Periodic points and bifurcations (root)#

Root finding for periodic points and local bifurcations of any Map, and their continuation. See Periodic points, bifurcations, continuation for a walkthrough.

Periodic points#

find_cycle(diffeo, y0[, params, period])

Find a periodic point of a map.

trace_cycle(diffeo, y0, params, param_key, ...)

Continue a periodic point along a parameter.

trace_cycle_arclength(diffeo, y0, params, ...)

Follow a branch of periodic points by pseudo-arclength continuation.

CycleResult(success, y, eigvals, eigvecs, ...)

Result of find_cycle().

Local bifurcations#

find_local_bf(diffeo, y0, params, param_key, ...)

Find a local bifurcation point of a periodic point.

trace_local_bf(diffeo, y0, params, ...[, ...])

Continue a local bifurcation along a second parameter.

trace_local_bf_arclength(diffeo, y0, params, ...)

Follow a local-bifurcation curve by pseudo-arclength continuation.

LocalBfResult(success, y, eigvals, eigvecs, ...)

Result of find_local_bf().