PyCoBi.automated_continuation

Module that contains functions for automated parameter continuation / bifurcation analysis routines.

pycobi.automated_continuation.codim2_search(params: list, starting_points: list, origin: str | int | Any, pyauto_instance: ODESystem, max_recursion_depth: int = 3, recursion: int = 0, periodic: bool = False, kwargs_2D_lc_cont: dict | None = None, kwargs_lc_cont: dict | None = None, kwargs_2D_cont: dict | None = None, precision=2, **kwargs) → dict

Performs automatic continuation of codim 1 bifurcation points in 2 parameters and searches for codimension 2 bifurcations along the solution curves.

Parameters:

• params –

• starting_points –

• origin –

• pyauto_instance –

• max_recursion_depth –

• recursion –

• periodic –

• kwargs_2D_lc_cont –

• kwargs_lc_cont –

• kwargs_2D_cont –

• precision –

• kwargs –

pycobi.automated_continuation.continue_period_doubling_bf(solution: dict, continuation: str | int | Any, pyauto_instance: Any, max_iter: int = 1000, iteration: int = 0, precision: int = 3, pds: list = [], **kwargs) → tuple

Automatically continue a cascade of period doubling bifurcations. Returns the labels of the continuation and the pycobi instance they were run on.

Parameters:

• solution –

• continuation –

• pyauto_instance –

• max_iter –

• iteration –

• precision –

• pds –

• kwargs –

Return type:

tuple