PhysicsX2-one-dimensional-maps
This repository stores multiple ways of analysing one-dimensional maps defined on the unit square. All instances of x0 expect a random value of x0 in the range [0, 1]
Map
This class stores the representation of a map, together with it's derivative (used for finding the liapunov exponent) and the range of allowed valus of the parameter r.
Cobweb
Draws a cobweb diagram for a map as given by the map class
Liapunov
Calculates the liapunov exponent by iterating the map n times and determining theseperation from the initial position.
gen_orbit_diagram
Make an orbit diagram for a given map. Optional arguments can be given to restrict the range and resolution of the r-axis to speed up computation.
find_stable
Find the value of a stable point (if any), if no point is found within an appreciable amount of iterations the function returns ∞