1. The problem is to generate and draw a bifurcation diagram, which is a visual representation of the possible long-term values (fixed points, periodic orbits, chaos) of a system as a parameter varies. 2. A common example is the logistic map defined by the recurrence relation: $$x_{n+1} = r x_n (1 - x_n)$$ where $r$ is the bifurcation parameter and $x_n$ is the state at iteration $n$. 3. To create the bifurcation diagram, we vary $r$ over a range (e.g., from 2.5 to 4), iterate the logistic map many times for each $r$, discard initial transients, and plot the remaining $x_n$ values against $r$. 4. This diagram shows how the system behavior changes from stable fixed points to periodic doubling and chaos as $r$ increases. 5. Since this is a complex fractal-like plot, it is best visualized graphically rather than expressed as a simple formula. 6. The "desmos" field will show the logistic map function for reference. 7. The SVG field is left empty because the bifurcation diagram is not a simple geometric shape but a complex plot. Final answer: The bifurcation diagram is generated by plotting points $(r, x_n)$ for many iterations of the logistic map as $r$ varies.