Parameter continuation (continuation)

Natural-parameter continuation driven by a user-supplied step function, and pseudo-arclength continuation of a curve F(u) = 0 given F and its Jacobian. The specialised continuations mappy_ds.root.trace_cycle(), mappy_ds.root.trace_local_bf() and mappy_ds.root.trace_cycle_arclength() are built on them.

Natural parameter

continuation(fun, y0, params, param_key, ...)	Continue the solution of a step function along a parameter.
StepFunctionResult(success[, y, params, info])	Return value of a step function passed to continuation().
ContinuationStep(y, params[, info])	One successful step of a parameter continuation.

Pseudo-arclength

arclength_continuation(fun, u0, *[, step, ...])	Follow a solution curve of F(u) = 0 by pseudo-arclength continuation.
ArclengthPoint(u, tangent, step, ...)	One accepted point of arclength_continuation().