docstr: Test accuracy of integrating the deterministic dynamics [6, p. 116]
docstr_tok: ["Test","accuracy","of","integrating","the","deterministic","dynamics","[","6",",","p.","116","]"]
code: def test_relaxation_dynamics(self):
      """
      Test accuracy of integrating the deterministic dynamics [6, p. 116]
      """
      ds = velocity(tau=1.01 / 0.3, R=0)
      v0 = 1.01 * ds.deterministic
  
      Nt = 100  # Number of time steps
      v = ds.simulate(Nt, v0=np.array([v0, 0.0]))
  
      k3t = ds.kappa_3 * ds.tau
      k3st = ds.kappa_3**2 * ds.tau
      a0 = v0 / ds.kappa_3
  
      def acceleration(t):
          return ds.kappa_3 * (
              a0
              * np.sqrt(k3t - 1)
              * np.exp(k3st * t)
              / np.sqrt(
                  np.exp(2.0 * k3st * t) * ds.Q * a0**2
                  + np.exp(2.0 * ds.kappa_3 * t)
                  * (k3t - 1 - ds.Q * a0**2)
              )
          )
  
      t = ds.delta_t * np.arange(Nt)
      return np.testing.assert_array_almost_equal(
          v[:, 0], np.vectorize(acceleration)(t), decimal=8
      )
  
imports: import unittest
  import dask.dataframe
  import numpy
  import pandas
  from tsfresh import extract_features, extract_relevant_features
  from tsfresh.examples.driftbif_simulation import load_driftbif, sample_tau, velocity
  from tsfresh.feature_extraction import MinimalFCParameters
label_desc: Use image node_id 3 for calling the DriftBifSimlationTestCase obj's underlying member method code with example usage: obj.test_relaxation_dynamics() and returns: np, unknown