Bifurcation diagrams in Python Following the online course " Introduction to Dynamical Systems and Chaos " from Santa Fe Institute, I decided to attempt my own implementation of bifurcation diagrams. Below the instructions on how to setup and run the project.

We will draw the system's bifurcation diagram, which shows the possible long-term behaviors (equilibria, fixed points, periodic orbits, and chaotic trajectories) as a function of the system's parameter.

I'd like to draw the bifurcation diagram of the sequence : x (n+1)=u x (n) (1-x (n)) with x (0)=0.7 and u between 0.7 and 4. I am supposed to get something like this : So, for each value of u, I'd like to calculate the accumulation points of this sequence.

2017年2月17日 · I am trying to come up with a code that will allow me to plot a diagram for period doubling bifurcation. I am using the equation x = rx − 1(1 − x) , and am trying to model it with r values from 0.5 to 4.

bifurcationkitpy is a package for computing bifurcation diagrams in Python. It utilizes BifurcationKit.jl for its core routines. This package borrows most of its code from diffeqpy.

2023年12月26日 · Learn how to draw a bifurcation diagram with this easy-to-follow guide. With step-by-step instructions and clear diagrams, you'll be able to create your own bifurcation diagrams in no time. Bifurcation diagrams are a powerful tool for visualizing and understanding complex systems.

2022年10月9日 · How can one implement a bifurcation diagram of a seasonally forced epidemiological model such as SEIR (susceptible, exposed, infected, recovered) in Python? I already know how to implement the model itself and display a sampled time series (see this stackoverflow question), but I am struggling with reproducing a bifurcation figure from a textbook.

2019年9月15日 · In this notebook, I’m attempting to explore three different kinds of maps, and their associated period doubling behaviour, through bifurcation diagrams. Logistic map : A relatively well known function described by , the logistic map ‘s bifurcation diagram is plotted as the change in with varying values of .

2021年8月16日 · Bifurcation Diagram — Chaos starts at x = 3. The bifurcation diagram can be easily created in Python using the below code.

2019年10月25日 · A Bifurcation Diagram shows that the stability of a system can be highly dependant on the inputs. It is calculated by looping the folowing equation, for a number of iterations, and every r in a defined range. Then the results are plotted with each r on the x-axis, and x on the y-axis