conatus.expert.unstable_manifold

conatus.expert.unstable_manifold(system, x0, *, order, degree, eigvec_scale, unstable_tol, par=None, dims=None, resonance_tol=1e-10, degree_tol=1e-08)

Parametrization of the unstable manifold of the equilibrium x0 of system (DynamicalSystem), to the declared order.

degree (2 or 3): declared polynomial degree of G (verified, refused above degree_tol); eigvec_scale: length of each eigenvector (a free scaling of s, declared: it sets how fast the coefficients decay); unstable_tol: eigenvalues with Re λ > unstable_tol are unstable (declared); dims: keep only the dims most unstable (a pair counts 2; the slow sub-manifold is then a strong-unstable one only if the kept eigenvalues dominate, stated).

Parameters:

• order (int)

• degree (int)

• eigvec_scale (float)

• unstable_tol (float)

• dims (int | None)

• resonance_tol (float)

• degree_tol (float)

Return type:

UnstableManifold