equations¶

\[ \begin{aligned} \dot{y_{0}} &= \mu_{1} y_{0} + \sigma y_{0} y_{1} \\ \dot{y_{1}} &= \alpha y_{1} y_{2} + \beta y_{2}^{2} + \mu_{2} y_{1} + \omega y_{2} - \sigma y_{0}^{2} \\ \dot{y_{2}} &= - \alpha y_{1}^{2} - \beta y_{1} y_{2} + \mu_{2} y_{2} - \omega y_{1} \end{aligned} \]

Parameters¶

parameter	default
`alpha`	`-2.0`
`beta`	`-5.0`
`mu1`	`0.05`
`mu2`	`-0.01`
`omega`	`3.0`
`sigma`	`1.1`

Usage¶

import tsdynamics as ts

sys = ts.AtmosphericRegime()
traj = sys.integrate(final_time=100.0, dt=0.01)

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